{"id":122738,"date":"2026-11-05T15:34:19","date_gmt":"2026-11-05T07:34:19","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/122738.html"},"modified":"2026-11-05T15:34:19","modified_gmt":"2026-11-05T07:34:19","slug":"%e8%bd%af%e8%80%83%e4%b8%ad%e7%ba%a7%e8%bd%af%e4%bb%b6%e8%ae%be%e8%ae%a1%e5%b8%88%e9%ab%98%e9%a2%91%e8%80%83%e7%82%b9%ef%bc%9a%e5%8e%9f%e7%a0%81%e5%8f%8d%e7%a0%81%e8%a1%a5%e7%a0%81%e7%a7%bb%e7%a0%81","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/122738.html","title":{"rendered":"\u8f6f\u8003\u4e2d\u7ea7\u8f6f\u4ef6\u8bbe\u8ba1\u5e08\u9ad8\u9891\u8003\u70b9\uff1a\u539f\u7801\u53cd\u7801\u8865\u7801\u79fb\u7801\u8868\u793a\u8303\u56f4\u4e0eIEEE 754\u6d6e\u70b9\u6570\u8fd0\u7b97\u771f\u9898\u8be6\u89e3\uff08\u9644\u5386\u5e74\u771f\u9898\u00b7\u767e\u5ea6\u7f51\u76d8\uff09"},"content":{"rendered":"<h2>\u8f6f\u8003\u4e2d\u7ea7\u8f6f\u4ef6\u8bbe\u8ba1\u5e08\u9ad8\u9891\u8003\u70b9&#xff1a;\u539f\u7801\u53cd\u7801\u8865\u7801\u79fb\u7801\u8868\u793a\u8303\u56f4\u4e0eIEEE 754\u6d6e\u70b9\u6570\u8fd0\u7b97\u771f\u9898\u8be6\u89e3&#xff08;\u9644\u5386\u5e74\u771f\u9898\u00b7\u767e\u5ea6\u7f51\u76d8&#xff09;<\/h2>\n<p>&#x1f3af; \u6240\u5c5e\u8003\u7eb2\u6a21\u5757&#xff1a;\u4e13\u9898\u4e00 \u8ba1\u7b97\u673a\u4f53\u7cfb\u7ed3\u6784\u4e0e\u786c\u4ef6\u7cfb\u7edf&#xff08;\u8003\u70b9 01&#xff1a;\u6570\u636e\u7684\u8868\u793a\u4e0e\u6d6e\u70b9\u6570\u8fd0\u7b97&#xff09; &#x1f3f7;\ufe0f \u8003\u67e5\u9898\u578b&#xff1a;\u4e0a\u5348\u7efc\u5408\u77e5\u8bc6\u5355\u9009\u9898&#xff08;\u6bcf\u5e74\u7b2c 1~3 \u9898\u5fc5\u8003&#xff0c;\u5206\u503c 2~3 \u5206&#xff09; &#x1f4cc; \u6838\u5fc3\u77e5\u8bc6\u70b9&#xff1a;\u539f\u7801\/\u53cd\u7801\/\u8865\u7801\/\u79fb\u7801\u5b9a\u4e49\u4e0e\u6781\u503c\u8303\u56f4\u3001\u8865\u7801\u6a21\u8fd0\u7b97\u672c\u8d28\u3001IEEE 754 \u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\u7ed3\u6784\u3001\u6d6e\u70b9\u6570\u5bf9\u9636\u4e0e\u89c4\u683c\u5316 &#x1f4bb; \u5b9e\u64cd\u9a8c\u8bc1\u73af\u5883&#xff1a;Python 3.10&#043; \/ Linux x86_64&#xff08;\u6587\u5185\u9644\u53ef\u8fd0\u884c\u4e8c\u8fdb\u5236\u4e0e\u6d6e\u70b9\u62c6\u89e3\u9a8c\u8bc1\u4ee3\u7801&#xff09;<\/p>\n<\/p>\n<h4>\u672c\u6587\u6838\u5fc3\u77e5\u8bc6\u70b9\u76ee\u5f55<\/h4>\n<ul>\n<li>\u8f6f\u8003\u4e2d\u7ea7\u8f6f\u4ef6\u8bbe\u8ba1\u5e08\u9ad8\u9891\u8003\u70b9&#xff1a;\u539f\u7801\u53cd\u7801\u8865\u7801\u79fb\u7801\u8868\u793a\u8303\u56f4\u4e0eIEEE 754\u6d6e\u70b9\u6570\u8fd0\u7b97\u771f\u9898\u8be6\u89e3&#xff08;\u9644\u5386\u5e74\u771f\u9898\u00b7\u767e\u5ea6\u7f51\u76d8&#xff09;<\/li>\n<li>\n<ul>\n<li>\u4e00\u3001 \u56db\u5927\u5b9a\u70b9\u673a\u5668\u6570\u7f16\u7801\u539f\u7406\u4e0e\u8868\u793a\u8303\u56f4<\/li>\n<li>\n<ul>\n<li>1. \u539f\u7801\u3001\u53cd\u7801\u3001\u8865\u7801\u4e0e\u79fb\u7801\u6838\u5fc3\u5b9a\u4e49<\/li>\n<li>2. <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>             n<\/p>\n<p>            n<\/p>\n<p>         <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u4f4d\u5b9a\u70b9\u6570\u8868\u793a\u8303\u56f4\u5168\u666f\u5bf9\u6bd4&#xff08;\u5fc5\u80cc\u91d1\u8868&#xff09;<\/li>\n<\/ul>\n<\/li>\n<li>\u4e8c\u3001 IEEE 754 \u6d6e\u70b9\u6570\u8868\u793a\u89c4\u8303\u4e0e\u7ed3\u6784\u89e3\u6790<\/li>\n<li>\n<ul>\n<li>1. \u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570&#xff08;32 \u4f4d&#xff09;\u5b57\u6bb5\u5212\u5206<\/li>\n<\/ul>\n<\/li>\n<li>\u4e09\u3001 \u6d6e\u70b9\u6570\u52a0\u51cf\u8fd0\u7b97\u5168\u6d41\u7a0b\u4e0e\u5bf9\u9636\u89c4\u5219<\/li>\n<li>\n<ul>\n<li>\u6838\u5fc3\u8fd0\u7b97\u89c4\u5219\u5256\u6790&#xff1a;<\/li>\n<\/ul>\n<\/li>\n<li>\u56db\u3001 Python \u9a8c\u8bc1\u5b9e\u9a8c&#xff1a;IEEE 754 \u5e95\u5c42\u4e8c\u8fdb\u5236\u4f4d\u4e0e\u8865\u7801\u9006\u5411<\/li>\n<li>\u4e94\u3001 \u5386\u5e74\u673a\u8003\u771f\u9898\u5207\u7247\u4e0e\u6df1\u5ea6\u89e3\u6790<\/li>\n<li>\n<ul>\n<li>&#x1f4a1; \u771f\u9898\u5207\u7247\u4e00&#xff08;\u8865\u7801\u8868\u793a\u8303\u56f4\u4e0e\u6781\u503c\u5bf9\u5e94&#xff09;<\/li>\n<li>&#x1f4a1; \u771f\u9898\u5207\u7247\u4e8c&#xff08;\u6d6e\u70b9\u6570\u52a0\u51cf\u5bf9\u9636\u539f\u5219\u4e0e\u5c3e\u6570\u79fb\u4f4d&#xff09;<\/li>\n<li>&#x1f4a1; \u771f\u9898\u5207\u7247\u4e09&#xff08;IEEE 754 \u9636\u7801\u504f\u7f6e\u503c\u4e0e\u89c4\u683c\u5316\u9690\u85cf\u4f4d&#xff09;<\/li>\n<li>\u9644&#xff1a;\u76f8\u5173\u771f\u9898\u4e0e\u590d\u4e60\u8d44\u6599<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u5728\u8ba1\u7b97\u673a\u5e95\u5c42\u786c\u4ef6\u4e2d&#xff0c;\u6240\u6709\u6570\u636e\u5747\u4ee5\u4e8c\u8fdb\u5236\u7535\u4fe1\u53f7\u7684\u5f62\u5f0f\u8fdb\u884c\u5b58\u50a8\u548c\u8fd0\u7b97\u3002\u7531\u4e8e\u786c\u4ef6\u7535\u8def\u5904\u7406\u7b26\u53f7\u4f4d\u4e0e\u6570\u503c\u4f4d\u65f6\u7684\u903b\u8f91\u5f00\u9500\u4e0d\u540c&#xff0c;\u8ba1\u7b97\u673a\u79d1\u5b66\u53d1\u5c55\u51fa\u4e86\u539f\u7801\u3001\u53cd\u7801\u3001\u8865\u7801\u4ee5\u53ca\u79fb\u7801\u7b49\u591a\u79cd\u5b9a\u70b9\u7f16\u7801\u4f53\u7cfb\u3002\u6b64\u5916&#xff0c;\u4e3a\u4e86\u5728\u6709\u9650\u5b57\u957f\u5185\u5e73\u8861\u6570\u503c\u8868\u793a\u7684\u52a8\u6001\u8303\u56f4\u4e0e\u7cbe\u5ea6&#xff0c;IEEE 754 \u6d6e\u70b9\u6570\u6807\u51c6\u6210\u4e3a\u4e86\u73b0\u4ee3 CPU \u7684\u901a\u7528\u89c4\u8303\u3002<\/p>\n<p>\u5728\u8f6f\u8003\u8f6f\u4ef6\u8bbe\u8ba1\u5e08\u8003\u8bd5\u4e2d&#xff0c;\u201c\u5b9a\u70b9\u6570\u7f16\u7801\u8868\u793a\u8303\u56f4\u201d\u4e0e\u201cIEEE 754 \u6d6e\u70b9\u6570\u52a0\u51cf\u8fd0\u7b97\u673a\u5236\u201d\u662f\u4e0a\u5348\u573a\u8bd5\u5377\u5f00\u7bc7\u524d\u4e09\u9898\u7684\u201c\u5e38\u5ba2\u201d\u3002\u672c\u6587\u5c06\u4ece\u5e95\u5c42\u6570\u5b66\u903b\u8f91\u51fa\u53d1&#xff0c;\u5f7b\u5e95\u5398\u6e05\u8865\u7801\u7684\u6a21\u8fd0\u7b97\u673a\u5236\u3001\u5168\u5957\u8868\u793a\u8303\u56f4\u8ba1\u7b97\u516c\u5f0f\u4ee5\u53ca\u6d6e\u70b9\u6570\u5bf9\u9636\u8fd0\u7b97\u7684\u9ec4\u91d1\u6cd5\u5219&#xff0c;\u5e76\u901a\u8fc7\u673a\u8003\u539f\u9898\u8fdb\u884c\u62c6\u89e3\u3002<\/p>\n<hr \/>\n<h3>\u4e00\u3001 \u56db\u5927\u5b9a\u70b9\u673a\u5668\u6570\u7f16\u7801\u539f\u7406\u4e0e\u8868\u793a\u8303\u56f4<\/h3>\n<p>\u8bbe\u673a\u5668\u5b57\u957f\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        n<\/p>\n<p>       n<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u4f4d&#xff0c;\u5176\u4e2d\u6700\u9ad8\u4f4d\u4e3a\u7b26\u53f7\u4f4d&#xff08;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        0<\/p>\n<p>       0<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u6b63\u53f7&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        1<\/p>\n<p>       1<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u8d1f\u53f7&#xff09;&#xff0c;\u5176\u4f59 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        n<\/p>\n<p>        \u2212<\/p>\n<p>        1<\/p>\n<p>       n-1<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\">n<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span> \u4f4d\u8868\u793a\u6570\u503c\u7edd\u5bf9\u503c\u3002<\/p>\n<h4>1. \u539f\u7801\u3001\u53cd\u7801\u3001\u8865\u7801\u4e0e\u79fb\u7801\u6838\u5fc3\u5b9a\u4e49<\/h4>\n<li>\n<p>\u539f\u7801&#xff08;True Form&#xff09;&#xff1a;<\/p>\n<ul>\n<li>\u6700\u9ad8\u4f4d\u4e3a\u7b26\u53f7\u4f4d&#xff0c;\u6570\u503c\u90e8\u5206\u76f4\u63a5\u4ee5\u7edd\u5bf9\u503c\u7684\u4e8c\u8fdb\u5236\u5f62\u5f0f\u7ed9\u51fa\u3002<\/li>\n<li>\u7279\u70b9&#xff1a;\u5b58\u5728\u201c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           &#043;<\/p>\n<p>           0<\/p>\n<p>          &#043;0<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">&#043;<\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\u201d\u4e0e\u201c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u2212<\/p>\n<p>           0<\/p>\n<p>          -0<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\u201d\u4e24\u79cd\u4e0d\u540c\u7f16\u7801&#xff1a; <\/p>\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>             [<\/p>\n<p>             &#043;<\/p>\n<p>             0<\/p>\n<p>              ]<\/p>\n<p>              \u539f<\/p>\n<p>             &#061;<\/p>\n<p>             0000<\/p>\n<p>             \u2026<\/p>\n<p>             0<\/p>\n<p>            [&#043;0]_{\\\\text{\u539f}} &#061; 