Question

Which of the examples below expresses the distributive law of Boolean algebra?

A. (A+B) + C = A + (B+C)
B.A.( B C) = (A.B) + C
C.A.(B+C) = (A. B) + ( A C )
D. A+(B+C) = (A. B)+(AC)

Answer 1

The distributive law in Boolean algebra states that A.(B+C) is equivalent to (A.B) + (A.C). Option C is the answer.

Step-by-step explanation:

Option C correctly expresses this relationship, demonstrating the distribution of A across the terms (B+C) on the left side and distributing A to both B and C on the right side.

In contrast, options A, B, and D do not accurately represent the distributive law. Option A incorrectly applies parentheses, altering the expression's meaning. Option B misuses multiplication and addition in a way that does not align with the distributive law. Option D combines addition and multiplication in a manner inconsistent with the distributive property.

Option C is the answer.