Question: Design a synchronous sequential circuit that will count through the sequence ( 0 , 2 , 4 , 6 ) when its control

Design a synchronous sequential circuit that will count through the sequence \(0,2,4,6\) when its control input X is 0, and through the sequence \(6,4,2,0\) when \( X=1\). The circuit should return to the 0 state if it finds itself in an invalid state.
a) Draw a state diagram for the ciecuit.
b) Draw a state transition table for the circuit.
c) Implement the counter with JK flip-flop.
Design a synchronous sequential circuit that will

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