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Aurorxa
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<span class="line"><span>.idea</span></span>
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<span class="line"><span>build</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br></div></div><h2 id="_7-6-演示" tabindex="-1">7.6 演示 <a class="header-anchor" href="#_7-6-演示" aria-label="Permalink to "7.6 演示""></a></h2><ul><li>我们可以在项目中，临时创建或复制一个文件，看上述配置是否生效，即：</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>如果是复制并粘贴一个文件到项目中，请点击<code>重新加载 CMake 项目</code>！！！</p></div><p><img src="/c/assets/158.C1t2T6FV.gif" alt=""></p><h1 id="第八章-c-语言的编译过程-⭐" tabindex="-1">第八章：C 语言的编译过程（⭐） <a class="header-anchor" href="#第八章-c-语言的编译过程-⭐" aria-label="Permalink to "第八章：C 语言的编译过程（⭐）""></a></h1><h2 id="_8-1-概述" tabindex="-1">8.1 概述 <a class="header-anchor" href="#_8-1-概述" aria-label="Permalink to "8.1 概述""></a></h2><ul><li>C 程序的编译过程，如下所示：</li></ul><p><img src="/c/assets/159.Rqa4uHq6.png" alt=""></p><ul><li>过程 ① ：编写（编辑）源代码，即：编写 C 语言源程序代码，并以文件的形式存储在磁盘中。</li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p>源程序需要以 <code>.c</code> 作为扩展名。</p></div><ul><li>过程 ② ：编译，即：将 C 语言源程序转换为<code>目标程序（或目标文件）</code>。如果程序没有错误，没有任何提示，就会生成一个扩展名为 <code>.obj</code>或 <code>.o</code> 的二进制文件。C 语言中的每条可执行语句经过编译之后，最终都会转换为二进制的机器指令。</li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><ul><li><p>① 其实，<code>编译阶段</code>包含了<code>预处理</code>、<code>编译</code>和<code>汇编</code>。</p></li><li><p>② <code>预处理</code>是编译过程的第一个阶段。在这个阶段，预处理器处理源代码中的指令（例如：<code>#include</code>、<code>#define</code>等），主要任务包括：</p><ul><li><p><strong>头文件包含</strong>：将头文件的内容插入到源文件中。例如：<code>#include <stdio.h></code>会被替换为<code>stdio.h</code>文件的内容。</p></li><li><p><strong>宏展开</strong>：替换宏定义。例如：<code>#define PI 3.14</code>会将代码中的<code>PI</code>替换为<code>3.14</code>。</p></li><li><p><strong>条件编译</strong>：根据条件指令（如：<code>#ifdef</code>、<code>#ifndef</code>）有选择地编译代码。</p></li><li><p><strong>删除代码中的注释，但是不会进行语法检查</strong>。</p></li><li><p>预处理完成后，生成一个扩展名为<code>.i</code>的中间文件。</p></li></ul></li><li><p>③ <code>编译</code>是将预处理后的源代码转换为汇编代码的过程。在这个阶段，编译器会检查代码的语法和语义，将其转换为目标机器的汇编语言，生成一个扩展名为<code>.s</code>的汇编文件。</p></li><li><p>④ <code>汇编</code>是将汇编代码转换为机器代码（也称为目标代码或目标文件）的过程。在这个阶段，汇编器将汇编指令转换为二进制机器指令，生成一个扩展名为<code>.o</code>或 <code>.obj</code>的目标文件。</p></li></ul></div><ul><li>过程 ③ ：链接（连接），即：将编译形成的目标文件 <code>*.obj</code> 或 <code>*.o</code>和库函数以及其他目录文件<code>链接</code>，形成一个统一的二进制文件 <code>*.exe</code>。</li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><ul><li>为什么需要链接库文件？</li><li>因为我们的 C 程序会使用 C 程序库中的内容，如：<code><stdio.h></code> 中的 <code>printf()</code> 函数，这些函数不是程序员自己写的，而是 C 程序库中提供的，因此需要链接。其实，在链接过程中，还会加入启动代码，这个启动代码（和系统相关，Linux 下主要有 crt0.c、crti.c 等，它们设置堆栈后，再调用 main() 函数）负责初始化程序运行时的环境。</li></ul></div><ul><li>过程 ④ ：执行，即：有了可执行的 <code>*.exe</code>文件，我们就可以在控制台上执行运行此 <code>*.exe</code> 文件。</li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p>如果<code>修改</code>了源代码，还需要重新<code>编译</code>、<code>链接</code>，并生成新的 <code>*.exe</code>文件，再执行，方能生效。