Realize Z = A ′D + A′C + AB′C′D′ using four NOR gates.
时间: 2023-10-14 09:14:21 浏览: 48
To realize Z = A'CD AB'C'D' using NOR gates, we can use the following circuit:
```
_____
| |
A' ---| NOR |---- Z
|_____|
|
_____
| |
C ---| NOR |
|_____|
|
_____
| |
D ---| NOR |
|_____|
|
_____
| |
B' ---| NOR |
|_____|
|
_____
| |
C' ---| NOR |
|_____|
|
_____
| |
D' ---| NOR |
|_____|
```
The circuit consists of four NOR gates, each taking two inputs. The inputs are connected as follows:
- The first NOR gate takes A' and C as inputs.
- The second NOR gate takes B' and C' as inputs.
- The third NOR gate takes A' and D as inputs.
- The fourth NOR gate takes C and D' as inputs.
The outputs of the second and fourth NOR gates are connected to the inputs of the first NOR gate. The outputs of the first and third NOR gates are connected to the inputs of the fourth NOR gate. Finally, the outputs of the first and third NOR gates are connected to the inputs of the second NOR gate.
With this circuit, we can realize the Boolean expression Z = A'CD AB'C'D' using only NOR gates.