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      <a href="/2021/10/08/RippleCarryAdder/">
        <p class="h4 index-header">串行进位加法器设计/Ripple-Carry Adder</p>
        
        
        <div class="index-excerpt" >
          <div class="index-text mb-1">串行进位加法器设计/Ripple-Carry Adder
串行/行波进位 &amp; 串行/行波进位加法器
回顾一位 FA （全加器）的设计，不难看到 FA 同时考虑了前一位的进位Ci−1C_{i - 1}Ci−1​和本位计算结果产生的进位CiC_{i}Ci​。
容易联想到将前一位产生的进位C(out)i−1C_{(out)_{i - 1}}C(out)i−1​​输出到下一个 FA 的C(in)iC_{(in)_{i}}C(in)i​​，串行地联系每位间的进位关系，电路如图1.1图1.1图1.1所示


(图1.1)\begin{gathered}
    (图1.1)
\end{gathered}(图1.1)​
第i(i≥1)i(i \ge 1)i(i≥1)位 FA 的C(in)C_{(in)}C(in)​通过从第i−1i - 1i−1个 FA 的CoutC_{out}Cout​获得进位的方式，叫做串行/行波进位，像这样得到加法器叫串行进位加法器，或者叫行波进位加法器(RCA)。串行连接4个 FA 可以组成一个4位加法器，可以进行两个4位二进制数的加法运算。电路如图1.2图1.2图1</div>
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      </a>

      <div>
        
          <i class="iconfont icon-riqi2"></i>&nbsp;2021-10-08&nbsp;&nbsp;
        
        
          <i class="iconfont icon-tag"></i>
          
            <a href="/tags/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E5%8E%9F%E7%90%86">计算机组成原理</a>&nbsp;
          
            <a href="/tags/%E6%95%B0%E5%AD%97%E7%94%B5%E8%B7%AF">数字电路</a>&nbsp;
          
            <a href="/tags/CPU">CPU</a>&nbsp;
          
            <a href="/tags/%E9%80%BB%E8%BE%91%E9%97%A8%E7%94%B5%E8%B7%AF">逻辑门电路</a>&nbsp;
          
            <a href="/tags/%E5%8A%A0%E6%B3%95%E5%99%A8">加法器</a>&nbsp;
          
            <a href="/tags/%E5%85%A8%E5%8A%A0%E5%99%A8">全加器</a>&nbsp;
          
            <a href="/tags/%E4%B8%B2%E8%A1%8C%E8%BF%9B%E4%BD%8D">串行进位</a>&nbsp;
          
            <a href="/tags/%E8%A1%8C%E6%B3%A2%E8%BF%9B%E4%BD%8D">行波进位</a>&nbsp;
          
            <a href="/tags/%E4%B8%B2%E8%A1%8C%E8%BF%9B%E4%BD%8D%E5%8A%A0%E6%B3%95%E5%99%A8">串行进位加法器</a>&nbsp;
          
            <a href="/tags/Ripple%20Carry%20Adder">Ripple Carry Adder</a>&nbsp;
          
        
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      <a href="/2021/10/08/FullAdder/">
        <p class="h4 index-header">全加器/(1 bit)Full Adder</p>
        
        
        <div class="index-excerpt" >
          <div class="index-text mb-1">全加器/(1 bit)Full Adder
1. 全加器定义
全加器（FA）是能够计算低位进位的二进制逻辑电路元件
2. 全加器真值表及逻辑表达式


AiA_{i}Ai​
BiB_{i}Bi​
Ci−1C_{i-1}Ci−1​(Carry)
SiS_{i}Si​(Sum)
CiC_{i}Ci​


0
0
0
0
0


0
0
1
1
0


0
1
0
1
0


0
1
1
0
1


1
0
0
1
0


1
0
1
0
1


1
1
0
0
1


1
1
1
1
1


逻辑表达式：
Si=Ai⨁Bi⨁Ci−1\begin{aligned}
    S_{i} = A_{i} \bigoplus B_{i} \bigoplus C_{i-1}
\end{aligned}Si​=Ai​⨁Bi​⨁Ci−1​​
Ci=Ai⋅Bi+Ci−1⋅(Ai+Bi)\begin{aligned}
    C_{i} = A_{i} \cdot B_{i} + C_{i-1} \cdot (A_{i} + B_{i})
\end{aligned}Ci​=Ai​⋅Bi​+Ci−1​</div>
        </div>
      </a>

      <div>
        
          <i class="iconfont icon-riqi2"></i>&nbsp;2021-10-08&nbsp;&nbsp;
        
