1. Simplify the following Boolean expressions to a minimum number of literals using only the basic identities of Boolean algebra in Table 2-6 in the text. Make sure you identify the identity used for each step! a) F(A,B,C,D) = ABC (BD)' b) F(A,B,C,D) = (ABCD)' + A'B + C'D c) F(A,B,C,D) = (B' + D')' + ABD' + A'BD' d) F(A,B,C,D,E) = AB + ABC + ABCD + ABCDE TABLE 2-6 Basic Identities of Boolean Algebra 2. X 1 = X 4. X-0 = 0 6. X. X = X 8. X. X= 0 1. X + 0 = X 3. X + 1 = 1 5. X + X = X 7. X + X = 1 9. X = X 10. X + Y = Y + X 12. X + (Y + Z) = (X + Y) + Z X(Y + Z) = XY + XZ 16. X + Y = XY 11. XY = YX Commutative 13. X(YZ) = (XY)Z Associative 15. X + YZ = (X + Y)(X + 2) Distributive 17. X Y = X + Y DeMorgan's