If all the flip-flops were reset to 0 at power on, what is the total number of distinct outputs (states) represented by PQR generated by the counter?
Topic-wise GATE CS PYQs with verified steps
GATE CSE 2011 · Q51
Time
Select one answerSingle correct
Solution
Official answer: B) 4
Combinational and Sequential CircuitsStarting with the initial state at power-on:
State : Evaluating the next-state logic gives the next state as (or the sequence of states generated by the counter).
Continuing the state transitions until the states repeat:
State 1:
State 2:
State 3:
State 4:
After 4 states, the counter cycles back to the initial state , producing a cycle of length 4.
Therefore, the total number of distinct states generated by the counter is 4, which corresponds to option (B).
Try the question first, then check your work.
Examiner trap
Trace the state transitions step-by-step starting from until a previously visited state is repeated.
This Combinational and Sequential Circuits previous year question is Q51 of the GATE CSE 2011 paper. Find more GATE CSE PYQs on Combinational and Sequential Circuits in Digital Logic, or browse all GATE CSE PYQs.
Free diagnostic
Take the 20-minute diagnostic: the 3 topics that cost you the most marks, and a rank range. Or sit 5 related Combinational and Sequential Circuits PYQs now with no account.
An official question by email at 7 AM IST, with a link to its verified solution. Unsubscribe in one click.
Combinational and Sequential Circuits has 32 GATE CSE PYQs across 22 papers from 2011 to 2026. 14 of them are 2-mark MCQs like this one, and GATE CSE 2011 has 3.
How GATE tests Combinational and Sequential CircuitsIndependent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.