一、进制
3.BCD码
javascript
\documentclass{article}
\usepackage{ctex}
\usepackage{geometry} % 设置页边距
\geometry{a4paper, margin=1cm}
\usepackage{xcolor} % 颜色支持
\usepackage{booktabs} % 高质量表格横线 (toprule, midrule, bottomrule)
\usepackage{makecell} % 表头单元格内换行
\begin{document}
\begin{table}[htbp]
\centering
\caption{几种常见的BCD代码}
\label{tab:bcd_codes}
\begin{tabular}{c|ccccc}
\toprule
\textbf{十进制数} & \multicolumn{5}{c}{\textbf{几种常见的BCD代码}} \\
\midrule
& \textbf{8421码} & \textbf{余3码} & \textbf{2421(A)码} & \textbf{5211码} & \textbf{余3循环码} \\
\midrule
0 & 0000 & 0011 & 0000 & 0000 & 0010 \\
1 & 0001 & 0100 & 0001 & 0001 & 0110 \\
2 & 0010 & 0101 & 0010 & 0100 & 0111 \\
3 & 0011 & 0110 & 0011 & 0101 & 0101 \\
4 & 0100 & 0111 & 0100 & 0111 & 0100 \\
5 & 0101 & 1000 & 1011 & 1000 & 1100 \\
6 & 0110 & 1001 & 1100 & 1001 & 1101 \\
7 & 0111 & 1010 & 1101 & 1100 & 1111 \\
8 & 1000 & 1011 & 1110 & 1101 & 1110 \\
9 & 1001 & 1100 & 1111 & 1111 & 1010 \\
\midrule
\textbf{权} & \textbf{8421} & & \textbf{2421} & \textbf{5211} & \\
\bottomrule
\end{tabular}
\end{table}
\end{document}二、逻辑关系及运算
javascript
\documentclass{standalone}
\usepackage{ctex} % 支持中文
\usepackage{tikz}
\usetikzlibrary{circuits.logic.US, positioning}
\begin{document}
\begin{tikzpicture}[
circuit logic US,
scale=1.5, % 增大缩放比例
every node/.style={font=\small},
gate/.style={draw, minimum size=9mm}
]
% ========== 顶部中文标题 ==========
\node[above] at (2, 4) {\large 基本逻辑门：与、或、非};
% ========== 1. 与门（AND）- 第一行 ==========
\node[and gate, inputs={nn}] (and) at (2, 3) {};
\draw (and.input 1) -- ++(-0.5, 0) node[left] {A};
\draw (and.input 2) -- ++(-0.5, 0) node[left] {B};
\draw (and.output) -- ++(0.5, 0) node[right] {Y};
\node[above=0.2cm of and, red] {$\mathbf{Y = A \cdot B}$};
\node[below=0.2cm of and] {\textbf{与门(AND Gate)}};
% ========== 2. 或门（OR）- 第二行 ==========
\node[or gate, inputs={nn}] (or) at (2, 1) {};
\draw (or.input 1) -- ++(-0.5, 0) node[left] {A};
\draw (or.input 2) -- ++(-0.5, 0) node[left] {B};
\draw (or.output) -- ++(0.5, 0) node[right] {Y};
\node[above=0.2cm of or, blue] {$\mathbf{Y = A + B}$};
\node[below=0.2cm of or] {\textbf{或门(OR Gate)}};
% ========== 3. 非门（NOT）- 第三行 ==========
\node[not gate] (not) at (2, -1) {};
\draw (not.input) -- ++(-0.5, 0) node[left] {A};
\draw (not.output) -- ++(0.5, 0) node[right] {Y};
\node[above=0.2cm of not, violet] {$\mathbf{Y = \overline{A}}$};
\node[below=0.2cm of not] {\textbf{非门(NOT Gate)}};
% 增加行之间的分隔线（可选）
\draw[gray, thin] (0, 2) -- (4, 2);
\draw[gray, thin] (0, 0) -- (4, 0);
\end{tikzpicture}
\end{document}与非
javascript
\documentclass[border=20pt]{standalone}
\usepackage[UTF8]{ctex}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}[
line width=1.5pt,
arrow/.style={-{Stealth[length=4mm]}, line width=1.2pt}
]
% 标题
\node[font=\huge\bfseries, blue!80!black] at (0, 5) {与非门 (NAND Gate)};
% 与非门符号
\draw[blue!80!black, fill=yellow!10, line width=2pt, rounded corners=5pt]
(-1, 0) rectangle (1, 1.5);
\node[blue!80!black, scale=2] at (0, 0.75) {$\&$};
\draw[blue!80!black, fill=white, line width=2pt] (1, 0.75) circle (0.1);
% 输入输出
