2-Input NAND Gate
A 2-input NAND gate is a logic gate which gives output high when at least one input is low. It gives low output when both the inputs are high.
Truth Table for 2- Input NAND Gate
The following truth table represents the NAND gate.
|
A |
B |
A NAND B |
|---|---|---|
|
0 |
0 |
1 |
|
0 |
1 |
1 |
|
1 |
0 |
1 |
|
1 |
1 |
0 |
Expression for 2-Input NAND Gate
From the above truth table expression for NAND gate is:
A NAND B = A’B’ + A’B + AB’
A NAND B = A’ + B’ = (A.B)’
Logic Diagram of 2- Input NAND Gate
Below is the logic diagram of NAND gate.
NAND Gate Logic Diagram
Implementation of NOR Gate from NAND Gate
Implementation of the NOR gate from the NAND gate is possible because NAND is a Universal gate i.e., it can implement all other gates. The NAND gate gives output low when all the inputs are high whereas the NOR gate gives output high when all inputs are low. In this article, we will implement the NOR gate using the NAND gate.
Table of Content
- NOR Gate
- NAND Gate
- Implementation of NOR Gate from NAND Gate
- Conclusion