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Design a synchronous sequential circuit that has a single serial input x. If the inpur x=0 the circuit will count 0,6,5,4,7,1,2,3 then repeat. If the

Design a synchronous sequential circuit that has a single serial input x. If the inpur x=0 the circuit will count 0,6,5,4,7,1,2,3 then repeat. If the input x=1 then the circuit will count 4,3,2,1,5,6,7,0 then repeat. Implement using 4 variable K-maps and SR latchs. Please show the truth table and the 4 varable k-maps along with the circuit.

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