ISRO Electrical Engineering (EE) 2015 - Question 20

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A three stage Johnson counter ring in figure is clocked at a constant frequency of fc from starting state of Q0 Q1 Q2 = 101. The frequency of output Q0 Q1 Q2 will be [Figure description: Three JK flip-flops in a row (outputs Q0, Q1, Q2 with complements), all driven by a common CLK line. Each flip-flop's J input is connected to the Q output of the previous stage's... specifically J1/K1 inputs are connected from the previous stage's Q and Q-bar outputs (J from Q, K from Q-bar) for stages 2 and 3, and the last stage's outputs Q2-bar and Q2 are fed back along a long wire over the top to the first flip-flop's J and K inputs (J0 from Q2-bar, K0 from Q2), forming a twisted-ring (Johnson) counter.]

  • A. fc / 2
  • B. fc / 6
  • C. fc / 3
  • D. fc / 8

Answer: B. fc / 6

Explanation: A 3-stage Johnson counter has 2n = 6 states, so output frequency is fc/6.

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