</p></div><h2 id="_8-2-gcc-编译器的介绍" tabindex="-1">8.2 GCC 编译器的介绍 <a class="header-anchor" href="#_8-2-gcc-编译器的介绍" aria-label="Permalink to "8.2 GCC 编译器的介绍""></a></h2><ul><li>编辑器，如：vim 、vscode 等，是指我们用它来编写源程序的（编辑代码），而我们写的代码语句，电脑是不懂的，我们需要把它转成电脑能懂的语句，编译器就是这样的转化工具。换言之，我们用编辑器编写程序，由编译器编译后才可以运行！</li><li>编译器是将易于编写、阅读和维护的高级计算机语言翻译为计算机能解读、运行的低级机器语言的程序。</li><li>gcc（GNU Compiler Collection，GNU 编译器套件），是由 GNU 开发的编程语言编译器。gcc 原本作为 GNU 操作系统的官方编译器，现已被大多数类 Unix 操作系统（如：Linux、BSD、Mac OS X 等）采纳为标准的编译器，gcc 同样适用于微软的 Windows 。</li><li>gcc 最初用于编译 C 语言，随着项目的发展， gcc 已经成为了能够编译 C、C++、Java、Ada、fortran、Object C、Object C++、Go 语言的编译器大家族。</li></ul><h2 id="_8-3-通过-gcc-直接生成可执行文件" tabindex="-1">8.3 通过 gcc 直接生成可执行文件 <a class="header-anchor" href="#_8-3-通过-gcc-直接生成可执行文件" aria-label="Permalink to "8.3 通过 gcc 直接生成可执行文件""></a></h2><ul><li>示例：进行预处理、编译、汇编和链接</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.c</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.exe</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/160.6yQYnjOa.gif" alt=""></p><h2 id="_8-4-通过-gcc-分步编译" tabindex="-1">8.4 通过 gcc 分步编译 <a class="header-anchor" href="#_8-4-通过-gcc-分步编译" aria-label="Permalink to "8.4 通过 gcc 分步编译""></a></h2><h3 id="_8-3-1-概述" tabindex="-1">8.3.1 概述 <a class="header-anchor" href="#_8-3-1-概述" aria-label="Permalink to "8.3.1 概述""></a></h3><ul><li>预处理命令：</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -E</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.c</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.i</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> # 通常以 .i 结尾表示这个文件是一个中间状态</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><ul><li>编译（预处理和编译）命令：</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -S</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.i</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.s</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> # 在 Linux 中，通常以 .s 结尾；在 Windows 中，通常以 .asm 结尾</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><ul><li>汇编（预处理、编译和汇编）命令：</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -c</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.s</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.o</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> # 在 Linux 中，通常以 .o 结尾；在 Windows 中，通常以 .obj 结尾</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><ul><li>链接（预处理、编译、汇编和链接）命令：</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.o</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.exe</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> # 在 Linux 中，通常以 .out 结尾；在 Windows 中，通常以 .exe 结尾</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><h3 id="_8-4-2-应用示例" tabindex="-1">8.4.2 应用示例 <a class="header-anchor" href="#_8-4-2-应用示例" aria-label="Permalink to "8.4.2 