Question

One logic function that is used for a variety of purposes(including within adders and to compute parity) is exclusive OR. The output of a two-input exclusive OR function is true only if exactly one of the inputs is true. Show the truth table for a two-input exclusive OR function and implement this function using AND gates, OR gates, and inverters

Short answer

Truth table:

A	B	$A\oplus B$
0	0	0
1	0	1
0	1	1
1	1	0

Implementation:

Step-by-step solution

Determine the logical gates

The basic logic gates are AND, OR, and NOT. AND gate will take two inputs and produce output as 1 only if both the inputs are 1. OR gate will take two inputs and produce output 1 if any of the inputs is 1. NOT gate will take only one input and gives the opposite of the input as the output. 1. All the logical gates will be represented by the truth tables. XOR, NAND, XNOR are the exclusive gates that are derived from the basic gates.

Determine the truth table for a two-input exclusive OR function and implement this function using AND gates, OR gates, and inverters.

The exclusive OR function will result in 1 if both the inputs are different.

The truth table of the exclusive OR function is as follows:

A	B	$A\oplus B$
0	0	0
1	0	1
0	1	1
1	1	0

Implementation of Exclusive OR function using AND, OR, and inverter gates.