We want to design a $3-$bit synchronous binary counter using JK F$/$F$.$ The counter should be countable starting from $000$ to $111.$

a$)$ When the output of the counter is denoted by A$2,$ A$1,$ and A$0,$ clearly describe the completion condition of each output value when each output value should be completed.

b$)$ Design a synchronous binary counter using the composition condition of a$).$ Use 'count enable' and clk as input signals.

Please solve both of questions.

When designing, I would appreciate it if you could write it by hand or use an easy$-$to$-$recognize program. Thank you!,