0000\\\\dots0<\/p>\n<p>         <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">&#043;<\/span><span class=\"mord\">0<\/span><span class=\"mclose\"><span class=\"mclose\">]<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord cjk_fallback mtight\">\u539f<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0000<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span><\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>             [<\/p>\n<p>             \u2212<\/p>\n<p>             0<\/p>\n<p>              ]<\/p>\n<p>              \u539f<\/p>\n<p>             &#061;<\/p>\n<p>             1000<\/p>\n<p>             \u2026<\/p>\n<p>             0<\/p>\n<p>            [-0]_{\\\\text{\u539f}} &#061; 1000\\\\dots0<\/p>\n<p>         <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">0<\/span><span class=\"mclose\"><span class=\"mclose\">]<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord cjk_fallback mtight\">\u539f<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1000<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n<\/li>\n<li>\u75db\u70b9&#xff1a;\u8fdb\u884c\u51cf\u6cd5\u8fd0\u7b97\u65f6\u5fc5\u987b\u5f15\u5165\u51cf\u6cd5\u5668&#xff0c;\u786c\u4ef6\u8bbe\u8ba1\u590d\u6742\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u53cd\u7801&#xff08;Inverse Form&#xff09;&#xff1a;<\/p>\n<ul>\n<li>\u6b63\u6570\u7684\u53cd\u7801\u4e0e\u5176\u539f\u7801\u5b8c\u5168\u76f8\u540c&#xff1b;\u8d1f\u6570\u7684\u53cd\u7801\u5219\u662f\u7b26\u53f7\u4f4d\u4fdd\u6301\u4e3a 1&#xff0c;\u6570\u503c\u5404\u4f4d\u6309\u4f4d\u53d6\u53cd\u3002<\/li>\n<li>\u7279\u70b9&#xff1a;\u540c\u6837\u5b58\u5728\u53cc\u91cd\u96f6&#xff1a;\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>             [<\/p>\n<p>             &#043;<\/p>\n<p>             0<\/p>\n<p>              ]<\/p>\n<p>              \u53cd<\/p>\n<p>             &#061;<\/p>\n<p>             0000<\/p>\n<p>             \u2026<\/p>\n<p>             0<\/p>\n<p>            [&#043;0]_{\\\\text{\u53cd}} &#061; 0000\\\\dots0<\/p>\n<p>         <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">&#043;<\/span><span class=\"mord\">0<\/span><span class=\"mclose\"><span class=\"mclose\">]<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord cjk_fallback mtight\">\u53cd<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0000<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span><\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>             [<\/p>\n<p>             \u2212<\/p>\n<p>             0<\/p>\n<p>              ]<\/p>\n<p>              \u53cd<\/p>\n<p>             &#061;<\/p>\n<p>             1111<\/p>\n<p>             \u2026<\/p>\n<p>             1<\/p>\n<p>            [-0]_{\\\\text{\u53cd}} &#061; 1111\\\\dots1<\/p>\n<p>         <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">0<\/span><span class=\"mclose\"><span class=\"mclose\">]<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord cjk_fallback mtight\">\u53cd<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1111<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u8865\u7801&#xff08;Complement Form&#xff09;&#xff1a;<\/p>\n<ul>\n<li>\u6b63\u6570\u7684\u8865\u7801\u4e0e\u5176\u539f\u7801\u76f8\u540c&#xff1b;\u8d1f\u6570\u7684\u8865\u7801\u662f\u5176\u53cd\u7801\u672b\u4f4d\u52a0 1&#xff08;\u5373\u7b26\u53f7\u4f4d\u4e3a 1&#xff0c;\u6570\u503c\u5404\u4f4d\u53d6\u53cd\u540e\u52a0 1&#xff09;\u3002<\/li>\n<li>\u6a21\u8fd0\u7b97\u672c\u8d28&#xff1a;\u8865\u7801\u5229\u7528\u540c\u4f59\u7406\u8bba&#xff0c;\u5c06\u51cf\u6cd5\u8fd0\u7b97\u7edf\u4e00\u8f6c\u6362\u4e3a\u52a0\u6cd5\u8fd0\u7b97\u3002\u5728 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           n<\/p>\n<p>          n<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u4f4d\u5b57\u957f\u4e0b&#xff0c;\u8fd0\u7b97\u6a21\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            2<\/p>\n<p>            n<\/p>\n<p>          2^n<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6644em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6644em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            [<\/p>\n<p>            X<\/p>\n<p>             ]<\/p>\n<p>             \u8865<\/p>\n<p>            &#061;<\/p>\n<p>             2<\/p>\n<p>             n<\/p>\n<p>            &#043;<\/p>\n<p>            X<\/p>\n<p>            (<\/p>\n<p>             m<\/p>\n<p>             o<\/p>\n<p>             d<\/p>\n<p>             2<\/p>\n<p>             n<\/p>\n<p>            )<\/p>\n<p>            (<\/p>\n<p>            \u2212<\/p>\n<p>             2<\/p>\n<p>              n<\/p>\n<p>              \u2212<\/p>\n<p>              1<\/p>\n<p>            \u2264<\/p>\n<p>            X<\/p>\n<p>            &lt;<\/p>\n<p>            0<\/p>\n<p>            )<\/p>\n<p>           [X]_{\\\\text{\u8865}} &#061; 2^n &#043; X \\\\pmod{2^n} \\\\quad (-2^{n-1} \\\\le X &lt; 0)<\/p>\n<p>        <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"mclose\"><span class=\"mclose\">]<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord cjk_fallback mtight\">\u8865<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7977em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7144em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"mspace allowbreak\"><\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1141em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathrm\">mod<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.3333em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7144em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2264<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7224em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">0<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u7279\u70b9&#xff1a;\u96f6\u7684\u8868\u793a\u5177\u6709\u552f\u4e00\u6027&#xff1a;\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>             [<\/p>\n<p>             &#043;<\/p>\n<p>             0<\/p>\n<p>              ]<\/p>\n<p>              \u8865<\/p>\n<p>             &#061;<\/p>\n<p>             [<\/p>\n<p>             \u2212<\/p>\n<p>             0<\/p>\n<p>              ]<\/p>\n<p>              \u8865<\/p>\n<p>             &#061;<\/p>\n<p>             0000<\/p>\n<p>             \u2026<\/p>\n<p>             0<\/p>\n<p>            [&#043;0]_{\\\\text{\u8865}} &#061; [-0]_{\\\\text{\u8865}} &#061; 0000\\\\dots0<\/p>\n<p>         <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">&#043;<\/span><span class=\"mord\">0<\/span><span class=\"mclose\"><span class=\"mclose\">]<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord cjk_fallback mtight\">\u8865<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">0<\/span><span class=\"mclose\"><span class=\"mclose\">]<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord cjk_fallback mtight\">\u8865<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0000<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>            \u2212<\/p>\n<p>             2<\/p>\n<p>              n<\/p>\n<p>              \u2212<\/p>\n<p>              1<\/p>\n<p>           -2^{n-1}<\/p>\n<p>        <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8974em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u7279\u6b8a\u6027&#xff1a;\u7a7a\u51fa\u6765\u7684\u72b6\u6001\u7f16\u7801 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           1000<\/p>\n<p>           \u2026<\/p>\n<p>           0<\/p>\n<p>          1000\\\\dots0<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1000<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span> \u89c4\u5b9a\u7528\u6765\u8868\u793a\u8d1f\u6781\u503c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u2212<\/p>\n<p>            2<\/p>\n<p>             n<\/p>\n<p>             \u2212<\/p>\n<p>             1<\/p>\n<p>          -2^{n-1}<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8974em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u8be5\u6570\u5728\u539f\u7801\u548c\u53cd\u7801\u4e2d\u5747\u65e0\u6cd5\u8868\u793a\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u79fb\u7801&#xff08;Excess Form \/ Bias