The simplified SOP (Sum of Product) form of the Boolean expression (P + Q + R) . (P + Q + R) . (P + Q + R) is
Topic-wise GATE CS PYQs with verified steps
GATE CSE 2011 · Q14
Time
Select one answerSingle correct
Solution
Official answer: B) (P + Q . R)
Boolean Algebra and MinimizationGiven the Boolean expression in POS form:
Using the distributive law on the first two terms:
Now multiplying this with the third term:
Using the distributive law again:
Thus, the simplified SOP form is , which corresponds to option (B).
Try the question first, then check your work.
Examiner trap
Use the Boolean algebra identity to combine the first two maxterms.
This Boolean Algebra and Minimization previous year question is Q14 of the GATE CSE 2011 paper. Find more GATE CSE PYQs on Boolean Algebra and Minimization in Digital Logic, or browse all GATE CSE PYQs.
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Boolean Algebra and Minimization has 36 GATE CSE PYQs across 23 papers from 2011 to 2026. 13 of them are 1-mark MCQs like this one, and GATE CSE 2011 has 2.
How GATE tests Boolean Algebra and MinimizationIndependent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.