Design a $3-$bit synchronous counter using logic gates and JK flip flops. The circuit should output your number, in reverse order, without repetition $($printing the same number only once$)$ in MOD $8.$

Couple of examples are given below:

INPUT OUTPUT

$2024510123->3,2,1,0,5,4$

$2020510001->1,0,5,2$

$1987510156->6,5,1,0,7$

Draw state diagram$($s$),$ state table$($s$),$ truth table$($s$),$ Karnaugh map$($s$)$ and logic diagram$($s$)$ of the design