$6\mathrm{.}1$ Analyze the pulse$-$mode circuit shown in Fig. P$6\mathrm{.}1.($a$)$ Determine a state table. $($b$)$ Construct a timing diagram for the circuit in response to the following input sequence: $x_1-x_3-x_2-x_1-x_2-x_3-x_1.$ Include $x_1,x_2,x_3,y_1,y_2,J_1,K_1,J_2,K_2,Y_1,Y_2,$ and $z$ in your diagram.

Figure P$6\mathrm{.}1$