        
          <i class="iconfont icon-tag"></i>
          
            <a href="/tags/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E5%8E%9F%E7%90%86">计算机组成原理</a>&nbsp;
          
            <a href="/tags/%E6%95%B0%E5%AD%97%E7%94%B5%E8%B7%AF">数字电路</a>&nbsp;
          
            <a href="/tags/CPU">CPU</a>&nbsp;
          
            <a href="/tags/%E9%80%BB%E8%BE%91%E9%97%A8%E7%94%B5%E8%B7%AF">逻辑门电路</a>&nbsp;
          
            <a href="/tags/%E5%8A%A0%E6%B3%95%E5%99%A8">加法器</a>&nbsp;
          
            <a href="/tags/%E5%85%A8%E5%8A%A0%E5%99%A8">全加器</a>&nbsp;
          
            <a href="/tags/Full%20Adder">Full Adder</a>&nbsp;
          
        
      </div>
    </div>
  </div>

  <div class="row mb-4 mx-auto">
    
    
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      <a href="/2021/10/08/HalfAdder/">
        <p class="h4 index-header">半加器/(1 bit)Half Adder</p>
        
        
        <div class="index-excerpt" >
          <div class="index-text mb-1">半加器/(1 bit)Half Adder
1. 半加器定义
半加器是指对两个输入数据位相加，输出一个结果位和进位，没有进位输入的加法器。 是实现两个一位二进制数的加法运算电路。
2. 半加器真值表及逻辑表达式


A
B
S(Sum)
C(Carry)


0
0
0
0


0
1
1
0


1
0
1
0


1
1
0
1


其中A、B为输入 , S、C为输出
联系A、B、S可以看出(A异或B)
S=A⨁B=A‾B+AB‾\begin{aligned}
    S = A \bigoplus B =\overline{A}B + A\overline{B}
\end{aligned}S=A⨁B=AB+AB​
联系A、B、C可以看出(A与B)
C=A×B\begin{aligned}
    C = A \times B
\end{aligned}C=A×B​
3. 逻辑电路示意图


</div>
        </div>
      </a>

      <div>
        
          <i class="iconfont icon-riqi2"></i>&nbsp;2021-10-08&nbsp;&nbsp;
        
        
          <i class="iconfont icon-tag"></i>
          
            <a href="/tags/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E5%8E%9F%E7%90%86">计算机组成原理</a>&nbsp;
          
            <a href="/tags/%E6%95%B0%E5%AD%97%E7%94%B5%E8%B7%AF">数字电路</a>&nbsp;
          
            <a href="/tags/CPU">CPU</a>&nbsp;
          
            <a href="/tags/%E9%80%BB%E8%BE%91%E9%97%A8%E7%94%B5%E8%B7%AF">逻辑门电路</a>&nbsp;
          
            <a href="/tags/%E5%8A%A0%E6%B3%95%E5%99%A8">加法器</a>&nbsp;
          
            <a href="/tags/%E5%8D%8A%E5%8A%A0%E5%99%A8">半加器</a>&nbsp;
          
            <a href="/tags/Half%20Adder">Half Adder</a>&nbsp;
          
        
      </div>
    </div>
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      <a href="/2021/10/08/LogicGateCircuit/">
        <p class="h4 index-header">LogicGateCircuit</p>
        
        
        <div class="index-excerpt" >
          <div class="index-text mb-1">逻辑门电路/LGC
基础逻辑电路:与门、或门、非门


与门/AND

与门真值表


A
B
S


0
0
0


0
1
0


1
0
0


1
1
1


与门逻辑电路示意图


或门/OR

或门真值表


A
B
S


0
0
0


0
1
1


1
0
1


1
1
1


或门逻辑电路示意图


非门/NOT

非门真值表


A
S


1
0


0
1


非门逻辑电路示意图


其他常见(逻辑)门电路


与非门

与非门真值表


A
B
S


0
0
1


0
1
1


1
0
1


1
1
0


与非门逻辑表达式S=A⋅B‾=A‾+B‾\begin{aligned}
    S = \overline{A\cdot B} = \overline{A} + \overline{B}
\end{aligned}S=A⋅B=A+B​

与非门逻辑电路示意图


OR\begin{aligned}
            OR
        \end{aligned}OR</div>
        </div>
      </a>

      <div>
        
          <i class="iconfont icon-riqi2"></i>&nbsp;2021-10-08&nbsp;&nbsp;
        
        
          <i class="iconfont icon-tag"></i>
          
            <a href="/tags/%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%BB%84%E6%88%90%E5%8E%9F%E7%90%86">计算机组成原理</a>&nbsp;
          
