Question

Which of the following law(s) is/are included in Boolean algebra?

• A. Commutative Law
• B. Associative Law
• C. Distributive Law
• D. All of the above

Answer 1

The correct option is D All of the above

Boolean Algebra is a system of mathematics based on logic that has its own set of rules or laws which are used to define and reduce Boolean expressions.

Let $A,B,C$ be three variables.

According to the commutative Law:

$A+B=B+A$

$A.B=B.A$

According to the Associative Law:

$A+(B+C)=(A+B)+C$

$A.(B.C)=(A.B).C$

According to the Distributive Law:

$(A+B).(A+C)=A.A+A.C+B.A+B.C$