Author: M Abo Bakar Aslam

Exercise - Universal Gates

There are multiple Boolean Expressions in the exercise on base of Universal Gates. You have to draw circuit diagrams with and without universal gates.

Q.1. Y = AB′ + A′B

Using Basic Gates

Circuit Diagram using Basic Gates
Figure 1: Circuit Diagram using Basic Gates

Using Universal Gate (NAND) - Solution 1

Circuit Diagram using NAND Gate Only
Figure 2: Circuit Diagram using NAND Gate Only - Solution 1

Using Universal Gate (NAND) - Solution 2

This solution has less number of gates as compared to above solution.

Circuit Diagram using NAND Gate Only
Figure 3: Circuit Diagram using NAND Gate Only - Solution 2

Q.2. Y2 = A'BC'

Using Basic Gates

Circuit Diagram using Basic Gates
Figure 4: Circuit Diagram using Basic Gates

Using Universal Gate (NAND)

Circuit Diagram using NAND Gate Only
Figure 5: Circuit Diagram using NAND Gate Only

Q.3. Y3 = A' + B + C'

Using Basic Gates

Circuit Diagram using Basic Gates
Figure 6: Circuit Diagram using Basic Gates

Using Universal Gate (NAND) - Solution 1

Circuit Diagram using NAND Gate Only
Figure 7: Circuit Diagram using NAND Gate Only - Solution 1

Using Universal Gate (NAND) - Solution 2

This solution has less number of gates as compared to above solution.

Circuit Diagram using NAND Gate Only
Figure 8: Circuit Diagram using NAND Gate Only - Solution 2