Design a sequential circuit with two d flip-flops a and b, and one input x_in.

(a)when xin = 0, the state of the circuit remains the same. when x_in = 1, the circuit goes through the state transitions from 00 to 01, to 11, to 10, back to 00, and repeats.

(b)when xin = 0, the state of the circuit remains the same. when x_in =1, the circuit goes through the state transitions from 00 to 11, to 01, to 10, back to 00, and repeats.