. Draw a circuit diagram using appropriate logic gates to implement a 3-bit comparator. Identify the gates used in implementation and show its usage to compare two 3-bit words by writing the truth table. b. Write the Boolean expression for the following 4 input circuit. Include sub-expressions for outputs of each gate. c. Complete a truth table for the previous logic gate circuit in part b. d. Write the Boolean expression for the new circuit below. Then, simplify the following logic circuit using the theorems in Boolean algebra. Show the steps clearly and specify the law used in each step. Finally draw the simplified circuit diagram.

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