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Question

For the sequential circuit using three J-K flip flops and one AND gate shown below, output of the circuit becomes 1 after every N clock cycles. The value of N is______.


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Solution

Let initially output is 1

(J0=1,K0=1,J1=¯Q2,K1=1,J2=Q1,K2=1)
Then
CLK Q0 Q1 Q2 Q+0 Q+1 Q+2 J+0 K0 J1 K1 J2\ K2 Z
Initially 0 0 0 1
1 1 1 0 1 1 0 1 1 1 1 0 1 0
2 0 0 1 0 0 1 1 1 1 1 1 1 0
3 1 0 0 1 0 0 1 1 0 1 0 1 0
4 0 1 0 0 1 0 1 1 1 1 0 1 0
5 1 0 1 1 0 1 1 1 1 1 1 1 0
6 0 0 0 0 0 0 1 1 0 1 0 1 1


It is mod - 6 counter, so output Z will be 1 after every 6th clock pulse.

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