IGNOU BPHET 143 2026 - Using the Boolean laws and theorems prove the following identities:&nb

Question

Using the Boolean laws and theorems prove the following identities:
i. $\overline{(A + \overline{A})} = 0$
ii. $\overline{(\overline{A} + \overline{A})} = A$
iii. $A + (A\overline{B}C\overline{D}) = A$
iv. $\bar{A} \bullet \overline{(A B C D)} = \bar{A}$
v. $(A + B) \bullet (B + C) = AC + B$

19 Jan 2026

Answer :

Word Count : 247

Boolean algebra provides a systematic method for simplifying and proving logical expressions used in digital and analog circuits and instrumentation. The validity of Boolean identities can be established by applying fundamental laws and theorems. For the first identity, ((A + \overline{A}) = 1). According to the complement law of Boolean algebra, a variable ORed with its complement always results

_________ __________ ____ _____ __________ __________ __________ ___ __________ ________ _______ ___.
_________ ____ ____ ______ ________ _________ ___ _______ ________.
____ ____ ___ _____ ______ ________ __________ ___ _____.
_______ _________ _________ _________ _____ _______ ______ ____ ____ _____ _______ ________.
___ ______ _____ ________ __________.
_______ ___ ________ __________ ___ ___.
_______ _______ ___ ____ ____ ____ _______ _____ ___.
___ _______ ________ ______ ________ _____ __________ ______ _____ ________ __________.
______ _________ __________ ____ _____.
_________ _____ ______ ______ ___ ______ ____ _________.
_____ _________ ______ _________ ______ ________ _____.
_________ ___ ____ _____ ____ __________ _______ _______ ___ __________.
___ ___ ___ ______ _________ ____ ________ _________ _______ ________ _________.
_____ ____ ____ _______ _____ ____ ____ ________ _____.
_______ _________ _____ ____ ______ ________.
______ _____ ____ _____ _______ _______ __________ _________ ___ ____ ________.
_________ _____ _______ _______ _________ _______ ___ _____ __________ ________ _________.
__________ ___ ________ _____ _________ _______ __________ ____ ______ __________ _____.
___ ___ ______ ________ ________ ___ _______.
________ _________ _____ _______ ___ _______ __________ __________ _____ ____.
________ _______ ___ _____ ______ _______ ________ ____ _______.

IGNOU ACADEMY

Your IGNOU journey, made easier.

Solved Assignments
Study Notes
Guess Papers
Question Papers

Call Us WhatsApp

STUDY • PREPARE • SUCCEED

Skip in 10

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers