Simplify the following Boolean function F together with the don't-care conditions d; then express the simplified function. (a) F(x, y, z) = d(x, y, z) (0, 1, 2, 4, 5) (3, 6, 7) (b) F(A, B, C, D) = (0, 6, 8, 13, 14) d(A, B, C, D) (2, 4, 10) B. A logic circuit implements the following Boolean function: F = A'C + AC'D' It is found that the circuit input combination A = C = 1 can never occur. Find a simpler expression for F using the proper don't-care conditions.