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

Last updated at July 13, 2026 by

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

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