Design the following nonbinary sequence counters using the type of flipflop specified. Assume the unused states as don’t cares. Is the counter self-correcting? Justify your answer. 

(a) Counting sequence 0, 1, 3, 4, 5, 6, 7, and repeat. Use JK flip-flops.
(b) Counting sequence 0, 2, 3, 4, 6, 7, and repeat. Use D flip-flops.
(c) Counting sequence 0, 1, 2, 4, 5, 6, 7, and repeat. Use T flip-flops.