# Exclusive OR Gate | Ex-OR gate

We have gone through the three basic gates i.e. OR gate, AND gate and NOT gate now we will look at some of the other gates. Ex-OR or Exclusive OR gate is one of them. As the name suggest it is a modified version of OR gate, but how much different it is from the fundamental gate what is the difference we will know it in this article.

The Exclusive OR gate is a two input one output gate. The symbol and the truth table are given below.

A B Y
0 0 0
0 1 1
1 0 1
1 1 0

As seen from the truth table we can see that for two input Ex-OR gate the combination of total input sequence are four and if we thoroughly examine the result of the truth table we can find the obvious relation of it with the truth table of OR gate. The only difference between this truth table is that in this case the output is 0 when both the inputs are same and in all the other cases the output is 1.

The mathematical representation of the operation of the Exclusive OR gate is like.

Y = ( A ⊕ B ) = A’B + AB’ (where A’ is the complement of A and B’ is the complement of B)

### Application

Design with by SARU TECH