应用示例""></a></h3><ul><li>示例：只进行预处理</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -E</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.c</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.i</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/161.hYR9GiiD.gif" alt=""></p><ul><li>示例：只进行预处理和编译</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -S</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.i</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.s</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/162.D3b-QIrA.gif" alt=""></p><ul><li>示例：只进行预处理、编译和汇编</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -c</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.s</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.o</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/163.DGbA6qsW.gif" alt=""></p><ul><li>示例：进行预处理、编译、汇编和链接</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.o</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.exe</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/164.BToOkxf2.gif" 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<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
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<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br></div></div><h2 id="_3-3-进制的转换" tabindex="-1">3.3 进制的转换 <a class="header-anchor" href="#_3-3-进制的转换" aria-label="Permalink to "3.3 进制的转换""></a></h2><h3 id="_3-3-1-概述" tabindex="-1">3.3.1 概述 <a class="header-anchor" href="#_3-3-1-概述" aria-label="Permalink to "3.3.1 概述""></a></h3><ul><li>不同进制的转换，如下所示：</li></ul><p><img src="/c/assets/9.uqLiL_yu.png" alt=""></p><ul><li>在计算机中，数据是从右往左的方式排列的；其中，最右边的是低位，最左边的是高位，即：</li></ul><p><img src="/c/assets/10.CkykpHY2.png" alt=""></p><h3 id="_3-3-2-二进制和十进制的转换" tabindex="-1">3.3.2 二进制和十进制的转换 <a class="header-anchor" href="#_3-3-2-二进制和十进制的转换" aria-label="Permalink to "3.3.2 二进制和十进制的转换""></a></h3><h4 id="_3-3-2-1-二进制转换为十进制" tabindex="-1">3.3.2.1 二进制转换为十进制 <a class="header-anchor" href="#_3-3-2-1-二进制转换为十进制" aria-label="Permalink to "3.3.2.1 二进制转换为十进制""></a></h4><ul><li>规则：从最低位开始，将每个位上的数提取出来，乘以 2 的 （位数 - 1 ）次方，然后求和。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 在学术界，将这种计算规则，称为<code>位权相加法</code>。</li><li>② <code>八进制转换为十进制</code>、<code>十六进制转换为十进制</code>和<code>二进制转换为十进制</code>的算法相同！！！</li></ul></div><ul><li>示例：十进制转十进制</li></ul><p><img src="/c/assets/11.DV1YbrOP.png" alt=""></p><ul><li>示例：二进制转十进制</li></ul><p><img src="/c/assets/12.AHNJT9TV.png" alt=""></p><h4 id="_3-3-2-2-十进制转换二进制" tabindex="-1">3.3.2.2 十进制转换二进制 <a class="header-anchor" href="#_3-3-2-2-十进制转换二进制" aria-label="Permalink to "3.3.2.2 十进制转换二进制""></a></h4><ul><li>规则：将该数不断除以 2 ，直到商为 0 为止，然后将每步得到的余数倒过来，就是对应的二进制。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 在学术界，将这种计算规则，称为<code>短除法</code>或<code>连续除2取余法</code>。</li><li>② 很好理解，只有不断地除以 2 ，就能保证最大的数字不超过 2 ，这不就是二进制（只能有 0 或 1）吗？</li><li>③ <code>八进制转换为二进制</code>、<code>十六进制转换为二进制</code>和<code>十进制转换为二进制</code>的算法相同！！！