\(( X + Y + Z..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep."> \(( X + Y + Z..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep." /> \(( X + Y + Z..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep." />

Question 94

Computer Awareness Boolean algebra Easy

Which of the following is equivalent to the expression<span class="math-tex">\(\left( {\overline {\overline {X + Y} + \bar Z} } \right)\)</span>?

(A) <p>(X̅ + Y̅)Z</p>
(B) (X + Y)Z̅&nbsp;
(C) (X̅ + Y̅)Z̅&nbsp;
(D) (X + Y)Z
✓ Correct Answer: Option D Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Apply De Morgan's law to the outer bar: \(\overline{\overline{X+Y} + \bar{Z}} = \overline{\overline{X+Y}} \cdot \overline{\bar{Z}} = (X + Y) \cdot Z\)

Answer: (D) (X + Y)Z

Practice Similar Boolean algebra Questions

Reinforce your conceptual grasp with related questions from MAH MCA CET 2015:

Q21 The number of bit strings of length 10 that contain either five...
Solve →
Q93

Given f1 , f3 and f in canonical sum of products...

Solve →
Q95 (p → q v r, q → s, r → s  is logically...
Solve →
Q98 The minimum number of NAND gates required to realize AB + AB'C + AB'C' is
Solve →
Q100 The number of Boolean functions possible with n binary variables is equal...
Solve →
Full-Length Test Series

Prepare for MAH MCA CET 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 →