GATE EE 2015 Set 2 — 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 / -0.67MediumMUX, DEMUX, DecodersDigital Logic CircuitsAnalog & Digital Electronics
Analog & Digital Electronics → Digital Logic Circuits → MUX, DEMUX, Decoders
Last updated
Question
A Boolean function is to be implemented using an multiplexer ( is MSB). The inputs are connected to the select inputs of the multiplexer respectively.
Which one of the following options gives the correct inputs to pins 0, 1, 2, 3, 4, 5, 6, 7 in order?
Which one of the following options gives the correct inputs to pins 0, 1, 2, 3, 4, 5, 6, 7 in order?
Correct answer
(B) D, 1, D, 1, 1, 1, D, D
Solution
The function is given in maxterm form: . This means for minterms and for all other minterms.
With as select lines, we determine the input for each pin based on :
With as select lines, we determine the input for each pin based on :
- Pin 0 (): Minterms 0 () and 1 (). Thus, input is .
- Pin 1 (): Minterms 2 () and 3 (). Thus, input is .
- Pin 2 (): Minterms 4 () and 5 (). Thus, input is .
- Pin 3 (): Minterms 6 () and 7 (). Thus, input is .
- Pin 4 (): Minterms 8 () and 9 (). Thus, input is .
- Pin 5 (): Minterms 10 () and 11 (). Thus, input is .
- Pin 6 (): Minterms 12 () and 13 (). Thus, input is .
- Pin 7 (): Minterms 14 () and 15 (). Thus, input is .
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 …