Design a synchronous counter that counts the sequence as below:

a → b → c → d → e → f …

To find out the digits corresponding to the variables a, b, c, d, e, f, you need to re-arrange your registration number in the following manner.

For example, your registration no is FA19-BCS-290, your counter will start from the least value in your registration no, then move to higher hex digits one by one (no-repetition) such as in this case your counter will have this sequence, (Replace S with A and P with B)

0 → 2 → 9 → 10 → A → B → E→ F

Make sure your counter displays outputs within the range 6-10 (in the above case the counter displays 8 outputs (from 0 → F))

Use any suitable flip flops to design the above-mentioned counter out of JK- FF, D- FF or T- FF.