Design a counter for the following binary sequence: 0,4,5,3,1,6,2,7 and repeat.Use JK flip-flops | IIIT-Hyderbad

Question

Design a counter for the following binary sequence: 0,4,5,3,1,6,2,7 and repeat.Use JK flip-flops

Comments

The procedure would be as follows:

1. Get the state diagram.
2. Use the excitation table of JK ff to get the values of J-K for each state (A,B,C) respectively.
3. Use a k-map to simplify J-K in terms of Qa, Qb and Qc.

Answer 1

Please see the solution in the image below. putting image because lot of editing required.

Comments

K₂ = Q₀₊Q₁                          (not Q₀+Q₂Q₁)

because Q₂Q₁ will not be the prime implicant , it can further immersed into larger subcube. Isn't it?

Answer 2

3 ,bcz 8 distinct states