Form&#xff09;&#xff1a;<\/p>\n<ul>\n<li>\u79fb\u7801\u4e3b\u8981\u7528\u4e8e\u8868\u793a\u6d6e\u70b9\u6570\u7684\u9636\u7801\u3002\u5176\u89c4\u5219\u4e3a\u5728\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           X<\/p>\n<p>          X<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><\/span><\/span><\/span><\/span> \u4e0a\u52a0\u4e0a\u4e00\u4e2a\u56fa\u5b9a\u7684\u504f\u7f6e\u5e38\u6570&#xff08;Bias&#xff09;&#xff0c;\u5728\u5b9a\u70b9\u6574\u6570\u4e2d\u901a\u5e38\u53d6 Bias &#061; <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            2<\/p>\n<p>             n<\/p>\n<p>             \u2212<\/p>\n<p>             1<\/p>\n<p>          2^{n-1}<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<li>\u6781\u7b80\u8f6c\u6362\u53e3\u8bc0&#xff1a;\u79fb\u7801\u5c31\u662f\u8865\u7801\u7684\u7b26\u53f7\u4f4d\u53d6\u53cd&#xff0c;\u6570\u503c\u4f4d\u4fdd\u6301\u4e0d\u53d8\u3002<\/li>\n<li>\u96f6\u7684\u8868\u793a\u552f\u4e00&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           [<\/p>\n<p>           &#043;<\/p>\n<p>           0<\/p>\n<p>            ]<\/p>\n<p>            \u79fb<\/p>\n<p>           &#061;<\/p>\n<p>           1000<\/p>\n<p>           \u2026<\/p>\n<p>           0<\/p>\n<p>          [&#043;0]_{\\\\text{\u79fb}} &#061; 1000\\\\dots0<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">&#043;<\/span><span class=\"mord\">0<\/span><span class=\"mclose\"><span class=\"mclose\">]<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord cjk_fallback mtight\">\u79fb<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1000<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<\/ul>\n<\/li>\n<hr \/>\n<h4>2. <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        n<\/p>\n<p>       n<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u4f4d\u5b9a\u70b9\u6570\u8868\u793a\u8303\u56f4\u5168\u666f\u5bf9\u6bd4&#xff08;\u5fc5\u80cc\u91d1\u8868&#xff09;<\/h4>\n<table>\n<tr>\u7f16\u7801\u7c7b\u578b<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           n<\/p>\n<p>          n<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u4f4d\u5b9a\u70b9\u6574\u6570\u8303\u56f4<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           n<\/p>\n<p>           &#061;<\/p>\n<p>           8<\/p>\n<p>          n&#061;8<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">8<\/span><\/span><\/span><\/span><\/span> \u4f4d\u6574\u6570\u8303\u56f4&#xff08;\u5341\u8fdb\u5236\u4e0e\u5341\u516d\u8fdb\u5236&#xff09;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           n<\/p>\n<p>          n<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u4f4d\u5b9a\u70b9\u5c0f\u6570\u8303\u56f4<\/tr>\n<tbody>\n<tr>\n<td align=\"left\">\u539f\u7801<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u2212<\/p>\n<p>           (<\/p>\n<p>            2<\/p>\n<p>             n<\/p>\n<p>             \u2212<\/p>\n<p>             1<\/p>\n<p>           \u2212<\/p>\n<p>           1<\/p>\n<p>           )<\/p>\n<p>           \u223c<\/p>\n<p>           &#043;<\/p>\n<p>           (<\/p>\n<p>            2<\/p>\n<p>             n<\/p>\n<p>             \u2212<\/p>\n<p>             1<\/p>\n<p>           \u2212<\/p>\n<p>           1<\/p>\n<p>           )<\/p>\n<p>          -(2^{n-1}-1) \\\\sim &#043;(2^{n-1}-1)<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mord\">&#043;<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u2212<\/p>\n<p>           127<\/p>\n<p>           \u223c<\/p>\n<p>           &#043;<\/p>\n<p>           127<\/p>\n<p>          -127 \\\\sim &#043;127<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">127<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">&#043;<\/span><span class=\"mord\">127<\/span><\/span><\/span><\/span><\/span>&#xff08;81H <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u223c<\/p>\n<p>          \\\\sim<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.3669em\"><\/span><span class=\"mrel\">\u223c<\/span><\/span><\/span><\/span><\/span> 7FH&#xff09;<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u2212<\/p>\n<p>           (<\/p>\n<p>           1<\/p>\n<p>           \u2212<\/p>\n<p>            2<\/p>\n<p>             \u2212<\/p>\n<p>             (<\/p>\n<p>             n<\/p>\n<p>             \u2212<\/p>\n<p>             1<\/p>\n<p>             )<\/p>\n<p>           )<\/p>\n<p>           \u223c<\/p>\n<p>           &#043;<\/p>\n<p>           (<\/p>\n<p>           1<\/p>\n<p>           \u2212<\/p>\n<p>            2<\/p>\n<p>             \u2212<\/p>\n<p>             (<\/p>\n<p>             n<\/p>\n<p>             \u2212<\/p>\n<p>             1<\/p>\n<p>             )<\/p>\n<p>           )<\/p>\n<p>          -(1-2^{-(n-1)}) \\\\sim &#043;(1-2^{-(n-1)})<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">&#043;<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td align=\"left\">\u53cd\u7801<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u2212<\/p>\n<p>           (<\/p>\n<p>            2<\/p>\n<p>             n<\/p>\n<p>             \u2212<\/p>\n<p>             1<\/p>\n<p>           \u2212<\/p>\n<p>           1<\/p>\n<p>           )<\/p>\n<p>           \u223c<\/p>\n<p>           &#043;<\/p>\n<p>           (<\/p>\n<p>            2<\/p>\n<p>             n<\/p>\n<p>             \u2212<\/p>\n<p>             1<\/p>\n<p>           \u2212<\/p>\n<p>           1<\/p>\n<p>           )<\/p>\n<p>          -(2^{n-1}-1) \\\\sim &#043;(2^{n-1}-1)<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mord\">&#043;<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u2212<\/p>\n<p>           127<\/p>\n<p>           \u223c<\/p>\n<p>           &#043;<\/p>\n<p>           127<\/p>\n<p>          -127 \\\\sim &#043;127<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">127<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">&#043;<\/span><span class=\"mord\">127<\/span><\/span><\/span><\/span><\/span>&#xff08;80H <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u223c<\/p>\n<p>          \\\\sim<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.3669em\"><\/span><span class=\"mrel\">\u223c<\/span><\/span><\/span><\/span><\/span> 7FH&#xff09;<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u2212<\/p>\n<p>           (<\/p>\n<p>           1<\/p>\n<p>           \u2212<\/p>\n<p>            2<\/p>\n<p>             \u2212<\/p>\n<p>             (<\/p>\n<p>             n<\/p>\n<p>             \u2212<\/p>\n<p>             1<\/p>\n<p>             )<\/p>\n<p>           )<\/p>\n<p>           \u223c<\/p>\n<p>           &#043;<\/p>\n<p>           (<\/p>\n<p>           1<\/p>\n<p>           \u2212<\/p>\n<p>            2<\/p>\n<p>             \u2212<\/p>\n<p>             (<\/p>\n<p>             n<\/p>\n<p>             \u2212<\/p>\n<p>             1<\/p>\n<p>             )<\/p>\n<p>           )<\/p>\n<p>          -(1-2^{-(n-1)}) \\\\sim &#043;(1-2^{-(n-1)})<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">&#043;<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td align=\"left\">\u8865\u7801<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            \u2212<\/p>\n<p>             2<\/p>\n<p>              n<\/p>\n<p>              \u2212<\/p>\n<p>              1<\/p>\n<p>            \u223c<\/p>\n<p>            &#043;<\/p>\n<p>            (<\/p>\n<p>             2<\/p>\n<p>              n<\/p>\n<p>              \u2212<\/p>\n<p>              1<\/p>\n<p>            \u2212<\/p>\n<p>            1<\/p>\n<p>            )<\/p>\n<p>           -2^{n-1} \\\\sim &#043;(2^{n-1}-1)<\/p>\n<p>        <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8974em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mord\">&#043;<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            \u2212<\/p>\n<p>            128<\/p>\n<p>            \u223c<\/p>\n<p>            &#043;<\/p>\n<p>            127<\/p>\n<p>           -128 \\\\sim &#043;127<\/p>\n<p>        <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">128<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">&#043;<\/span><span class=\"mord\">127<\/span><\/span><\/span><\/span><\/span>&#xff08;80H <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            \u223c<\/p>\n<p>           \\\\sim<\/p>\n<p>        <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.3669em\"><\/span><span class=\"mrel\">\u223c<\/span><\/span><\/span><\/span><\/span> 7FH&#xff09;<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            \u2212<\/p>\n<p>            1<\/p>\n<p>            \u223c<\/p>\n<p>            &#043;<\/p>\n<p>            (<\/p>\n<p>            1<\/p>\n<p>            \u2212<\/p>\n<p>             2<\/p>\n<p>              \u2212<\/p>\n<p>              (<\/p>\n<p>              n<\/p>\n<p>              \u2212<\/p>\n<p>              1<\/p>\n<p>              )<\/p>\n<p>            )<\/p>\n<p>           -1 \\\\sim &#043;(1-2^{-(n-1)})<\/p>\n<p>        <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">&#043;<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td align=\"left\">\u79fb\u7801<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            \u2212<\/p>\n<p>             2<\/p>\n<p>              n<\/p>\n<p>              \u2212<\/p>\n<p>              1<\/p>\n<p>            \u223c<\/p>\n<p>            &#043;<\/p>\n<p>            (<\/p>\n<p>             2<\/p>\n<p>              n<\/p>\n<p>              \u2212<\/p>\n<p>              1<\/p>\n<p>            \u2212<\/p>\n<p>            1<\/p>\n<p>            )<\/p>\n<p>           -2^{n-1} \\\\sim &#043;(2^{n-1}-1)<\/p>\n<p>        <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8974em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mord\">&#043;<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            \u2212<\/p>\n<p>            128<\/p>\n<p>            \u223c<\/p>\n<p>            &#043;<\/p>\n<p>            127<\/p>\n<p>           -128 \\\\sim &#043;127<\/p>\n<p>        <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">128<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">&#043;<\/span><span class=\"mord\">127<\/span><\/span><\/span><\/span><\/span>&#xff08;00H <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            \u223c<\/p>\n<p>           \\\\sim<\/p>\n<p>        <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.3669em\"><\/span><span class=\"mrel\">\u223c<\/span><\/span><\/span><\/span><\/span> FFH&#xff09;<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            \u2212<\/p>\n<p>            1<\/p>\n<p>            \u223c<\/p>\n<p>            &#043;<\/p>\n<p>            (<\/p>\n<p>            1<\/p>\n<p>            \u2212<\/p>\n<p>             2<\/p>\n<p>              \u2212<\/p>\n<p>              (<\/p>\n<p>              n<\/p>\n<p>              \u2212<\/p>\n<p>              1<\/p>\n<p>              )<\/p>\n<p>            )<\/p>\n<p>           -1 \\\\sim &#043;(1-2^{-(n-1)})<\/p>\n<p>        <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">&#043;<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.138em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&#x1f4a1; \u6838\u5fc3\u8003\u70b9\u9677\u9631&#xff1a;<\/p>\n<li>\u8865\u7801\u548c\u79fb\u7801\u56e0\u96f6\u7684\u8868\u793a\u552f\u4e00&#xff0c;\u5176\u8d1f\u6570\u7aef\u5747\u80fd\u6bd4\u539f\u7801\u3001\u53cd\u7801\u591a\u8868\u793a\u4e00\u4e2a\u8d1f\u6781\u503c&#xff08;\u6574\u6570\u591a\u8868\u793a\u4e00\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          \u2212<\/p>\n<p>           2<\/p>\n<p>            n<\/p>\n<p>            \u2212<\/p>\n<p>            1<\/p>\n<p>         -2^{n-1}<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8974em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5c0f\u6570\u591a\u8868\u793a\u4e00\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          \u2212<\/p>\n<p>          1<\/p>\n<p>         -1<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>&#xff09;\u3002<\/li>\n<li>8 \u4f4d\u8865\u7801\u4e2d&#xff0c;80H&#xff08;\u4e8c\u8fdb\u5236 10000000&#xff09;\u6240\u5bf9\u5e94\u7684\u5341\u8fdb\u5236\u771f\u503c\u5fc5\u987b\u79d2\u7b54&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           \u2212<\/p>\n<p>           128<\/p>\n<p>          -128<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">128<\/span><\/span><\/span><\/span><\/span>&#xff01;<\/li>\n<hr \/>\n<h3>\u4e8c\u3001 IEEE 754 \u6d6e\u70b9\u6570\u8868\u793a\u89c4\u8303\u4e0e\u7ed3\u6784\u89e3\u6790<\/h3>\n<p>\u5728\u8ba1\u7b97\u673a\u4e2d&#xff0c;\u6d6e\u70b9\u6570\u8868\u793a\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        N<\/p>\n<p>        &#061;<\/p>\n<p>        M<\/p>\n<p>        \u00d7<\/p>\n<p>         R<\/p>\n<p>         E<\/p>\n<p>       N &#061; M \\\\times R^E<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8413em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0576em\">E<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        M<\/p>\n<p>       M<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><\/span><\/span><\/span><\/span> \u4e3a\u5c3e\u6570&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        R<\/p>\n<p>       R<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><\/span><\/span><\/span><\/span> \u4e3a\u57fa\u6570&#xff08;\u901a\u5e38\u56fa\u5b9a\u4e3a 2&#xff09;&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        E<\/p>\n<p>       E<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><\/span><\/span><\/span><\/span> \u4e3a\u9636\u7801\u3002<\/p>\n<p>IEEE 754 \u89c4\u8303\u4e2d&#xff0c;**\u5355\u7cbe\u5ea6&#xff08;32 \u4f4d float&#xff09;\u4e0e\u53cc\u7cbe\u5ea6&#xff08;64 \u4f4d double&#xff09;**\u662f\u8003\u7eb2\u8981\u6c42\u638c\u63e1\u7684\u6807\u51c6\u683c\u5f0f\u3002<\/p>\n<h4>1. \u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570&#xff08;32 \u4f4d&#xff09;\u5b57\u6bb5\u5212\u5206<\/h4>\n<p> 31      30          23 22                                 0<br \/>\n\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510<br \/>\n\u2502 S (1) \u2502    E (8)     \u2502                M (23)               \u2502<br \/>\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518<br \/>\n \u7b26\u53f7\u4f4d      \u9636\u7801(\u79fb\u7801)                 \u5c3e\u6570(\u539f\u7801)<\/p>\n<li>\u7b26\u53f7\u4f4d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          S<\/p>\n<p>         S<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><\/span><\/span><\/span><\/span>&#xff08;Sign&#xff0c;1 \u4f4d&#xff09;&#xff1a;\u7b2c 31 \u4f4d\u3002<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         0<\/p>\n<p>        0<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u6b63\u6570&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         1<\/p>\n<p>        1<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u8d1f\u6570\u3002<\/li>\n<li>\u9636\u7801 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          E<\/p>\n<p>         E<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><\/span><\/span><\/span><\/span>&#xff08;Exponent&#xff0c;8 \u4f4d&#xff09;&#xff1a;\u7b2c 30~23 \u4f4d\u3002\u91c7\u7528\u79fb\u7801\u8868\u793a&#xff0c;\u504f\u7f6e\u5e38\u6570&#xff08;Bias&#xff09;\u89c4\u5b9a\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          127<\/p>\n<p>         127<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">127<\/span><\/span><\/span><\/span><\/span>&#xff08;\u5373 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          2<\/p>\n<p>           8<\/p>\n<p>           \u2212<\/p>\n<p>           1<\/p>\n<p>         \u2212<\/p>\n<p>         1<\/p>\n<p>        2^{8-1}-1<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8974em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">8<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>&#xff09;\u3002 <\/p>\n<ul>\n<li>\u9636\u7801\u771f\u5b9e\u503c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           e<\/p>\n<p>           &#061;<\/p>\n<p>           E<\/p>\n<p>           \u2212<\/p>\n<p>           127<\/p>\n<p>          e &#061; E &#8211; 127<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">e<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">127<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           E<\/p>\n<p>          E<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><\/span><\/span><\/span><\/span> \u7684\u53d6\u503c\u8303\u56f4\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           1<\/p>\n<p>           \u223c<\/p>\n<p>           254<\/p>\n<p>          1 \\\\sim 254<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">254<\/span><\/span><\/span><\/span><\/span>&#xff08;\u5168 0 \u548c\u5168 1 \u7559\u4f5c\u7279\u6b8a\u7528\u9014&#xff09;\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u5c3e\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          M<\/p>\n<p>         M<\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><\/span><\/span><\/span><\/span>&#xff08;Mantissa&#xff0c;23 \u4f4d&#xff09;&#xff1a;\u7b2c 22~0 \u4f4d\u3002\u91c7\u7528\u89c4\u683c\u5316\u8868\u793a&#xff0c;\u6700\u9ad8\u6709\u6548\u4f4d\u6052\u4e3a 1&#xff0c;\u4f46\u5728\u5b58\u50a8\u65f6\u88ab\u9690\u542b\u7701\u7565&#xff08;\u88ab\u79f0\u4e3a Hidden Bit&#xff09;\u3002 <\/p>\n<ul>\n<li>\u5b9e\u9645\u6709\u6548\u5c3e\u6570\u503c\u4e3a&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>            1.