NIELIT 2021 Dec Scientist B - Section B: 50

Question

When factorizing the Boolean equation $ \text{Y} = \text{A} \overline {\rm B} + \text{AB},$ the result will be :

• A. $\text{A} \overline {\rm B}$
• B. $\text{AB}$
• C. $\text{A}$
• D. $\text{B}$

Comments

Answer:A

Answer 1

Given boolean expression:

$Y=A\bar B+AB$

$Y=A*(B+\bar B) $

$Y=A*1  [A+\bar A=1]$

$Y=A$

So option $(C)$ is correct.

Answer 2

Ans is (C): A

A (B + $\bar{B}$) = A(1) = A