Aspire's Library
A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Consider the Boolean expression $ X = \overline{(A + B) \cdot C}$ over two Boolean variables $A$ and $B$. Which one of the following Boolean expressions is equivalent to the given Boolean expression $X$?
Solution
We are given the Boolean expression:$X = \overline{(A + B)\cdot C}$
First apply De-Morgan’s Law:
$\overline{(A + B)\cdot C} = \overline{(A + B)} + \overline{C}$
Again apply De-Morgan’s Law on
$\overline{(A + B)}$= $ \overline{A}\cdot \overline{B}$
So,
$X = (\overline{A}\cdot \overline{B}) + \overline{C}$
This matches option (2):
$\overline{A\cdot B} + \overline{B\cdot C}$
This matches option (2):
$\overline{A\cdot B} + \overline{B\cdot C}$
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Ask Your Question or Put Your Review.
Commented Feb 11 , 2026
0 Upvote 0 Downvote Reply
Your reply to this comment :