<\/p>\n<p>            M<\/p>\n<p>           1.M<\/p>\n<p>        <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">1.<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><\/span><\/span><\/span><\/span>&#xff08;\u5373 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           1<\/p>\n<p>           &#043;<\/p>\n<p>            \u2211<\/p>\n<p>             i<\/p>\n<p>             &#061;<\/p>\n<p>             1<\/p>\n<p>            23<\/p>\n<p>            b<\/p>\n<p>             23<\/p>\n<p>             \u2212<\/p>\n<p>             i<\/p>\n<p>           \u22c5<\/p>\n<p>            2<\/p>\n<p>             \u2212<\/p>\n<p>             i<\/p>\n<p>          1 &#043; \\\\sum_{i&#061;1}^{23} b_{23-i} \\\\cdot 2^{-i}<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.2537em;vertical-align: -0.2997em\"><\/span><span class=\"mop\"><span class=\"mop op-symbol small-op\" style=\"position: relative;top: 0em\">\u2211<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.954em\"><span class=\"\" style=\"top: -2.4003em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mrel mtight\">&#061;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2029em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">23<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2997em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">23<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2083em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8247em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8247em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff09;\u3002<\/li>\n<\/ul>\n<\/li>\n<p>\u56e0\u6b64&#xff0c;\u5355\u7cbe\u5ea6\u89c4\u683c\u5316\u6d6e\u70b9\u6570\u7684\u5341\u8fdb\u5236\u771f\u503c\u8ba1\u7b97\u516c\u5f0f\u4e3a&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         V<\/p>\n<p>         &#061;<\/p>\n<p>         (<\/p>\n<p>         \u2212<\/p>\n<p>         1<\/p>\n<p>          )<\/p>\n<p>          S<\/p>\n<p>         \u00d7<\/p>\n<p>         (<\/p>\n<p>         1.<\/p>\n<p>         M<\/p>\n<p>         )<\/p>\n<p>         \u00d7<\/p>\n<p>          2<\/p>\n<p>           E<\/p>\n<p>           \u2212<\/p>\n<p>           127<\/p>\n<p>        V &#061; (-1)^S \\\\times (1.M) \\\\times 2^{E &#8211; 127}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">V<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1413em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8913em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0576em\">S<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1.<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8913em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8913em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">127<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<hr \/>\n<h3>\u4e09\u3001 \u6d6e\u70b9\u6570\u52a0\u51cf\u8fd0\u7b97\u5168\u6d41\u7a0b\u4e0e\u5bf9\u9636\u89c4\u5219<\/h3>\n<p>\u4e24\u6d6e\u70b9\u6570\u8fdb\u884c\u52a0\u51cf\u8fd0\u7b97\u65f6&#xff0c;\u5fc5\u987b\u7ecf\u5386 \u201c\u5bf9\u9636 \u2794 \u5c3e\u6570\u6c42\u548c \u2794 \u89c4\u683c\u5316 \u2794 \u820d\u5165 \u2794 \u6ea2\u51fa\u5224\u65ad\u201d \u4e94\u5927\u7ecf\u5178\u9636\u6bb5\u3002<\/p>\n<p>  #mermaid-svg-LgnPL31GaYUaCQUH{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:16px;fill:#333;}@keyframes edge-animation-frame{from{stroke-dashoffset:0;}}@keyframes dash{to{stroke-dashoffset:0;}}#mermaid-svg-LgnPL31GaYUaCQUH .edge-animation-slow{stroke-dasharray:9,5!important;stroke-dashoffset:900;animation:dash 50s linear infinite;stroke-linecap:round;}#mermaid-svg-LgnPL31GaYUaCQUH .edge-animation-fast{stroke-dasharray:9,5!important;stroke-dashoffset:900;animation:dash 20s linear infinite;stroke-linecap:round;}#mermaid-svg-LgnPL31GaYUaCQUH .error-icon{fill:#552222;}#mermaid-svg-LgnPL31GaYUaCQUH .error-text{fill:#552222;stroke:#552222;}#mermaid-svg-LgnPL31GaYUaCQUH .edge-thickness-normal{stroke-width:1px;}#mermaid-svg-LgnPL31GaYUaCQUH .edge-thickness-thick{stroke-width:3.5px;}#mermaid-svg-LgnPL31GaYUaCQUH .edge-pattern-solid{stroke-dasharray:0;}#mermaid-svg-LgnPL31GaYUaCQUH .edge-thickness-invisible{stroke-width:0;fill:none;}#mermaid-svg-LgnPL31GaYUaCQUH .edge-pattern-dashed{stroke-dasharray:3;}#mermaid-svg-LgnPL31GaYUaCQUH .edge-pattern-dotted{stroke-dasharray:2;}#mermaid-svg-LgnPL31GaYUaCQUH .marker{fill:#333333;stroke:#333333;}#mermaid-svg-LgnPL31GaYUaCQUH .marker.cross{stroke:#333333;}#mermaid-svg-LgnPL31GaYUaCQUH svg{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:16px;}#mermaid-svg-LgnPL31GaYUaCQUH p{margin:0;}#mermaid-svg-LgnPL31GaYUaCQUH .label{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;color:#333;}#mermaid-svg-LgnPL31GaYUaCQUH .cluster-label text{fill:#333;}#mermaid-svg-LgnPL31GaYUaCQUH .cluster-label span{color:#333;}#mermaid-svg-LgnPL31GaYUaCQUH .cluster-label span p{background-color:transparent;}#mermaid-svg-LgnPL31GaYUaCQUH .label text,#mermaid-svg-LgnPL31GaYUaCQUH span{fill:#333;color:#333;}#mermaid-svg-LgnPL31GaYUaCQUH .node rect,#mermaid-svg-LgnPL31GaYUaCQUH .node circle,#mermaid-svg-LgnPL31GaYUaCQUH .node ellipse,#mermaid-svg-LgnPL31GaYUaCQUH .node polygon,#mermaid-svg-LgnPL31GaYUaCQUH .node path{fill:#ECECFF;stroke:#9370DB;stroke-width:1px;}#mermaid-svg-LgnPL31GaYUaCQUH .rough-node .label text,#mermaid-svg-LgnPL31GaYUaCQUH .node .label text,#mermaid-svg-LgnPL31GaYUaCQUH .image-shape .label,#mermaid-svg-LgnPL31GaYUaCQUH .icon-shape .label{text-anchor:middle;}#mermaid-svg-LgnPL31GaYUaCQUH .node .katex path{fill:#000;stroke:#000;stroke-width:1px;}#mermaid-svg-LgnPL31GaYUaCQUH .rough-node .label,#mermaid-svg-LgnPL31GaYUaCQUH .node .label,#mermaid-svg-LgnPL31GaYUaCQUH .image-shape .label,#mermaid-svg-LgnPL31GaYUaCQUH .icon-shape .label{text-align:center;}#mermaid-svg-LgnPL31GaYUaCQUH .node.clickable{cursor:pointer;}#mermaid-svg-LgnPL31GaYUaCQUH .root .anchor path{fill:#333333!important;stroke-width:0;stroke:#333333;}#mermaid-svg-LgnPL31GaYUaCQUH .arrowheadPath{fill:#333333;}#mermaid-svg-LgnPL31GaYUaCQUH .edgePath .path{stroke:#333333;stroke-width:2.0px;}#mermaid-svg-LgnPL31GaYUaCQUH .flowchart-link{stroke:#333333;fill:none;}#mermaid-svg-LgnPL31GaYUaCQUH .edgeLabel{background-color:rgba(232,232,232, 0.8);text-align:center;}#mermaid-svg-LgnPL31GaYUaCQUH .edgeLabel p{background-color:rgba(232,232,232, 0.8);}#mermaid-svg-LgnPL31GaYUaCQUH .edgeLabel rect{opacity:0.5;background-color:rgba(232,232,232, 0.8);fill:rgba(232,232,232, 0.8);}#mermaid-svg-LgnPL31GaYUaCQUH .labelBkg{background-color:rgba(232, 232, 232, 0.5);}#mermaid-svg-LgnPL31GaYUaCQUH .cluster rect{fill:#ffffde;stroke:#aaaa33;stroke-width:1px;}#mermaid-svg-LgnPL31GaYUaCQUH .cluster text{fill:#333;}#mermaid-svg-LgnPL31GaYUaCQUH .cluster span{color:#333;}#mermaid-svg-LgnPL31GaYUaCQUH div.mermaidTooltip{position:absolute;text-align:center;max-width:200px;padding:2px;font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:12px;background:hsl(80, 100%, 96.2745098039%);border:1px solid #aaaa33;border-radius:2px;pointer-events:none;z-index:100;}#mermaid-svg-LgnPL31GaYUaCQUH .flowchartTitleText{text-anchor:middle;font-size:18px;fill:#333;}#mermaid-svg-LgnPL31GaYUaCQUH rect.text{fill:none;stroke-width:0;}#mermaid-svg-LgnPL31GaYUaCQUH .icon-shape,#mermaid-svg-LgnPL31GaYUaCQUH .image-shape{background-color:rgba(232,232,232, 0.8);text-align:center;}#mermaid-svg-LgnPL31GaYUaCQUH .icon-shape p,#mermaid-svg-LgnPL31GaYUaCQUH .image-shape p{background-color:rgba(232,232,232, 0.8);padding:2px;}#mermaid-svg-LgnPL31GaYUaCQUH .icon-shape .label rect,#mermaid-svg-LgnPL31GaYUaCQUH .image-shape .label rect{opacity:0.5;background-color:rgba(232,232,232, 0.8);fill:rgba(232,232,232, 0.8);}#mermaid-svg-LgnPL31GaYUaCQUH .label-icon{display:inline-block;height:1em;overflow:visible;vertical-align:-0.125em;}#mermaid-svg-LgnPL31GaYUaCQUH .node .label-icon path{fill:currentColor;stroke:revert;stroke-width:revert;}#mermaid-svg-LgnPL31GaYUaCQUH :root{&#8211;mermaid-font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;}<\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/p>\n<p>\u5c3e\u6570\u6ea2\u51fa (\u5982 \u00b11x.xxx)<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/p>\n<p>\u5c3e\u6570\u975e\u89c4\u683c\u5316 (\u5982 \u00b10.0xxx)<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/p>\n<p>\u5df2\u662f \u00b11.xxx<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/p>\n<p>\u9636\u7801\u4e0a\u6ea2<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/p>\n<p>\u9636\u7801\u4e0b\u6ea2<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/p>\n<p>\u9636\u7801\u6b63\u5e38<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u4e24\u6d6e\u70b9\u6570 X \u4e0e Y<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>1. \u5bf9\u9636 (\u5c0f\u9636\u5411\u5927\u9636\u770b\u9f50)<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>2. \u5c3e\u6570\u76f8\u52a0\u51cf<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>3. \u89c4\u683c\u5316\u5224\u5b9a<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u53f3\u89c4: \u5c3e\u6570\u53f3\u79fb1\u4f4d, \u9636\u7801&#043;1<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u5de6\u89c4: \u5c3e\u6570\u5de6\u79fbk\u4f4d, \u9636\u7801-k<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>4. \u820d\u5165\u5904\u7406 (0\u820d1\u5165)<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>5. \u9636\u7801\u6ea2\u51fa\u5224\u65ad<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u629b\u51fa\u6ea2\u51fa\u5f02\u5e38 (Overflow)<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u7f6e\u4e3a\u673a\u5668\u96f6 (Underflow)<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u8f93\u51fa\u8fd0\u7b97\u6700\u7ec8\u6709\u6548\u6d6e\u70b9\u6570<\/p>\n<p><\/span><\/p>\n<h4>\u6838\u5fc3\u8fd0\u7b97\u89c4\u5219\u5256\u6790&#xff1a;<\/h4>\n<li>\u5bf9\u9636&#xff08;Alignment&#xff09;\u2014\u2014\u201c\u5c0f\u9636\u5411\u5927\u9636\u770b\u9f50\u201d&#xff1a;\n<ul>\n<li>\u8ba1\u7b97\u9636\u5dee&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           \u0394<\/p>\n<p>           E<\/p>\n<p>           &#061;<\/p>\n<p>            E<\/p>\n<p>            1<\/p>\n<p>           \u2212<\/p>\n<p>            E<\/p>\n<p>            2<\/p>\n<p>          \\\\Delta E &#061; E_1 &#8211; E_2<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<li>\u4e3a\u4f55\u4e0d\u80fd\u201c\u5927\u9636\u5411\u5c0f\u9636\u770b\u9f50\u201d&#xff1f; \u82e5\u5927\u9636\u5411\u5c0f\u9636\u770b\u9f50&#xff0c;\u5927\u9636\u5bf9\u5e94\u7684\u5c3e\u6570\u5fc5\u987b\u5de6\u79fb&#xff0c;\u5c3e\u6570\u9ad8\u4f4d\u6709\u6548\u4f4d\u5c06\u88ab\u79fb\u51fa\u4e22\u5f03&#xff0c;\u5bfc\u81f4\u6781\u5176\u4e25\u91cd\u7684\u8ba1\u7b97\u7cbe\u5ea6\u707e\u96be&#xff1b;\u800c\u5c0f\u9636\u5411\u5927\u9636\u770b\u9f50\u65f6&#xff0c;\u5c3e\u6570\u53f3\u79fb\u53ea\u4f1a\u635f\u5931\u4f4e\u4f4d\u5fae\u5c0f\u7cbe\u5ea6\u3002<\/li>\n<li>\u7ed3\u8bba&#xff1a;\u5c0f\u9636\u7801\u589e\u52a0 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>            \u0394<\/p>\n<p>            E<\/p>\n<p>           \\\\Delta E<\/p>\n<p>        <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><\/span><\/span><\/span><\/span> \u4f7f\u5176\u7b49\u4e8e\u5927\u9636\u7801&#xff0c;\u540c\u65f6\u5c0f\u9636\u5bf9\u5e94\u7684\u5c3e\u6570\u53f3\u79fb <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            \u0394<\/p>\n<p>            E<\/p>\n<p>           \\\\Delta E<\/p>\n<p>        <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><\/span><\/span><\/span><\/span> \u4f4d\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u89c4\u683c\u5316&#xff08;Normalization&#xff09;&#xff1a;\n<ul>\n<li>\u8fd0\u7b97\u540e\u7684\u5c3e\u6570\u5fc5\u987b\u6ee1\u8db3\u7edd\u5bf9\u503c\u5728 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           [<\/p>\n<p>           1<\/p>\n<p>           ,<\/p>\n<p>           2<\/p>\n<p>           )<\/p>\n<p>          [1, 2)<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u4e4b\u95f4&#xff08;\u5373\u5f62\u5f0f\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           1.<\/p>\n<p>           x<\/p>\n<p>           x<\/p>\n<p>           x<\/p>\n<p>           x<\/p>\n<p>          1.xxxx<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1.<\/span><span class=\"mord mathnormal\">xxxx<\/span><\/span><\/span><\/span><\/span>&#xff09;\u3002<\/li>\n<li>\u53f3\u89c4&#xff1a;\u5c3e\u6570\u6ea2\u51fa\u65f6&#xff08;\u4ea7\u751f\u8fdb\u4f4d&#xff09;&#xff0c;\u5c3e\u6570\u53f3\u79fb 1 \u4f4d&#xff0c;\u9636\u7801\u52a0 1\u3002<\/li>\n<li>\u5de6\u89c4&#xff1a;\u5c3e\u6570\u6700\u9ad8\u6709\u6548\u4f4d\u4e0d\u662f 1 \u65f6&#xff0c;\u5c3e\u6570\u9010\u4f4d\u5de6\u79fb&#xff0c;\u9636\u7801\u9010\u6b21\u51cf 1\u3002<\/li>\n<\/ul>\n<\/li>\n<hr \/>\n<h3>\u56db\u3001 Python \u9a8c\u8bc1\u5b9e\u9a8c&#xff1a;IEEE 754 \u5e95\u5c42\u4e8c\u8fdb\u5236\u4f4d\u4e0e\u8865\u7801\u9006\u5411<\/h3>\n<p>\u6211\u4eec\u901a\u8fc7 Python \u811a\u672c\u76f4\u89c2\u6253\u5370\u6d6e\u70b9\u6570\u7684 32 \u4f4d\u5e95\u5c42\u5185\u5b58\u7ed3\u6784\u4e0e 8 \u4f4d\u8865\u7801\u8fb9\u754c&#xff1a;<\/p>\n<p><span class=\"token keyword\">import<\/span> struct<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">inspect_float32<\/span><span class=\"token punctuation\">(<\/span>val<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">float<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token comment\"># \u5c06 float \u6253\u5305\u4e3a 4 \u5b57\u8282\u5355\u7cbe\u5ea6 IEEE 754 \u4e8c\u8fdb\u5236<\/span><br \/>\n    raw_bytes <span class=\"token operator\">&#061;<\/span> struct<span class=\"token punctuation\">.<\/span>pack<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;&gt;f&#039;<\/span><span class=\"token punctuation\">,<\/span> val<span class=\"token punctuation\">)<\/span><br \/>\n    raw_int <span class=\"token operator\">&#061;<\/span> struct<span class=\"token punctuation\">.<\/span>unpack<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;&gt;I&#039;<\/span><span class=\"token punctuation\">,<\/span> raw_bytes<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    binary_str <span class=\"token operator\">&#061;<\/span> <span class=\"token string-interpolation\"><span class=\"token string\">f&#034;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>raw_int<span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">032b<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><\/p>\n<p>    sign <span class=\"token operator\">&#061;<\/span> binary_str<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    exponent <span class=\"token operator\">&#061;<\/span> binary_str<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">:<\/span><span class=\"token number\">9<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    mantissa <span class=\"token operator\">&#061;<\/span> binary_str<span class=\"token punctuation\">[<\/span><span class=\"token number\">9<\/span><span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">]<\/span><\/p>\n<p>    exp_val <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">(<\/span>exponent<span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    real_exp <span class=\"token operator\">&#061;<\/span> exp_val <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">127<\/span><\/p>\n<p>    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u6570\u503c: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>val<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;  32\u4f4d\u4e8c\u8fdb\u5236: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>sign<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>exponent<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>mantissa<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;  \u7b26\u53f7\u4f4d S&#061;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>sign<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">, \u9636\u7801 E&#061;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>exponent<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">(\u5341\u8fdb\u5236 <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>exp_val<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">, \u771f\u5b9e\u9636\u503c e&#061;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>real_exp<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">)&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;  \u5c3e\u6570 M&#061;1.