Simplify each of the following functions for F using a K-map. Draw a logic diagram for each using NAND-only and NOR-only gates. 

(a) F(W, X, Y, Z) = Σ m(0, 2, 4, 8, 12)
(b) F(W, X, Y, Z) = Σ m(0, 2, 4, 7, 11, 12, 13)
(c) F(A, B, C, D) = Σ m(1, 3, 5, 6, 8, 9, 10, 14, 15)
(d) F̅(A, B, C, D) = Σ m(0, 1, 4, 5, 12, 13) Don’t Cares, d (A, B, C, D) = Σ m(2, 6, 14)
(e) F(A, B, C, D) = Σ m(3, 7, 8, 9, 12, 15) Don’t Cares, d (A, B, C, D) =Σ m(2, 6, 14)
(f) F(W, X, Y, Z) = Σ m(4, 6, 8, 12)
Don’t Cares, d (W, X, Y, Z) =Σ m( 11, 14 )