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Digital Logic · Boolean Algebra and Minimization
Official IIT answer key · IIT Kanpur · Audited Aug 2026
GATE CSE 2015 Set 3 Q44 · MCQ · 2 marks
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Topic notes
Boolean algebra and minimization in GATE CS tests algebraic identities, canonical form transformations, K-map minimization (SOP/POS with and without don't-cares), functional completeness, and the structural properties of logic operators like XOR, XNOR, and majority functions. Early years primarily featured 1-mark or 2-mark MCQs focusing on single-step simplification or finding the minimal expression. Recent years (2021–2026) show a marked shift towards multi-select questions (MSQs) testing multiple valid minimal forms, set-theoretic minterm algebra across interconnected logic gates, and deep property verification of custom or majority Boolean functions.
Full Boolean Algebra and Minimization guide →Given the function F = P' + QR, where F is a function in three Boolean variables P, Q and R and P' = !P, consider the following statements. (S1) F = (4, 5, 6) (S2) F = (0, 1, 2, 3, 7) (S3) F = (4, 5, 6) (S4) F = (0, 1, 2, 3, 7) Which of the following is true?
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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.