Design a $3-$bit counter which counts in the sequence:

$001,100,101,111,110,010,011,001,...($a$)$ Use D flip$-$flops.

$($b$)$ Use J$-$K flip$-$flops. $$

C$)$Use T flip$-$flops.

$$d$)$Use S$-$R flip$-$flops.

$$e$)$What will happen if the counter of $($a$)$ is started in state $000?$