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Design a three-bit counter like circuit controlled by the input w. If w = 1, then...

Design a three-bit counter like circuit controlled by the input w. If w = 1, then the counter adds 2 to its contents, wrapping around if the count reaches 8 or 9. Thus if the counter reaches 8 or 9, then the next state becomes 0 or 1, respectively. If w = 0, then the counter subtracts 1 from its contents, acting as a normal down-counter. Using D-FF in your circuit, find the input equations for the FF.

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