\draw[blue!80!black, line width=2pt] (-2, 0.3) -- (-1, 0.3) node[midway, above] {A};
\draw[blue!80!black, line width=2pt] (-2, 1.2) -- (-1, 1.2) node[midway, above] {B};
\draw[blue!80!black, line width=2pt] (1.1, 0.75) -- (2.5, 0.75) node[midway, above] {$Y_1$};
\draw[blue!80!black, arrow] (-2, 0.3) -- (-1, 0.3);
\draw[blue!80!black, arrow] (-2, 1.2) -- (-1, 1.2);
\draw[blue!80!black, arrow] (1.1, 0.75) -- (2.5, 0.75);
% 公式
\node[red!80!black, font=\Large] at (0, -1)
{$Y_1 = \overline{A \cdot B}$};
\end{tikzpicture}
\end{document}或非
javascript
\documentclass[border=20pt]{standalone}
\usepackage[UTF8]{ctex}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}[
line width=1.5pt,
arrow/.style={-{Stealth[length=4mm]}, line width=1.2pt}
]
% 标题
\node[font=\huge\bfseries, blue!80!black] at (0, 5) {或非门 (NOR Gate)};
% 或非门符号
\draw[blue!80!black, fill=green!10, line width=2pt, rounded corners=5pt]
(-1, 0) rectangle (1, 1.5);
\node[blue!80!black, scale=2] at (0, 0.75) {$\geq 1$};
\draw[blue!80!black, fill=white, line width=2pt] (1, 0.75) circle (0.1);
% 输入输出
\draw[blue!80!black, line width=2pt] (-2, 0.3) -- (-1, 0.3) node[midway, above] {A};
\draw[blue!80!black, line width=2pt] (-2, 1.2) -- (-1, 1.2) node[midway, above] {B};
\draw[blue!80!black, line width=2pt] (1.1, 0.75) -- (2.5, 0.75) node[midway, above] {$Y_2$};
\draw[blue!80!black, arrow] (-2, 0.3) -- (-1, 0.3);
\draw[blue!80!black, arrow] (-2, 1.2) -- (-1, 1.2);
\draw[blue!80!black, arrow] (1.1, 0.75) -- (2.5, 0.75);
% 公式
\node[red!80!black, font=\Large] at (0, -1)
{$Y_2 = \overline{A + B}$};
\end{tikzpicture}
\end{document}与或非
javascript
\documentclass[border=20pt]{standalone}
\usepackage[UTF8]{ctex}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}[
line width=1.5pt,
arrow/.style={-{Stealth[length=4mm]}, line width=1.2pt}
]
% 标题
\node[font=\huge\bfseries, blue!80!black] at (0, 5) {复合门 (Compound Gate)};
% 复合门符号
\draw[blue!80!black, fill=blue!10, line width=2pt, rounded corners=5pt]
(-1, 0.2) rectangle (1, 1.5);
\node[blue!80!black, scale=1.8] at (0, 0.85) {$\&$};
\draw[blue!80!black, fill=green!10, line width=2pt, rounded corners=5pt]
(-1, -1.3) rectangle (1, 0.2);
\node[blue!80!black, scale=1.8] at (0, -0.55) {$\geq 1$};
\draw[blue!80!black, fill=white, line width=2pt] (1, -0.55) circle (0.1);
% 输入输出
\draw[blue!80!black, line width=2pt] (-2.5, 0.6) -- (-1, 0.6) node[midway, above] {A};
\draw[blue!80!black, line width=2pt] (-2.5, 1.1) -- (-1, 1.1) node[midway, above] {B};
\draw[blue!80!black, line width=2pt] (-2.5, -0.9) -- (-1, -0.9) node[midway, above] {C};
\draw[blue!80!black, line width=2pt] (-2.5, -0.2) -- (-1, -0.2) node[midway, above] {D};
\draw[blue!80!black, line width=2pt] (1.1, -0.55) -- (3, -0.55) node[midway, above] {$Y_3$};
\draw[blue!80!black, arrow] (-2.5, 0.6) -- (-1, 0.6);
\draw[blue!80!black, arrow] (-2.5, 1.1) -- (-1, 1.1);
\draw[blue!80!black, arrow] (-2.5, -0.9) -- (-1, -0.9);
\draw[blue!80!black, arrow] (-2.5, -0.2) -- (-1, -0.2);
\draw[blue!80!black, arrow] (1.1, -0.55) -- (3, -0.55);
% 公式
\node[red!80!black, font=\Large] at (0, -2)
{$Y_3 = \overline{(A \cdot B) + (C \cdot D)}$};
\end{tikzpicture}
\end{document}