Correct option (A)
Explanation:
Assume dummy variable K as a output of XOR gate K = X ⊕ Y = bar XY + X bar Y
F = k.(K ⊙ Z)
= (bar (KZ) + K.Z)
= K. bar (KZ) + K. K.Z
= 0 + K.Z (∵ K.⌈k = 0 and k.k = k)
Put the value of K in above expression
F = (bar XY + X bar Y)Z
= bar XYZ + X bar YZ