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Digital Logic · Boolean Algebra and Minimization
Official IIT answer key · IIT Kharagpur · Audited Aug 2026
GATE CSE 2014 Set 3 Q55 · 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 →Let denote the Exclusive OR (XOR) operation. Let ‘1’ and ‘0’ denote the binary constants. Consider the following Boolean expression for F over two variables P and Q: F(P, Q) = ((1 P) (P Q)) ((P Q) (Q 0)) The equivalent expression for F is
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