Author: M Abo Bakar Aslam

NAND Gate

The NAND gate is the inverse of the AND gate and outputs LOW only when all inputs are HIGH. It is a universal gate used to build any digital circuit.


Click here if you want to know how this gate will act as universal gate.

1. Properties

  1. Minimum two inputs
  2. It inverts output of AND Gate. It is a combination of AND followed by NOT.
NAND Gate is Combination of AND and NOT Gate
Figure 1: NAND Gate is Combination of AND and NOT Gate

2. Symbol - 2 Inputs NAND Gate

NAND Gate with 2 Inputs
Figure 2: NAND Gate with 2 Inputs

3. Boolean Expression - 2 inputs NAND Gate

Y = (A . B)'

4. Truth Table - 2 Inputs NAND Gate

Total Number of Rows = 2^(number of inputs) = 2^2 = 4
Total Numbers: 0, 1, 2, 3
ABA.BY
0001
0101
1001
1110

5. NAND Gate with Multiple Inputs

NAND Gate with 3 Inputs
Figure 3: NAND Gate with 3 Inputs
NAND Gate with 4 Inputs
Figure 4: NAND Gate with 4 Inputs
NAND Gate with 1 Inputs
Figure 5: NAND Gate with 1 Inputs