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 $+1)=$ xy$\text{'}+$ xB

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

z$=$A

a$.$ Draw the logic diagram of the circuit

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

c$.$ Draw the corresponding state diagram