Boolean Laws — Commutative property in OR and AND: In what way does the order of operands affect the result when combining two variables?

Introduction:
Commutativity is a bedrock law in Boolean algebra. It guarantees that operands can be swapped without altering the outcome for both OR and AND operations. This law simplifies algebraic manipulation and circuit realization.

Given Data / Assumptions:

• Boolean domain with variables A and B
• Operators: OR (+) and AND (*)

Concept / Approach:
The commutative law states A + B = B + A and A * B = B * A. Because gate implementations also reflect these identities, physical circuits behave the same regardless of operand order at the input pins (assuming symmetric devices).

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