Consider a 2-bit saturating up/down counter that performs the saturating up…
2026
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. 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?
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Show answer & explanation
The correct option is B. By analyzing the state table for the 2-bit saturating up/down counter: For D1 (Q1+), the minterms are 1, 2, 3, 7. Simplifying yields D1 = P'Q1 + P'Q0 + Q1Q0. For D0 (Q0+), the minterms are 0, 2, 3, 6, 7. Simplifying yields D0 = Q1 + P'Q0'. Option B matches these derived expressions.
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