GATE EE 2017 Set 2 — Question 10
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33EasyBoolean Algebra & GatesDigital Logic CircuitsAnalog & Digital Electronics
Analog & Digital Electronics → Digital Logic Circuits → Boolean Algebra & Gates
Last updated
Question
For a 3-input logic circuit shown below, the output can be expressed as
Correct answer
(C) Q + R
Solution
Trace the circuit gate by gate.
1.The inverter on the line produces .
2.Upper NAND has inputs and :
3.Lower NAND has inputs and :
4.The line is also taken straight across, so the output gate is a 3-input NAND with inputs , and :
Simplify the product term:so andThe output is independent of , which is why no option contains except the distractors.Answer: (C) 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 EE 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 Digital Logic Circuits
2026 Set 1 Q33In the linear regulator circuit shown, the base to emitter voltage of the BJT is…2026 Set 1 Q37In the circuit shown, the open loop gain of the operational amplifier is . What is the…2026 Set 1 Q45The digital circuit shown has 3 inputs (, , and ). [figure] The simplified logical…2026 Set 1 Q46The MOSFET switches shown in the circuit are ideal. [figure] Which of the following is the correct…2026 Set 1 Q61Consider the circuit shown. Assume that the diode () is ideal. Given …