How do i show that the output of the exclusive OR circuit is?

Question

How do you show the out put of the exclusive OR (XOR) is Y = (((AB)' * B)' * ((AB)' *A)')'

Answer 1

Also, it's just a four-row truth table. Check all possible values of (A,B) and see that the output matches XOR.

Answer 2

Simplify Y = (((AB)' * B)' * ((AB)' *A)')' to prove that it is indeed an XOR expression, using distributive method.

For exclusive OR(XOR)...
Y = (A * B') + (A' * B)

So you have to invert your expression and change your operators. * become +, and + become *, etc.

Answer 3

Y = (A ^ ~B) | (~A ^ B)

^ = AND
~ = NOT