<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>mantissa<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">8]<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#8230; (Hex: 0x<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>raw_int<span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">08X<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">)\\\\n&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">check_int8_complement<\/span><span class=\"token punctuation\">(<\/span>val<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    comp <span class=\"token operator\">&#061;<\/span> val <span class=\"token operator\">&amp;<\/span> <span class=\"token number\">0xFF<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u5341\u8fdb\u5236 <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>val<span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">&gt;4<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> -&gt; 8\u4f4d\u8865\u7801: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>comp<span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">08b<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> (Hex: 0x<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>comp<span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">02X<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">)&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token keyword\">if<\/span> __name__ <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token string\">&#034;__main__&#034;<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;&#061;&#061;&#061; IEEE 754 \u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\u4e8c\u8fdb\u5236\u62c6\u89e3 &#061;&#061;&#061;&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    inspect_float32<span class=\"token punctuation\">(<\/span><span class=\"token number\">12.5<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    inspect_float32<span class=\"token punctuation\">(<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">0.75<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;&#061;&#061;&#061; 8\u4f4d\u5b9a\u70b9\u6574\u6570\u8865\u7801\u6781\u503c\u8fb9\u754c &#061;&#061;&#061;&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    check_int8_complement<span class=\"token punctuation\">(<\/span><span class=\"token number\">127<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    check_int8_complement<span class=\"token punctuation\">(<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">128<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    check_int8_complement<span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    check_int8_complement<span class=\"token punctuation\">(<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>\u63a7\u5236\u53f0\u5b9e\u6d4b\u8f93\u51fa\u9a8c\u8bc1&#xff1a;<\/p>\n<p>&#061;&#061;&#061; IEEE 754 \u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\u4e8c\u8fdb\u5236\u62c6\u89e3 &#061;&#061;&#061;<br \/>\n\u6570\u503c: 12.5<br \/>\n  32\u4f4d\u4e8c\u8fdb\u5236: 0 10000010 10010000000000000000000<br \/>\n  \u7b26\u53f7\u4f4d S&#061;0, \u9636\u7801 E&#061;10000010(\u5341\u8fdb\u5236 130, \u771f\u5b9e\u9636\u503c e&#061;3)<br \/>\n  \u5c3e\u6570 M&#061;1.10010000&#8230; (Hex: 0x41480000)<\/p>\n<p>\u6570\u503c: -0.75<br \/>\n  32\u4f4d\u4e8c\u8fdb\u5236: 1 01111110 10000000000000000000000<br \/>\n  \u7b26\u53f7\u4f4d S&#061;1, \u9636\u7801 E&#061;01111110(\u5341\u8fdb\u5236 126, \u771f\u5b9e\u9636\u503c e&#061;-1)<br \/>\n  \u5c3e\u6570 M&#061;1.10000000&#8230; (Hex: 0xBF400000)<\/p>\n<p>&#061;&#061;&#061; 8\u4f4d\u5b9a\u70b9\u6574\u6570\u8865\u7801\u6781\u503c\u8fb9\u754c &#061;&#061;&#061;<br \/>\n\u5341\u8fdb\u5236  127 -&gt; 8\u4f4d\u8865\u7801: 01111111 (Hex: 0x7F)<br \/>\n\u5341\u8fdb\u5236 -128 -&gt; 8\u4f4d\u8865\u7801: 10000000 (Hex: 0x80)<br \/>\n\u5341\u8fdb\u5236    0 -&gt; 8\u4f4d\u8865\u7801: 00000000 (Hex: 0x00)<br \/>\n\u5341\u8fdb\u5236   -1 -&gt; 8\u4f4d\u8865\u7801: 11111111 (Hex: 0xFF)<\/p>\n<hr \/>\n<h3>\u4e94\u3001 \u5386\u5e74\u673a\u8003\u771f\u9898\u5207\u7247\u4e0e\u6df1\u5ea6\u89e3\u6790<\/h3>\n<h4>&#x1f4a1; \u771f\u9898\u5207\u7247\u4e00&#xff08;\u8865\u7801\u8868\u793a\u8303\u56f4\u4e0e\u6781\u503c\u5bf9\u5e94&#xff09;<\/h4>\n<p>\u3010\u5b98\u65b9\u771f\u9898\u3011 \u82e5\u8ba1\u7b97\u673a\u5b9a\u70b9\u6574\u6570\u91c7\u7528\u8865\u7801\u8868\u793a&#xff0c;\u673a\u5668\u5b57\u957f\u4e3a 8 \u4f4d&#xff0c;\u5219 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u2212<\/p>\n<p>         128<\/p>\n<p>        -128<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">128<\/span><\/span><\/span><\/span><\/span> \u7684\u5341\u516d\u8fdb\u5236\u8865\u7801\u8868\u793a\u4e3a&#xff08; &#xff09;&#xff0c;\u5176\u80fd\u8868\u793a\u7684\u5b9a\u70b9\u6574\u6570\u8303\u56f4\u4e3a&#xff08; &#xff09;\u3002 A. 80H&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u2212<\/p>\n<p>         127<\/p>\n<p>         \u223c<\/p>\n<p>         127<\/p>\n<p>        -127 \\\\sim 127<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">127<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">127<\/span><\/span><\/span><\/span><\/span> B. 80H&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u2212<\/p>\n<p>         128<\/p>\n<p>         \u223c<\/p>\n<p>         127<\/p>\n<p>        -128 \\\\sim 127<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">128<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">127<\/span><\/span><\/span><\/span><\/span> C. FFH&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u2212<\/p>\n<p>         128<\/p>\n<p>         \u223c<\/p>\n<p>         127<\/p>\n<p>        -128 \\\\sim 127<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">128<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">127<\/span><\/span><\/span><\/span><\/span> D. 81H&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u2212<\/p>\n<p>         128<\/p>\n<p>         \u223c<\/p>\n<p>         128<\/p>\n<p>        -128 \\\\sim 128<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">128<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">128<\/span><\/span><\/span><\/span><\/span><\/p>\n<ul>\n<li>\u89e3\u9898\u63a8\u5bfc&#xff1a;\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           n<\/p>\n<p>           &#061;<\/p>\n<p>           8<\/p>\n<p>          n&#061;8<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">8<\/span><\/span><\/span><\/span><\/span> \u4f4d\u5b9a\u70b9\u8865\u7801\u6574\u6570\u7684\u8868\u793a\u8303\u56f4\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u2212<\/p>\n<p>            2<\/p>\n<p>             8<\/p>\n<p>             \u2212<\/p>\n<p>             1<\/p>\n<p>           \u223c<\/p>\n<p>            2<\/p>\n<p>             8<\/p>\n<p>             \u2212<\/p>\n<p>             1<\/p>\n<p>           \u2212<\/p>\n<p>           1<\/p>\n<p>          -2^{8-1} \\\\sim 2^{8-1}-1<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8974em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">8<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8974em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">8<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4ee3\u5165\u8ba1\u7b97\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u2212<\/p>\n<p>            