Design a sequential circuit using two D flip$-$flops A and B and one input x$.$ If x $=0,$ the state of the circuit remains the same. If x $=1,$ the circuit goes through the state transitions from $00$ to $01,$ to $11,$ to $10,$ back to $00,$ and then repeats, when the clock pulse comes each time. You need to show your design details and draw the circuit diagram.