3) From the combinational logic diagram below a) Derive the logical function for X. b) Convert the function X obtained in a) to standard SOP expression. c) Draw the logic circuit base on the standard SOP expression obtained in b). d) Derive the truth table based on the standard SOP expression obtained in b). e) From the truth table in d), simplify the circuit in c) using K-map simplification and derive the simplified SOP expression. f) Draw the logic circuit diagram base on the SOP expression obtained in e). g) Simplify the Boolean expression in a) using any Boolean identities to prove that the logic diagrams in 3) and f) are logically identical. 4) For the given logic circuit, assume that all the gates are perfect gates (no timing delay), complete the waveform for output Y. u 3) From the combinational logic diagram below a) Derive the logical function for X. b) Convert the function X obtained in a) to standard SOP expression. c) Draw the logic circuit base on the standard SOP expression obtained in b). d) Derive the truth table based on the standard SOP expression obtained in b). e) From the truth table in d), simplify the circuit in c) using K-map simplification and derive the simplified SOP expression. f) Draw the logic circuit diagram base on the SOP expression obtained in e). g) Simplify the Boolean expression in a) using any Boolean identities to prove that the logic diagrams in 3) and f) are logically identical. 4) For the given logic circuit, assume that all the gates are perfect gates (no timing delay), complete the waveform for output Y. u