A tautology is a Boolean formula that is... - Solved | MCA Prep

Home Rankers PYQ Blogs Pricing About Contact

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

✓ Correct Answer: Option C Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

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

← Previous Question Our Rankers Next Question →

Practice Similar Boolean algebra Questions

Reinforce your conceptual grasp with related questions from NIMCET 2013:

Q91 All digital circuits can be realized by using only

Q92 The Boolean function a + (a̅ b) is equivalent to

Q100 The minimum number of bits to represent a character from ASCII code set is

Q93 Which of the following circuit is used as a memory device in computers?

Q94 Convert the Hexadecimal number 4DF to its octal equivalent

Full-Length Test Series

Prepare for NIMCET Under Real Exam Conditions

Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.

Start Free Mock Test Series →