2<\/p>\n<p>            7<\/p>\n<p>           \u223c<\/p>\n<p>            2<\/p>\n<p>            7<\/p>\n<p>           \u2212<\/p>\n<p>           1<\/p>\n<p>          -2^7 \\\\sim 2^7-1<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8974em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">7<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8974em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">7<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5373 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>            \u2212<\/p>\n<p>            128<\/p>\n<p>            \u223c<\/p>\n<p>            &#043;<\/p>\n<p>            127<\/p>\n<p>           -128 \\\\sim &#043;127<\/p>\n<p>        <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">128<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u223c<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">&#043;<\/span><span class=\"mord\">127<\/span><\/span><\/span><\/span><\/span>\u3002\u6392\u9664 A \u548c D\u3002<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           \u2212<\/p>\n<p>           128<\/p>\n<p>          -128<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">128<\/span><\/span><\/span><\/span><\/span> \u4e3a 8 \u4f4d\u8865\u7801\u80fd\u8868\u793a\u7684\u8d1f\u6570\u7edd\u5bf9\u503c\u6781\u9650&#xff0c;\u5176\u4e8c\u8fdb\u5236\u7f16\u7801\u89c4\u5b9a\u4e3a 10000000B\u3002<\/li>\n<li>\u5c06\u4e8c\u8fdb\u5236 1000 0000 \u8f6c\u5316\u4e3a\u5341\u516d\u8fdb\u5236\u5373\u4e3a 80H\u3002<\/li>\n<\/li>\n<li>\u6b63\u786e\u7b54\u6848&#xff1a;B<\/li>\n<\/ul>\n<hr \/>\n<h4>&#x1f4a1; \u771f\u9898\u5207\u7247\u4e8c&#xff08;\u6d6e\u70b9\u6570\u52a0\u51cf\u5bf9\u9636\u539f\u5219\u4e0e\u5c3e\u6570\u79fb\u4f4d&#xff09;<\/h4>\n<p>\u3010\u5b98\u65b9\u771f\u9898\u3011 \u4e24\u4e2a\u6d6e\u70b9\u6570\u8fdb\u884c\u52a0\u6cd5\u8fd0\u7b97&#xff0c;\u9996\u5148\u5fc5\u987b\u8fdb\u884c\u5bf9\u9636\u64cd\u4f5c\u3002\u5bf9\u9636\u7684\u539f\u5219\u662f&#xff08; &#xff09;&#xff0c;\u5bf9\u9636\u65f6\u5c3e\u6570\u7684\u53d8\u5316\u4e3a&#xff08; &#xff09;\u3002 A. \u5927\u9636\u5411\u5c0f\u9636\u5bf9\u9f50&#xff0c;\u5c3e\u6570\u5de6\u79fb B. \u5927\u9636\u5411\u5c0f\u9636\u5bf9\u9f50&#xff0c;\u5c3e\u6570\u53f3\u79fb C. \u5c0f\u9636\u5411\u5927\u9636\u5bf9\u9f50&#xff0c;\u5c3e\u6570\u5de6\u79fb D. \u5c0f\u9636\u5411\u5927\u9636\u5bf9\u9f50&#xff0c;\u5c3e\u6570\u53f3\u79fb<\/p>\n<ul>\n<li>\u89e3\u9898\u63a8\u5bfc&#xff1a;\n<li>\u6d6e\u70b9\u6570\u52a0\u51cf\u7684\u524d\u63d0\u662f\u9636\u7801\u76f8\u540c&#xff08;\u76f8\u5f53\u4e8e\u5c0f\u5b66\u79d1\u5b66\u8ba1\u6570\u6cd5\u8fd0\u7b97\u4e2d\u7684\u6307\u6570\u76f8\u540c&#xff09;\u3002<\/li>\n<li>\u82e5\u5c06\u5927\u9636\u5411\u5c0f\u9636\u5bf9\u9f50&#xff0c;\u5927\u9636\u7684\u5c3e\u6570\u5fc5\u987b\u5de6\u79fb&#xff08;\u5373\u4e58\u4ee5 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>            2<\/p>\n<p>             \u0394<\/p>\n<p>             E<\/p>\n<p>          2^{\\\\Delta E}<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8413em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u0394<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0576em\">E<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff09;&#xff0c;\u5c3e\u6570\u9ad8\u4f4d\u5c06\u88ab\u79fb\u51fa&#xff0c;\u76f4\u63a5\u7834\u574f\u8be5\u6570\u503c\u7684\u6709\u6548\u6700\u9ad8\u4f4d&#xff0c;\u9020\u6210\u707e\u96be\u6027\u6570\u503c\u7578\u53d8\u3002<\/li>\n<li>\u56e0\u6b64\u56fd\u9645\u6807\u51c6\u4e00\u81f4\u89c4\u5b9a&#xff1a;\u5c0f\u9636\u5411\u5927\u9636\u5bf9\u9f50\u3002\u5c0f\u9636\u589e\u52a0\u9636\u5dee&#xff0c;\u5c3e\u6570\u76f8\u5e94\u53f3\u79fb&#xff08;\u4f4e\u4f4d\u820d\u5f03\u635f\u5931\u5fae\u5c0f\u7cbe\u5ea6&#xff09;\u3002<\/li>\n<\/li>\n<li>\u6b63\u786e\u7b54\u6848&#xff1a;D<\/li>\n<\/ul>\n<hr \/>\n<h4>&#x1f4a1; \u771f\u9898\u5207\u7247\u4e09&#xff08;IEEE 754 \u9636\u7801\u504f\u7f6e\u503c\u4e0e\u89c4\u683c\u5316\u9690\u85cf\u4f4d&#xff09;<\/h4>\n<p>\u3010\u5b98\u65b9\u771f\u9898\u3011 \u91c7\u7528 IEEE 754 \u6807\u51c6\u7684 32 \u4f4d\u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\u683c\u5f0f\u4e2d&#xff0c;\u9636\u7801\u5360 8 \u4f4d&#xff0c;\u91c7\u7528\u79fb\u7801\u8868\u793a&#xff0c;\u5176\u504f\u7f6e\u5e38\u6570&#xff08;Bias&#xff09;\u4e3a&#xff08; &#xff09;&#xff1b;\u82e5\u5c3e\u6570\u5b57\u6bb5\u4e3a\u5168 0&#xff0c;\u5219\u8be5\u89c4\u683c\u5316\u6d6e\u70b9\u6570\u7684\u6709\u6548\u5c3e\u6570\u771f\u503c\u4e3a&#xff08; &#xff09;\u3002 A. 128&#xff0c;0 B. 127&#xff0c;1.0 C. 127&#xff0c;0.0 D. 128&#xff0c;1.0<\/p>\n<ul>\n<li>\u89e3\u9898\u63a8\u5bfc&#xff1a;\n<li>IEEE 754 \u6807\u51c6\u89c4\u5b9a 32 \u4f4d\u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\u7684\u9636\u7801\u504f\u7f6e\u5e38\u6570\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>            2<\/p>\n<p>             8<\/p>\n<p>             \u2212<\/p>\n<p>             1<\/p>\n<p>           \u2212<\/p>\n<p>           1<\/p>\n<p>           &#061;<\/p>\n<p>           127<\/p>\n<p>          2^{8-1}-1 &#061; 127<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8974em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">8<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">127<\/span><\/span><\/span><\/span><\/span>&#xff08;\u6ce8\u610f\u4e0d\u662f 128&#xff09;\u3002<\/li>\n<li>\u89c4\u683c\u5316\u6d6e\u70b9\u6570\u4e3a\u4e86\u5145\u5206\u5229\u7528\u5b58\u50a8\u7a7a\u95f4&#xff0c;\u5728\u5c3e\u6570\u4e2d\u9690\u542b\u4e86\u6700\u9ad8\u6709\u6548\u4f4d 1&#xff08;\u4e0d\u663e\u5f0f\u5360\u7528\u5b58\u50a8\u4f4d&#xff09;\u3002\u5f53\u5c3e\u6570\u5b57\u6bb5 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           M<\/p>\n<p>          M<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><\/span><\/span><\/span><\/span> \u5168\u4e3a 0 \u65f6&#xff0c;\u52a0\u4e0a\u9690\u542b\u4f4d\u540e\u771f\u5b9e\u6709\u6548\u5c3e\u6570\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           1.0<\/p>\n<p>          1.0<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1.0<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<\/li>\n<li>\u6b63\u786e\u7b54\u6848&#xff1a;B<\/li>\n<\/ul>\n<hr \/>\n<h4>\u9644&#xff1a;\u76f8\u5173\u771f\u9898\u4e0e\u590d\u4e60\u8d44\u6599<\/h4>\n<p>\u672c\u6587\u6d89\u53ca\u7684\u539f\u7801\u8865\u7801\u4e0eIEEE754\u4e13\u9879\u5386\u5e74\u771f\u9898\u89e3\u6790\u5df2\u5f52\u6863&#xff0c;\u9700\u8981\u53ef\u81ea\u53d6&#xff1a;<\/p>\n<p>\u767e\u5ea6\u7f51\u76d8: https:\/\/pan.baidu.com\/s\/1SwVEmITKHveCupjP_VH7pA  \u63d0\u53d6\u7801: rk02<br \/>\n\u5907\u7528\u901a\u9053: https:\/\/pan.quark.cn\/s\/bd0eb7dd5673<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8f6f\u8003\u4e2d\u7ea7\u8f6f\u4ef6\u8bbe\u8ba1\u5e08\u9ad8\u9891\u8003\u70b9&#xff1a;\u539f\u7801\u53cd\u7801\u8865\u7801\u79fb\u7801\u8868\u793a\u8303\u56f4\u4e0eIEEE 754\u6d6e\u70b9\u6570\u8fd0\u7b97\u771f\u9898\u8be6\u89e3&#xff08;\u9644\u5386\u5e74\u771f\u9898\u00b7\u767e\u5ea6\u7f51\u76d8&#xff09; &#x1f3af; \u6240\u5c5e\u8003\u7eb2\u6a21\u5757&#xff1a;\u4e13\u9898\u4e00 \u8ba1\u7b97\u673a\u4f53\u7cfb\u7ed3\u6784\u4e0e\u786c\u4ef6\u7cfb\u7edf&#xff08;\u8003\u70b9 01&#xff1a;\u6570\u636e\u7684\u8868\u793a\u4e0e\u6d6e\u70b9\u6570\u8fd0\u7b97&#xff09; &#x1f3f7;\ufe0f \u8003\u67e5\u9898\u578b&#xff1a;\u4e0a\u5348\u7efc\u5408\u77e5\u8bc6\u5355\u9009\u9898&#xff08;\u6bcf\u5e74\u7b2c 1~3 \u9898\u5fc5\u8003&#xff0c;\u5206\u503c 2~3 \u5206&#xff09; &amp;#x1f<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[55,174,123,1813,383],"topic":[],"class_list":["post-122738","post","type-post","status-publish","format-standard","hentry","category-server","tag-c","tag-123","tag-1813","tag-383"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u8f6f\u8003\u4e2d\u7ea7\u8f6f\u4ef6\u8bbe\u8ba1\u5e08\u9ad8\u9891\u8003\u70b9\uff1a\u539f\u7801\u53cd\u7801\u8865\u7801\u79fb\u7801\u8868\u793a\u8303\u56f4\u4e0eIEEE 754\u6d6e\u70b9\u6570\u8fd0\u7b97\u771f\u9898\u8be6\u89e3\uff08\u9644\u5386\u5e74\u771f\u9898\u00b7\u767e\u5ea6\u7f51\u76d8\uff09 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" 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