$3.)$ You want to design a synchronous counter sequential logic circuit. It will count from $0$ to $9$ and will not count the decimal numbers in the last two digits of your student number.

a$.$ List the process steps you will apply in the design approach. Create the State Diagram and State Table. $(15$ points$)$

b$.$Design the sequential circuit using JK Flip$-$Flop. Explain each step. Show that it performs the desired action. $(15$ points$)$