Q $4$: A sequential circuit with three flip$-$flops $A,B,$ and C $,$ two inputs, x and y ; and one output $z$ is specified by the following next$-$state and output equations

a$.$ Draw the logic diagram of the circuit.

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

c$.$ Draw the corresponding state diagram.

Q $5$: Design a sequential circuit with two JK flip$-$flops A and B and two inputs E and F $.$ If $E=0,$ the circuit remains in the same state regardless of the value of $F.$ When $E=1$ and $F=1,$ the circuit goes through the state transitions from $00$ to $01,$ to $10,$ to $11,$ back to $00,$ and repeats. When $E=1$ and $F=0,$ the circuit goes through the state transitions from $00$ to $11,$ to $10,$ to $01,$ back to $00,$ and repeats

Q $6$: A sequential circuit has three flip$-$flops A$,$ B$,$ C; one input $x_{-}$in; and one output y$\_$out. The state diagram is shown below. The circuit is to be designed by treating the unused states as don't$-$care conditions. Analyze the circuit obtained from the design to determine the effect of the unused states. Use JK flip$-$flops in the design.