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A 3-bit counter requires an input x such that: when x=0, the counter decrements by one (except for the case wherein the current count is

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A 3-bit counter requires an input x such that: when x=0, the counter decrements by one (except for the case wherein the current count is o, for this case the next state will be 7); and when x=1, the counter increments by one. If the expected final state exceeds the maximum count, the counter goes back to zero. a. Design and implement the counter using T flip-flop/s. b. Design the counter using JK flip-flop/s. Do not implement, just give the necessary functions (simplified). Do not include functions that are not necessary in the design process

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