GATE EE 2017 Set 1 — Question 36
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67EasyK-Map MinimizationDigital Logic CircuitsAnalog & Digital Electronics
Analog & Digital Electronics → Digital Logic Circuits → K-Map Minimization
Last updated
Question
The output expression for the Karnaugh map shown below is
Correct answer
(D) BD + ABC
Solution
1.Identify the 1s in the K-map:
The 1s are located at coordinates: , , , , and .2.Form groups:
- Group 1 (Quad): The cells , , , and form a quad. In this group, is constant at 1 and is constant at 0. The expression for this quad is .
- Group 2 (Pair): The cells and form a pair. In this group, is constant at 1, is constant at 1, and is constant at 1. The expression for this pair is .
The final simplified expression is . According to the official answer key, this corresponds to option D.
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 ). The simplified logical expression for…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 …