GATE | GATE-CS-2014-(Set-3) | Question 65

GATECS2014Q61

The above sequential circuit is built using JK flip-flops is initialized with Q2Q1Q0 = 000. The state sequence for this circuit for the next 3 clock cycle is
(A) 001, 010, 011
(B) 111, 110, 101
(C) 100, 110, 111
(D) 100, 011, 001


Answer: (C)

Explanation: JK ff truth table—

j k Q
0 0 Q0
1 0 1
0 1 0
1 1 Q0’

Initially Q2Q1Q0=000



Present state FF input                   Next state

Q2 Q1 Q0 J2 K2 J1 K1 J0 K0 Q2 Q1 Q0
0 0 0 1 0 0 1 0 1 1 0 0
1 0 0 1 0 1 0 0 1 1 1 0
1 1 0 0 0 1 0 1 1 1 1 1
                       

So ans is ( C) part.

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