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Previous Year Question (PYQs)



A. If $(12P)_3 = (123)_p$, then value of $P$ is infeasible.
B. The simplified sum of product form of the Boolean expression is
$(P+\bar Q+\bar R)(P+\bar Q+R)(P+Q+\bar R)$
C. The minimum number of D flip-flops needed to design a mod-$(258)$ counter is $8$.

Choose the correct answer from the options given below:





Solution

A: Base-3 number $(12P)_3$ implies $P<3$, but $(123)_p$ implies base $p>3$ ⇒ infeasible → True
B: Given expression is not in simplified SOP form → False
C: For mod-$258$, $2^8=256<258$, so minimum flip-flops required = 9 → False


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