Question

Simplify the following expression with A, B, C three variables, \( F(A, B, C) = \Sigma(1, 3, 5, 7) \)

• A. \( \overline{A}C + AB \)
• B. A
• C. B
• D. C

Hint:

When simplifying Boolean expressions, look for common terms in the minterms and use Boolean algebra rules to simplify them to the simplest form.

Answer 1

The Correct Option is D

The given Boolean expression is simplified by writing the minterms for the given indices in the truth table and grouping them for simplification. After performing the simplification, the expression reduces to \( C \), which is the simplest form. Therefore, the correct answer is option (4).