            <a href="/tags/%E6%95%B0%E5%AD%97%E7%94%B5%E8%B7%AF">数字电路</a>&nbsp;
          
            <a href="/tags/CPU">CPU</a>&nbsp;
          
            <a href="/tags/%E9%80%BB%E8%BE%91%E9%97%A8%E7%94%B5%E8%B7%AF">逻辑门电路</a>&nbsp;
          
        
      </div>
    </div>
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      <a href="/2019/12/29/Windows%E4%B8%8BHexo%E4%B8%AA%E4%BA%BA%E9%9D%99%E6%80%81%E5%8D%9A%E5%AE%A2%E5%BB%BA%E7%AB%8B%EF%BC%88GitHubPages%EF%BC%89/">
        <p class="h4 index-header">Windows下Hexo个人静态博客建立（GitHubPages）</p>
        
        
        <div class="index-excerpt" >
          <div class="index-text mb-1">Windows 下 Hexo 个人静态博客建立（GitHub Pages）
特别感谢B站up：CodeSheep
注：转载请注明出处
1. 准备工作
1.1 Node.js
https://nodejs.org
下载对应版本，默认安装即可
1.2 Git
https://git-scm.com/downloads
下载对应版本，默认安装即可
tips：这里主要用到 Git Bush 充当 Linux 下终端的作用以及 push 到 GitHub
可能遇到的问题及解决方法
1.2.1 如果使用cmd管理员执行 git 命令时遇到  “非内外部命令或可执行程序”   的错误提示

找到git安装路径中bin的位置和git安装路径中git-core的位置，并将路径复制到系统变量的path中保存并退出，最好重启计算机。

1.3 在任意路径下创建一个独立文件夹
2. 安装 Hexo 并在本地部署
2.1 在此文件夹下右键选择 Git Bush Here

  
或者打开 Git Bush ，cd 到该文件夹下

  
2.2 检查 node 和 npm 的安装
分别输入no</div>
        </div>
      </a>

      <div>
        
          <i class="iconfont icon-riqi2"></i>&nbsp;2019-12-29&nbsp;&nbsp;
        
        
          <i class="iconfont icon-tag"></i>
          
            <a href="/tags/Windows">Windows</a>&nbsp;
          
            <a href="/tags/Hexo">Hexo</a>&nbsp;
          
            <a href="/tags/GitHub">GitHub</a>&nbsp;
          
            <a href="/tags/Git">Git</a>&nbsp;
          
            <a href="/tags/node-js">node.js</a>&nbsp;
          
            <a href="/tags/npm">npm</a>&nbsp;
          
            <a href="/tags/CodeSheep">CodeSheep</a>&nbsp;
          
            <a href="/tags/Blog">Blog</a>&nbsp;
          
            <a href="/tags/%E5%8D%9A%E5%AE%A2">博客</a>&nbsp;
          
        
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      <a href="/2019/12/29/Markdown%E5%9F%BA%E7%A1%80%E8%AF%AD%E6%B3%95/">
        <p class="h4 index-header">Markdown基础语法</p>
        
        
        <div class="index-excerpt" >
          <div class="index-text mb-1">Markdown基础语法

字体样式
1. 一级标题
Markup1:

# 一级标题 #

or Markup2:

一级标题
==


注意：
1.Markup1中右 “#” 可以省略，同时注意左 “#” 后要至少输入一个空格之后再输入标题
效果如下：

  
一级标题


2. 二级及多级标题
Markup1:

## 二级标题 ##

or Markup2:

二级标题
--

注意：
1.Markup1中，右 “#” 可以省略，同时注意左 “#” 后要至少输入一个空格之后再输入标题
2.以此类推，### 三级标题 ###，#### 四级标题 ####，##### 五级标题 #####，###### 六级标题 ######，最多到六级标题。
效果如下：

  
二级标题
三级标题
四级标题
五级标题
六级标题


3. 斜体
Markup1:

*斜体*

or Markup2:

_斜体_


注意：
1.星号或下划线中间不用输入空格隔开
效果如下：

  
斜体
  

4. 粗体
Markup1:

**粗体**

or Markup2:

__粗体__


注意：
1.</div>
        </div>
      </a>

      <div>
        
          <i class="iconfont icon-riqi2"></i>&nbsp;2019-12-29&nbsp;&nbsp;
        
        
          <i class="iconfont icon-tag"></i>
          
            <a href="/tags/Markdown">Markdown</a>&nbsp;
          
            <a href="/tags/%E8%AF%AD%E6%B3%95">语法</a>&nbsp;
          
        
      </div>
    </div>
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