</li></ul></div><ul><li>示例：十进制转十进制</li></ul><p><img src="/c/assets/13.Bs-MOwx2.png" alt=""></p><ul><li>示例：十进制转二进制</li></ul><p><img src="/c/assets/14.StzjmBz-.png" alt=""></p><h3 id="_3-3-3-二进制转八进制" tabindex="-1">3.3.3 二进制转八进制 <a class="header-anchor" href="#_3-3-3-二进制转八进制" aria-label="Permalink to "3.3.3 二进制转八进制""></a></h3><ul><li><p>规则：每 3 位二进制就是一个八进制。</p></li><li><p>示例：011 101 001 -> 351</p></li></ul><p><img src="/c/assets/15.C0wVWaxD.png" alt=""></p><h3 id="_3-3-4-二进制转十六进制" tabindex="-1">3.3.4 二进制转十六进制 <a class="header-anchor" href="#_3-3-4-二进制转十六进制" aria-label="Permalink to "3.3.4 二进制转十六进制""></a></h3><ul><li><p>规则：每 4 位二进制就是一个八进制。</p></li><li><p>示例：1110 1001 -> 0xE9</p></li></ul><p><img src="/c/assets/16.LXJMAihe.png" alt=""></p><h2 id="_3-4-原码、反码和补码" tabindex="-1">3.4 原码、反码和补码 <a class="header-anchor" href="#_3-4-原码、反码和补码" aria-label="Permalink to "3.4 原码、反码和补码""></a></h2><h3 id="_3-4-1-概述" tabindex="-1">3.4.1 概述 <a class="header-anchor" href="#_3-4-1-概述" aria-label="Permalink to "3.4.1 概述""></a></h3><ul><li>机器数：一个数在计算机的存储形式是二进制，我们称这些二进制数为机器数。机器数可以是有符号的，用机器数的最高位来存放符号位，0 表示正数，1 表示负数。</li></ul><p><img src="/c/assets/17._UTCq3PD.png" alt=""></p><ul><li>真值：因为机器数带有符号位，所以机器数的形式值不等于其真实表示的值（真值），以机器数 1000 0001 为例，其真正表示的值（首位是符号位）为 -1，而形式值却是 129 ，因此将带有符号位的机器数的真正表示的值称为机器数的真值。</li></ul><p><img src="/c/assets/18.BjQ5kBL-.png" alt=""></p><h3 id="_3-4-2-原码" tabindex="-1">3.4.2 原码 <a class="header-anchor" href="#_3-4-2-原码" aria-label="Permalink to "3.4.2 原码""></a></h3><ul><li>原码的表示与机器数真值表示的一样，即用第一位表示符号，其余位表示数值。</li><li>规则： <ul><li>正数的<code>原码</code>是它本身对应的二进制数，符号位是 0 。</li><li>负数的<code>原码</code>是它本身绝对值对应的二进制数，但是符号位是 1 。</li></ul></li><li>+1 的原码，使用 8 位二进数来表示，就是：</li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th></tr></thead><tbody><tr><td>+1</td><td><code>0</code>000 0001</td></tr></tbody></table><ul><li>-1 的原码，使用 8 位二进数来表示，就是：</li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th></tr></thead><tbody><tr><td>-1</td><td><code>1</code>000 0001</td></tr></tbody></table><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p>按照原码的规则，会出现 <code>+0</code> 和 <code>-0</code> 的情况，即：<code>0</code>000 0000（+0）、<code>1</code>000 0000（-0），显然不符合实际情况；所以，计算机底层虽然存储和计算的都是二进数，但显然不是原码。</p></div><h3 id="_3-4-3-反码" tabindex="-1">3.4.3 反码 <a class="header-anchor" href="#_3-4-3-反码" aria-label="Permalink to "3.4.3 反码""></a></h3><ul><li><p>规则：</p><ul><li>正数的反码和它的原码相同。</li><li>负数的反码是在其原码的基础上，符号位不变，其余各位取反。</li></ul></li><li><p>+1 的反码，使用 8 位二进数来表示，就是：</p></li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th><th>反码（8位二进制数）</th></tr></thead><tbody><tr><td>+1</td><td><code>0</code>000 0001</td><td><code>0</code>000 0001</td></tr></tbody></table><ul><li>-1 的反码，使用 8 位二进数来表示，就是：</li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th><th>反码（8位二进制数）</th></tr></thead><tbody><tr><td>-1</td><td><code>1</code>000 0001</td><td><code>1</code>111 1110</td></tr></tbody></table><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p>按照反码的规则，如果是 <code>+0</code>，对应的原码是 <code>0</code>000 0000；那么，其反码还是 <code>0</code>000 0000 ；如果是 <code>-0</code>，对应的原码是 <code>1</code>000 0000，其反码是 <code>1</code>111 1111，显然不符合实际情况；所以，计算机底层虽然存储和计算的都是二进数，但显然不是反码。