Design a 3-bit counter with one external input. Using three J-K flip-flops according to sequence shown at below. Input=0, Count Sequence is 1->5->7 (repeat), push the undesired states to 1 Input= 1, Count Sequence is 1->6->2 (repeat), push the undesired states to 1 i) State transition diagram ii) State transition table iii) Simplification using K-Map iv) Construct a circuit.

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