Problem $3(40$ points$)$

Design a sequential circuit with one input $x.$ When $x=0,$ the state of the circuit remains the

same. When $x=1$ the circuit goes through the state transitions from $00$ to $11,$ to $01,$ to $10,$ back

to $00$ and repeats. The circuit is a Moore Machine.

a$.(10$ points$)$ Draw the state transition diagram.

b$.(10$ points$)$ Write the state transition table.

c$.(5$ points$)$ Write the output table.

d$.(5$ points$)$ Write the Boolean equations for the state transitions.

e$.(5$ points$)$ Write the Boolean equations for the outputs.

f$.(5$ points$)$ Draw the circuit.