Q$3)$ A sequential circuit has two $JK$ flip$-$flops, A and $B$; and one input $x.$ The circuit is described by the following flipflop input equations:

$J_A=x,K_A=B$

$J_B=x^{\text{'}},K_B=A^{\text{'}}$

$($a$)$ Draw the logic diagram of the circuit.

$($b$)$ List the state table for the sequential circuit.

$($c$)$ Draw the corresponding state diagram.