$$ P.6 A sequential circuit has two $J K$ flip-flops $A$ and $\underline{B}$, two inputs $X$ and $y$, and one output $2$. The flip-flop input equations and circuit output equation are: \begin{array}{11} \mathbf {J}_{\mathbf{A}}=\underline{\mathbf{B x}}+\mathbf{B}^{\prime} \mathbf {y}^{\prime} & \mathbf{K}_{\mathbf{A}}=\mathbf{B}^{\prime} \mathbf{x y}^{\prime} \ \mathbf{J}_{\mathbf{B}}=\mathbf{A}^{\prime} \mathbf{x} & \mathbf{K}_{\mathrm{B}}=\mathbf {A}+\mathbf {x y}^{\prime} \ \mathbf {z}=\mathbf{A x}^{\prime} \mathbf{y}^{\prime}+\mathbf{B x}^{\prime} \mathbf {y}^{\prime} & \end{array} $$ (a) Draw the logic diagram of the circuit. (b) Tabulate the state table. CS. JG. 036