5- Simplify the following functions using K-maps, and then derive the corresponding simplified Boolean expressions. Note that d stands for don't-care cases. (12 points) a) F(w, x, y, z) = (0,2,8,10, 12, 13, 14) b) F(w, x, y, z)= c) F(A,B,C,D) E(0,2,3,5,7,8, 10, 11, 14, 15) [1(1,3,6,9,11,12,14) d) F(x, y, z) = (0,4,5,6) and d(x, y, z) = (2,3,7) 6-Implement each of the simplified functions in Question 5 with the corresponding gates. Assume the inputs and their complements are available. (4 points) 7- Implement each of the simplified functions in Question 6 with NAND logic gates. (4 points) 8- Implement each of the simplified functions in Question 6 with NOR logic gates. (4 points)