Design a sequential circuit with two JK flip$-$flops A and B and two inputs E and x$.$ If E $=$

$0,$ the circuit remains in the same state regardless of the value of x$.$ When E $=1$ and x $=1,$

the circuit goes through the state transitions from $00$ to $01,$ to $10,$ to $11,$ back to $00,$ and

repeats. When E $=1$ and x $=0,$ the circuit goes through the state transitions from $00$ to $11,$

to $10,$ to $01,$ back to $00,$ and repeats. Design a sequential circuit with two JK flip$-$flops A and $B$ and two inputs $E$ and $x.$ If $E=$

$0,$ the circuit remains in the same state regardless of the value of $x.$ When $E=1$ and $x=1,$

the circuit goes through the state transitions from $00$ to $01,$ to $10,$ to $11,$ back to $00,$ and

repeats. When $E=1$ and $x=0,$ the circuit goes through the state transitions from $00$ to $11,$

to $10,$ to $01,$ back to $00,$ and repeats.