Design a 2-bit counter that, when v = 1, counts in the repeating sequence: 0, 3, 1, 2, and when v = 0, counts in the reverse direction.
(a) Construct a state diagram and state table.
(b) Implement the counter using D flip-flops. (You need not draw the logic diagram; you can stop with the equations for flip-flop inputs and circuit outputs.)
(c) Repeat problem 2(b) using JK flip-flops.