2 or 3 Mark Questions

Computer Science - Class 11
Chapter 12 Class 11 - Boolean Algebra

## State and verify Absorption law algebraically.

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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