Question 2 - 2 or 3 Mark Questions - Chapter 12 Class 11 - Boolean Algebra

State and verify Absorption law algebraically.

Answer:

Absorption law states that:

• A.(A+B) = A

• A+(A.B) = A

Algebraic Method for verification:

1. LHS = A.(A+B)                               

        = A.A + A.B                                     (using Distributive law)

        = A + A.B                                        (using Idempotent law)

        = A.(1+B)                                        (using Distributive law)

        = A.1                                               (using Annulment law)

        = A                                                  (using Identity law)

        = RHS

• LHS = A+(A.B)

        = (A.1) + (A.B)                                (using Identity law)

        = A.(1+B)                                        (using Distributive law)

        = A.1                                               (using Annulment law)

        = A                                                  (using Identity law)

        = RHS