COMPUTER ORGANIZATION AND ARCHITECTURE

d# 逻辑门电路

与

逻辑运算：与 AND
表达式：$\mathbf{Y}=\mathbf{A}\cdot \mathbf{B}$

1：true , 0: false

A	B	Y
0	0	0
0	1	0
1	0	0
1	1	1

门电路符号

Drawing 2025-08-27 03.47.29.excalidraw

⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠ You can decompress Drawing data with the command palette: ‘Decompress current Excalidraw file’. For more info check in plugin settings under ‘Saving’

Excalidraw Data

Text Elements

A

B

Y

&

A

B

Y

Link to original

上方是国标画法(GB/T4728.02-1996)。
下方是国际常用画法。

或

逻辑运算：或 OR
表达式：$Y=A+B$

A	B	Y
0	0	0
0	1	1
1	0	1
1	1	1
门电路符号
Drawing 2025-10-04 OR.excalidraw ⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠ You can decompress Drawing data with the command palette: ‘Decompress current Excalidraw file’. For more info check in plugin settings under ‘Saving’ Excalidraw Data Text Elements A B Y Link to original

非

逻辑运算：非 NOT
表达式：$\text{Y}=\overline{\mathrm{A}}$

A	Y
1	0
0	1
门电路符号

复合逻辑运算：与非

逻辑运算：与非 NAND
NAND stands for NOT-AND

$\mathrm{Y}=\overline{\mathrm{A}\cdot \mathrm{B}}=\overline{AB}$

先把AB相与再取非

A	B	Y
0	0	1
0	1	1
1	0	1
1	1	0

简化为

复合逻辑运算：或非

或非 NOR
NOR stands for NOT-OR

$\mathrm{Y}=\overline{\mathrm{A}+\mathrm{B}}$

A	B	Y
0	0	1
0	1	0
1	0	0
1	1	0

复合逻辑运算：异或

异或 XOR
exclusive OR

$\mathrm{Y}=\mathrm{A}\oplus \mathrm{B}$

A	B	Y
0	0	0
0	1	1
1	0	1
1	1	0

异或门：两个输入相“异”时，输出为1

复合逻辑运算：同或

同或 XNOR
exclusive NOT-OR
$Y=A\odot B=\overline{A\oplus B}$

A	B	Y
0	0	1
0	1	0
1	0	0
1	1	1