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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Consider the Boolean function in a CPU control unit:
\[
Y = (A + B\cdot \overline{C}) \cdot (\overline{A}\cdot B + C)
\]
Solution
Given: $Y = (A + B\overline{C}).(\overline{A}B + C)$Single-Step Smart Trick (Pair Matching Rule):
Multiply only the terms that can logically combine:
$A$ pairs only with $C$ → gives $AC$
$B\overline{C}$ pairs only with $\overline{A}B$ → gives $\overline{A}B\overline{C}$
So directly:
$Y = AC + \overline{A}B\overline{C}$
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