1a. 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...

1a. 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.