NIMCET 2013 — Computer PYQ

Q: How do I solve NIMCET 2013 Computer questions?

Practice NIMCET 2013 Computer previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

Q: What is the difficulty level of NIMCET Computer questions?

NIMCET Computer questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Q: Are NIMCET previous year papers available for free?

Yes. Mathem Solvex provides free access to NIMCET previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

Question

NIMCET 2013 — Computer PYQ

NIMCET | Computer | 2013

The Boolean function $a + (\bar{a}b)$ is equivalent to:

Choose the correct answer:

Explanation

1. Using the Distributive Law

The Distributive Law states that:

x + (y \cdot z) = (x + y) \cdot (x + z)

Applying this to our expression where $x = a$ , $y = \bar{a}$ , and $z = b$ :

a + (\bar{a} \cdot b) = (a + \bar{a}) \cdot (a + b)

2. Applying Basic Identities

We know from the Complement Law that a variable ORed with its complement is always equal to $1$ :

a + \bar{a} = 1

Now, substitute this back into the equation:

1 \cdot (a + b)

According to the Identity Law, any term multiplied by $1$ remains the same:

1 \cdot (a + b) = a + b