(Solved): 1. Design a sequential circuit with two \( D \) flip-flops \( A \) and \( B \), and one input \( x ...

1. Design a sequential circuit with two \( D \) flip-flops \( A \) and \( B \), and one input \( x \). When \( x=0 \), the state of the circuit remains the same. When \( x=1 \), the circuit goes through the state transitions from 00 to 01 , to 11 , to 10 , back to 00 , and repeats. Follow the steps below to design the circuit: a. Draw the State diagram b. From the state diagram, derived the circuit excitation and output/state table c. Use K-maps to derive the necessary logic equations for the flip-flop inputs d. Draw the sequential circuit.