$($A$)(4$ points$)$ Given a wnichronous sequential circuit with $17$ states, the minimum number of flip$-$flops required to implement the crout is $5$ lipellopsand the number of unused states is $15$ states.

$($a$)(4$ points$)$ for a $3-$bit smehronous binary counter $($outputs Q$2,$ Q$1$ and QO$),$ with input clock frequency of $32.MH$ :$.$ the frequency of $0\mathrm{.}0$ is $16.MHz$ and the frequency of $02$ is $4MHz.$ G$.$ en the shown input waveforms of the clock signal cik and the input signaly. $($Note: Negiect propagation delmp$)$