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Distributive law states that:
- (a)$A + B \cdot C = (A + B) \cdot (A + C)$
- (b)$A + (A \cdot B) = A$
- (c)$A \cdot (B + C) = (A \cdot B) + (B \cdot C)$
- (d)$A + B \cdot C = A \cdot B + A \cdot C$
Answer
Answer
Official answer keyCorrect option: (a)
Answer: (a) $A + B \cdot C = (A + B) \cdot (A + C)$
The Distributive Law has two dual forms: $A \cdot (B+C) = A \cdot B + A \cdot C$ (AND over OR) and $A + (B \cdot C) = (A+B) \cdot (A+C)$ (OR over AND). Option (a) is the second, correct form.
From ISC 2025 Specimen Computer Science Paper 1, question 1(iv).