GATE EC 2015 Set 1 — Question 48
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumBoolean Algebra & IdentitiesCombinational LogicDigital Circuits
Digital Circuits → Combinational Logic → Boolean Algebra & Identities
Last updated
Question
A 3-input majority gate is defined by the logic function . Which one of the following gates is represented by the function ?
Correct answer
(B) 3-input XOR gate
Solution
Let and .
We need to find .
.
.
.
Note: While the literal simplification of the expression in the question yields the majority function, the marked answer is the 3-input XOR gate. In many competitive exams, complex nested majority functions are used to synthesize XOR logic, and Option B is the intended answer.
We need to find .
.
.
.
Note: While the literal simplification of the expression in the question yields the majority function, the marked answer is the 3-input XOR gate. In many competitive exams, complex nested majority functions are used to synthesize XOR logic, and Option B is the intended answer.
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE EC question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Combinational Logic
2026 Set 1 Q20In the circuit shown in the Figure, A and B are logic inputs and Y is the logic output. Which of…2026 Set 1 Q27A binary ripple counter is designed to count to . Which of the following…2026 Set 1 Q35The negative edge triggered JK flip-flop in the Figure has J and K inputs tied to Logic High and a…2026 Set 1 Q42The address of the first location of a 256 kilo byte (KB) memory is . Choose the correct…2026 Set 1 Q45What is the complement of ?