Show your work

7. One of De Morgan's theorems stat es that XY-X.Y. Simply stated, this means that logically there is no difference between: a) a NOR and an AND gate with inverted inputs b) a NAND and an OR gate with inverted inputs c) an AND and a NOR gate with inverted inputs d) a NOR and a NAND gate with inverted inputs How many gates would be required to implement the following Boolean expression before simplification? XY + X(X+Z)+ Y(X +Z) 8. b)2 c) 4