Q$2.$ A sequential circuit with two D Flip$-$flops A and B$,$ two inputs, x and y$,$ and one output z is specified by the following next state and output equations:

A$($t$+1)=$x$^\text{'}$ y$+$xB

B$($t$+1)=$xA$^\text{'}+$xB

z$=$B

Tabulate the state table for the sequential circuit.

Draw the corresponding state diagram.