Design a one$-$inout $($ X $).$ two$-$output $($ Y and Z$)$ synchronous Moore FSM$.$ Y should be $1$ if and only It the most recent meo inputs were $01\mathrm{.}2$ should be $1$ if and only it $Y$ was $1$ at some lime in the past and the most recent input was $0.$

$[10]$

a$)$ Determine the state diagram.

$[4]$

b$)$ Determine the state table.

$127$

c$)$ Design the FSM using D FF$.$ Equations are enough you do not need to draw the gate level diagram

$14$