Let k = 2n. A circuit is built by giving the output of an n-bit binary counter as input to an n-to-2n bit decoder. This circuit is equivalent to a
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GATE CSE 2014 Set 2 · Q7
Time
Select one answerSingle correct
Solution
Official answer: C) k-bit ring counter.
Combinational and Sequential CircuitsAn -bit binary counter has distinct states .
An -to- decoder takes inputs and activates exactly one of its output lines corresponding to the binary value of the input.
As the -bit binary counter cycles through all its counts, the decoder activates output line , then line , , up to line , and then wraps around to line . At any point in time, exactly one of the lines is active (HIGH), and this active state rotates sequentially across all outputs.
This behavior matches a -bit ring counter, which consists of flip-flops with a single circulating active bit (1).
Therefore, (C) is the correct option.
Try the question first, then check your work.
Examiner trap
Consider the state sequence of the output lines when the counter increments sequentially.
This Combinational and Sequential Circuits previous year question is Q7 of the GATE CSE 2014 Set 2 paper. Find more GATE CSE PYQs on Combinational and Sequential Circuits in Digital Logic, or browse all GATE CSE PYQs.
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Combinational and Sequential Circuits has 32 GATE CSE PYQs across 22 papers from 2011 to 2026. 8 of them are 1-mark MCQs like this one, and it is the only one in GATE CSE 2014 Set 2.
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.