Please do 6&7

6. Simplify to a sum of three terms: (a) (2 Points) C(A'D'+A(B'+C+D)+ACD+B(A'+B+C) (b) (3 Point ) (A + B + C)(A, + B' + D') (A + C')+(A + C, + D)(A' + C + D,)(A" + B + C). 7. Let F-(r + y) (z + z) + (z + z')(y' + z) + rVz, and G-x + (y 2). Show that F-G (Hint: Equivalence operator (is defined as (a b) = ab + aw) (a) (1 Point) By using the truth tables of F and G (b) (2 Points) By simplifying F to the minimum number of terms. (c) (2 Point) Draw the logic diagrams of F and G. Compare the total number of logic gates. by doing the following steps. (a) (2 Points) Simplify F to its SOP form. Remove any redundant terms b) (2 Points) Simply G to its POS form. Remove any redundant terms (c) (1 Point) Take ither F or G's complement and equate it to the other