(10 pts) 1. Using Karnaugh maps, find all prime implicates and list them. (a) F(X, Y, Z) = 1 (1, 2, 6, 7) (b) F(A, B, C, D) = (4, 5, 6, 13, 15) (40 pts) 2. Using Karnaugh maps, find a minimal sum-of-products expression for each of the following logic functions. List all the essential 1-cells and mark them with an **** in the map. Draw a two-level logic diagram using NAND-NAND logic. (a) F (A, B, C, D) = A B C + AC + ACD + ACD +ABD (b) F (W, X, Y, Z) = (1, 4, 5, 6, 7, 9, 14, 15) (c) F(A, B, C, D) ET (4, 5, 6, 13, 15) (d) F (W, X, Y, Z) = (0, 1, 3, 5, 14)