Question $3[15$ pts$]$

Consider the following sequential circuit.

a$)$ Obtain the state equations $Q_1(t+1),Q_2(t+1)$ and the output equation Z $.$

b$)$ Obtain the state table. Use the order of the inputs as $Q_1,Q_2,x$ where $Q_1$ is the MSB and x is the LSB$.$

c$)$ Draw the state diagram.