Use JK Flip$-$Flops to create a counter with the following sequence.

It must have input U for UP counting and D for Down counting.

UP: $0,3,2,7,5,4,6,1,0$ DOWN: $0,1,6,4,5,7,2,3,0.$

steps $($a$)$ through $($h$)$ given on the instructions page. Consult Guidelines $1-7,$ in section $14\mathrm{.}3$ in your textbook as well.

$($a$)$ State diagram $($each state named and then designated by binary number,

$($b$)$ State whether this is a Mealy Machine or Moore Machine

$($c$)$ Next$-$state Tables, $($columns: Present State, Next State, Inputs, Outputs$).$

$($d$)$ Flip$-$flop transition tables $($for flip$-$flop chosen$).$

$($e$)$ Circuit excitation tables,

$($f$)$ Karnaugh maps and Logic Equations for flip$-$flop inputs

$($g$)$ Logic circuit implementation and circuit diagram. Verification.

$($h$)$ Go back and write input and output $(0$ or $1)$ on the arrows or the circles as appropriate.