F1 Neha.B 11-02-21 Savita D13
A 4 × 1 MUX used to implement a 3-input Boolean function is as shown above. The Boolean function F(A, B, C) implemented is:

This question was previously asked in
ESE Electronics 2010 Paper 2: Official Paper
View all UPSC IES Papers >
  1. F(A, B, C) = ∑(1, 2, 4, 6)
  2. F(A, B, C) = ∑(1, 2, 6)
  3. F(A, B, C) = ∑(2, 4, 5, 6)
  4. F(A, B, C) = ∑(1, 5, 6)

Answer (Detailed Solution Below)

Option 1 : F(A, B, C) = ∑(1, 2, 4, 6)
Free
ST 1: UPSC ESE (IES) Civil - Building Materials
6.3 K Users
20 Questions 40 Marks 24 Mins

Detailed Solution

Download Solution PDF

Calculation:

F = A B̅ C̅ + A̅ B̅ C + 1. B C̅ + 0.B C

= A B̅ C̅ + A̅ B̅ C + B C̅ + 0

By forming the k-map, we get

F31 Neha B 1-4-2021 Swati D1

F(A, B, C) = ∑ (1, 2, 4, 6)
Latest UPSC IES Updates

Last updated on May 28, 2025

->  UPSC ESE admit card 2025 for the prelims exam has been released. 

-> The UPSC IES Prelims 2025 will be held on 8th June 2025.

-> The selection process includes a Prelims and a Mains Examination, followed by a Personality Test/Interview.

-> Candidates should attempt the UPSC IES mock tests to increase their efficiency. The UPSC IES previous year papers can be downloaded here.

Get Free Access Now
Hot Links: real teen patti teen patti 51 bonus teen patti joy 51 bonus teen patti master real cash