a b c d

b

The  output equation representing the given operation be written as  $ Y = (A +B) (\bar A + \bar B) = A\bar A + B\bar A + A \bar B + B \bar B = 0 + B\bar A + A \bar B + 0= B\bar A + A \bar B $ $\text{This is the expression for XOR gate.}$