Question 95

Computer Awareness Boolean algebra Easy

A tautology is a Boolean formula that is always true. Which of the following is a tautology?

(A) x
(B) (x + x̅)y
(C) x + y̅ + x̅
(D) (xy) + x̅
View Dynamic Solution & Explanation
Correct Solution: Option C

Step-by-step Solution:

\( x + \overline{y} + \overline{x} \)
= \( x +\overline{x} + \overline{y} \)
= \( 1 + \overline{y} \) = 1 So, it is always true