The solutions must be handwritten $(\backslash (20\backslash \%\backslash )$ deduction if not$),$ scanned and uploaded to CANVAS. Please do not use iPad to write the solution $-$ treat this as practice for your examination and write on paper.

Please show the steps clearly. Or else marks will be deducted.

Using a synchronous binary counter as shown in Figure, design and draw a counter to generate the following repeating sequences $2$ to $14$ repeatedly for a free running clock. If the circuit happens to enter any of the states $15$ or $0$ or $1,$ what are the next states of your circuit?