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GATE CSE 2026 Session 2 Q16: Which identity is not a law of Boolean algebra

Question

Which one of the following options is not a property of Boolean Algebra?

Note: + is OR operation, . is AND operation, and ′ is NOT operation

Try it: multiple choice: exactly one correct option

Select one option
Wrong answer costs 1/3 mark in GATE.
Show answer and explanation

Answer: B (official GATE 2026 final answer key)

Concept used: Complement laws: a+a′=1a + a' = 1 and a⋅a′=0a \cdot a' = 0.

First step: Substitute a=1a = 1 into each identity and check whether both sides agree.

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Source: official GATE 2026 Session 2 CS question paper and final answer key, organised by IIT Guwahati. Question paper · Answer key