CUET PG 2026 — Computer PYQ

Solution

To find the complement of an expression, we apply a bar over the entire expression and simplify using Boolean laws.

1. Set up the expression:

The given expression is $\overline{A+B}$. Its complement is:

2. Apply the Double Involution Law:

The Double Involution Law states that the complement of a complement of a variable (or expression) is the variable itself:

3. Simplify the expression:

Applying this law to our problem:

Note on De Morgan's Law (for comparison):

While not strictly needed to solve this specific "double bar" problem, De Morgan's laws are often used in these topics:

• $\overline{A+B}=\bar{A}\cdot \bar{B}$

• $\overline{A\cdot B}=\bar{A}+\bar{B}$

Final Answer:

The correct option is (c) $A+B$.