GATE CS 2021 Set 1 — Question 38

MCQ+2 / -0.67MediumCounters (Sync, Async)Sequential CircuitsDigital LogicFlip-Flops (JK, T, D)

Digital Logic → Sequential Circuits → Counters (Sync, Async)

Last updated 5 September 2026

Question

Consider a 3-bit counter, designed using T flip-flops, as shown below: Assuming the initial state of the counter given by PQR as 000, what are the next three states?

T_P = R, \quad T_Q = P', \quad T_R = Q'

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T_P = R, \quad T_Q = P', \quad T_R = Q'

Present $PQR$	$T_P = R$	$T_Q = P'$	$T_R = Q'$	Next $PQR$
000	0	1	1	011
011	1	1	0	101
101	1	0	1	000

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