A sequential circuit with two D f$/$f$,$ A and B; two inputs $,$ x and y and one output, z is

specified by the following next$-$state and output functions:

A$($t$+1)=$ x$$y $+$ xA

B$($t$+1)=$ x$$B $+$ xA

Z $=$ BDerive the state table

Derive the state diagram

Draw the circuit