Computer Sciences > GATE 2026 SET-1 > Sequential Circuits
Consider a 2-bit saturating up/down counter that performs the saturating up count when the input P is 0, and the saturating down count when P is 1. The Next State table of the counter is as shown below. The counter is built as a synchronous sequential circuit using D flip-flops.
Which one of the following options corresponds to the expressions for the inputs of the D flip-flops, D1 and D0?
A
D1 = PQ1 + P̄Q0 + Q10    D0 = PQ0 + P̄Q1 + Q10
B
D1 = P̄Q1 + P̄Q0 + Q1Q0    D0 = P̄Q̄0 + P̄Q1 + Q10
C
D1 = P̄Q1 + P̄Q0 + Q1Q0    D0 = P̄Q0 + P̄Q1 + Q10
D
D1 = PQ̄1 + P̄Q0 + Q1Q0    D0 = PQ̄0 + P̄Q1 + Q10

Correct : d

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