(a) Design a synchronous counter using J-K FFs that has the following sequence: 000, 010, 101, 110, and repeat. The undesired (unused) states 001, 011, 100, and 111 must always go to 000 on the next clock pulse.
(b) Redesign the counter of part (a) without any requirement on the unused states; that is, their NEXT states can be don’t cares. Compare with the design from (a).
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