Design a sequential circuit that has a primary input w and a final output z$.$ Each clock cycle, the primary input w$,$ receives a high pulse $($i$.$e$.1),$ or a low pulse $($i$.$e$.0).$ When a sequence of three consecutive pulses $101$ are received at the primary input in three consecutive clock cycles then the final output $($z$)$ of this sequential circuit is to produce an output z$=1,$ to indicate the successful detection of input signal $101$ in three consecutive cycles.