E X E R C I S E 5.4 Consider the statement: " is TRUE if at least two of W, X and Y are TRUE, otherwise Z is FALSE." a) Write a boolean expression for this statement. b) Write a truth table for the function Z. c) Implement Z using only AND, OR, and NOT gates. The inputs W, X, and Y are available. Each gate may have an arbitrary number of inputs. (Hint A sum-of-products representation of the boolean expression will facilitate this implementation.) d) Implement Z using only AND, OR, and NOT gates. Each gate may have no more than two inputs. As before, the inputs W, X, and Y are available. e) Implement Z using only NAND and NOR gates. (Hint: a NAND gate or a NOR gate with its inputs tied together behaves like an inverter.) f) Implement Z using only NAND gates. (Hint: Use De Morgan's laws.) g) Implement Z using only NOR gates. (Hint: Use De Morgan's laws.) h) Repeat part (d) and attempt to minimize the number of gates used