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Design a synchronous up/down 2-bit counter. The circuit has a single input (X), when X=1, the...

Design a synchronous up/down 2-bit counter. The circuit has a single input (X), when X=1, the counter counts up (i.e. 0,1,2,3,0,1.....), when X=0, the counter counts down (i.e. 3,2,1,0,3,2,....). Show work, including a next-state table and circuit diagram.

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