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Design a three-bit counter using D flip-flops that has the following characteristics: When the value of an input x is 0, the counter counts down in standard order. When the value of x is 1, the counter counts up in standard order a. First, complete the state table shown below Present State Next State Excitation 0 0 0 0 0 0 1 0 0 0 0 0 0 b. Next, derive the logic equations using the Karnaugh maps shown below y2y3 y2y3 00 01 11 10 00 01 11 10 00 01 11 10 01 01 01 10 10 10

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