Question 99

Computer Awareness Boolean algebra Easy

Simplify the Boolean expression \(A \cdot (B+C)\)

(A) \(AB+AC\)
(B) \(A+B\)
(C) \(A-B-C\)
(D) \(AB-AC\)
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Using the distributive law of Boolean algebra, which states that \(X \cdot (Y+Z) = (X \cdot Y) + (X \cdot Z)\), we can simplify the expression. Given expression: \(A \cdot (B+C)\) Applying the distributive law: \((A \cdot B) + (A \cdot C)\) or simply \(AB+AC\).

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