LIVE Course for free

Rated by 1 million+ students
Get app now
JEE MAIN 2023
JEE MAIN 2023 TEST SERIES
NEET 2023 TEST SERIES
NEET 2023
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
236 views
in Electronics by (110k points)
closed by
Simplify Boolean function represented in sum of product of min-terms,F(x, y, z) = ∑(0, 2, 4, 5, 6)
1. z’ + xy’
2. x’ y’ z’ + zxy + xy’z’
3. xyz + x’ + y’ + z’
4. xy + yz + zx

1 Answer

0 votes
by (59.9k points)
selected by
 
Best answer
Correct Answer - Option 1 : z’ + xy’

Sum of product:

F(x, y, z) = x̅ y̅ z̅ + x̅ y z̅ + x y̅ z̅  + x y̅ z + x y z̅ 

x̅ z̅ + x y̅ + x y z̅ 

x̅ z̅ + x(y z̅  + y̅)

Using distributive law

= x̅ z̅ + x(y + y̅) (y̅ + z̅)

Using distributive law again:

= x̅ z̅ + x y̅ + x z̅ 

= z̅ + xy̅ 

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...