</p></div><h3 id="_3-4-4-补码" tabindex="-1">3.4.4 补码 <a class="header-anchor" href="#_3-4-4-补码" aria-label="Permalink to "3.4.4 补码""></a></h3><ul><li><p>规则：</p><ul><li>正数的补码和它的原码相同。</li><li>负数的补码是在其反码的基础上 + 1 。</li></ul></li><li><p>+1 的补码，使用 8 位二进数来表示，就是：</p></li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th><th>反码（8位二进制数）</th><th>补码（8位二进制数）</th></tr></thead><tbody><tr><td>+1</td><td><code>0</code>000 0001</td><td><code>0</code>000 0001</td><td><code>0</code>000 0001</td></tr></tbody></table><ul><li>-1 的补码，使用 8 位二进数来表示，就是：</li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th><th>反码（8位二进制数）</th><th>补码（8位二进制数）</th></tr></thead><tbody><tr><td>-1</td><td><code>1</code>000 0001</td><td><code>1</code>111 1110</td><td><code>1</code>111 1111</td></tr></tbody></table><ul><li>如果 0 ，按照 <code>+0</code> 的情况进行处理，即：</li></ul><p><img src="/c/assets/19.COIOzcmT.png" alt=""></p><ul><li>如果 0 ，按照 <code>-0</code> 的情况进行处理，即：</li></ul><p><img src="/c/assets/20.Cu__mjav.png" alt=""></p><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><ul><li>① 补码表示法解决了<code>原码</code>和<code>反码</code>存在的<code>两种</code>零（<code>+0</code> 和 <code>-0</code>）的问题，即：在补码表示法中，只有<code>一个</code>零，即 0000 0000。</li><li>② 补码使得<code>加法运算</code>和<code>减法运算</code>可以统一处理，通过将减法运算<code>转换</code>为加法运算，可以简化硬件设计，提高了运算效率。</li><li>③ 计算机底层<code>存储</code>和<code>计算</code>的都是<code>二进数的补码</code>。</li></ul></div><h3 id="_3-4-5-总结" tabindex="-1">3.4.5 总结 <a class="header-anchor" href="#_3-4-5-总结" aria-label="Permalink to "3.4.5 总结""></a></h3><ul><li>① 正数的原码、反码和补码都是一样的，三码合一。</li><li>② 负数的反码是在其原码的基础上，按位取反（0 变 1 ，1 变 0 ），符号位不变；负数的补码是其反码 + 1 。</li><li>③ 0 的补码是 0 。</li></ul><h2 id="_3-5-计算机底层为什么使用补码" tabindex="-1">3.5 计算机底层为什么使用补码？ <a class="header-anchor" href="#_3-5-计算机底层为什么使用补码" aria-label="Permalink to "3.5 计算机底层为什么使用补码？""></a></h2><ul><li>如果计算是 <code>2 - 2</code> ，那么可以转换为 <code>2 + (-2)</code>，这样计算机内部在处理<code>减法计算</code>的时候，就会将其转换为<code>加法计算</code>的形式，以简化硬件设计和提高计算效率。</li><li><code>最高位</code>表示<code>符号位</code>，由于符号位的存在，如果使用<code>原码</code>来计算，就会导致<code>计算结果不正确</code>，即：</li></ul><p><img src="/c/assets/21.BX_KzkHt.png" alt=""></p><ul><li><code>补码</code>的设计可以巧妙的让<code>符号位</code>也参与计算，并且可以得到<code>正确的计算结果</code>，即：</li></ul><p><img src="/c/assets/22.COt_QxSP.png" alt=""></p></div></div></main><footer class="VPDocFooter" data-v-39a288b8 data-v-d4a0bba5><!--[--><!--]--><div class="edit-info" data-v-d4a0bba5><!----><div class="last-updated" data-v-d4a0bba5><p class="VPLastUpdated" data-v-d4a0bba5 data-v-7e05ebdb>上次更新: <time datetime="2024-07-11T08:05:05.000Z" data-v-7e05ebdb></time></p></div></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-d4a0bba5><span class="visually-hidden" id="doc-footer-aria-label" data-v-d4a0bba5>Pager</span><div class="pager" data-v-d4a0bba5><a class="VPLink link pager-link prev" href="/c/notes/01_c-basic/01_xdx/" 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