EXOR Gate

An EXOR gate (also known as Exclusive OR) is just another name for a XOR gate, however GCSE students usually do not know this, and therefore it makes a very good question to trip them. In this example, we use two NOT gates, two AND gates, and an OR gate. Although you might not be familiar with this implementation, the Boolean algebra actually simplifies to an XOR formula, and therefore it is worth remembering this other way of making the same function.


XOR Gate Truth Table for 2 Inputs

BACDEFQ
0011000
0101011
1010101
1100000

Boolean Implementation of EXOR

Boolean Equation 1

As you can surmise, the outputs C and D from the NOT gates is simply a result of inverting their inputs A and B.

Boolean Equation 2

The expressions for E and F from the AND gates is simply an AND function of their inputs.

Boolean Equation 3

We get the result Q by simple substitution of the previous expressions.

This Article Continues...

Boolean Algebra
De Morgan's Theorem
XOR Gate
EXOR Gate
XNOR Gate
Example 1 Questions and Answers
Example 2 Questions and Answers