数电—组合逻辑电路
1.编码器(coder)
编码:将输入的每个高/低电平信号变成一个对应的二进制代码。
普通编码器
只允许一个输入信号有效
| I0 | I1 | I2 | I3 | I4 | I5 | I6 | I7 | Y2 | Y1 | Y0 |
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 |
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 |
优先编码器
允许多个输入信号同时有效,但只按优先级最高的有效输入信号编码。
| I0 | I1 | I2 | I3 | I4 | I5 | I6 | I7 | Y2 | Y1 | Y0 |
|---|---|---|---|---|---|---|---|---|---|---|
| X | X | X | X | X | X | X | 1 | 1 | 1 | 1 |
| X | X | X | X | X | X | 1 | 0 | 1 | 1 | 0 |
| X | X | X | X | X | 1 | 0 | 0 | 1 | 0 | 1 |
| X | X | X | X | 1 | 0 | 0 | 0 | 1 | 0 | 0 |
| X | X | X | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |
| X | X | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
| X | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
2.译码器(decoder)
译码:将每个输入的二进制代码译成对应的输出高/低电平信号。
| A2 | A1 | A0 | Y7 | Y6 | Y5 | Y4 | Y3 | Y2 | Y1 | Y0 |
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Y0 = A2’A1’A0’ = m0
…
Y7 = A2A1A0 = m7
3.数据选择器(MUX)
二选一数据选择器
Y = SEL·A + SEL‘·B
| SEL | A | B | Y |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 1 |
| 0 | 1 | 0 | 0 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |
| 1 | 1 | 1 | 1 |
具有n位地址输入的数据选择器,至少可产生输入变量不大于n+1的组合函数
eg:Y1 = D0(A1’A0’) + D1(A1’A0) + D2(A1A0’) + D3(A1A0)
4.竞争—冒险
Y=AB+A’C
在B=C=1的条件下,Y=A+A′⇒稳态下Y=1
当A改变状态时存在竞争-冒险