Design a synchronous counter that counts the sequence asbelow:

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 thefollowing manner.

For example, your registration no is 290, your counter willstart from the least value in your registration no, then move tohigher hex digits one by one (no-repetition) such as in this caseyour counter will have this sequence, (Replace S with A and P withB)

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-mentionedcounter out of JK- FF, D- FF or T- FF.

Registration number is 177