Implementation of XOR Gate from NOR Gate
Below is the logic diagram for implementation of XOR gate from NOR gate
Implementation of XOR gate from NOR gate
To implement XOR gate from NOR gate we follow below steps
- First, we connect both the inputs in NOR gate resulting in (A + B)’.
- Then, after we have another two NOR gates with the inputs A, (A + B)’ and B, (A + B)’ respectively with outputs [A + (A + B)’]’ and [B + (A + B)’]’.
- Again, the connect outputs of the above NOR gates to next NOR gate resulting in the output [A’B + AB’]’.
- Now, the result is generated in complement form so, we connect the result as the input for last NOR gate which gives the output [AB’ + A’B].
- The resultant of the last NOR gate gives us XOR gate.
- So, the number of NOR gates required to implement XOR gate is 5.
Implementation of XOR Gate from NOR Gate
Implementation of the XOR gate from the NOR gate is possible because the NOR gate is a Universal gate i.e., it can implement all other gates. The NOR gate gives the output 1 if all the inputs are 0. XOR gate is a logic gate that gives output 1 when several 1s are odd. In this article, we will explore the XOR gate, and NOR gate and implement the XOR gate from the NOR gate.
Table of Content
- XOR Gate
- NOR Gate
- Implementation
- Conclusion