GATE CS 2026 Set 1 — Question 37

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MCQ+2 / -0.67MediumCounters (Sync, Async)Sequential CircuitsDigital LogicFSM Design

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

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Question

Consider a 2-bit saturating up/down counter that performs the saturating up count when the input PP is 0, and the saturating down count when PP is 1. The Next State table of the counter is as shown. The counter is built as a synchronous sequential circuit using D flip-flops.
Input PPCurrent State Q1Q_1 Q0Q_0Next State Q1+Q_1^+ Q0+Q_0^+
00 00 1
00 11 0
01 01 1
01 11 1
10 00 0
10 10 0
11 00 1
11 11 0
Which one of the following options corresponds to the expressions for the inputs of the D flip-flops, D1D_1 and D0D_0?
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