1.

Which of the following Boolean rules is correct?1. A + 0 = 02. A + 1 = 13. \(\overline {A + A} = \overline {A.A}\)4. \(A + A.B = \overline {A+B}\)

Answer» Correct Answer - Option 2 : A + 1 = 1

Concept:

All Boolean algebra laws are shown below

Name

AND Form

OR Form

Identity law

1.A = A

0 + A = A

Null Law

0.A = 0

1 + A = 1

Idempotent Law

A. A = A

A + A = A

Inverse Law

AA’ = 0

A + A’ = 1

Commutative Law

AB = BA

A + B = B + A

Associative Law

(AB)C

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

Distributive Law

A + BC = (A + B) (A + C)

A (B + C) = AB + AC

Absorption Law

A (A + B) = A

A + AB = A

De Morgan’s Law

(AB)’ = A’ + B’

(A + B)’ = A’B’

 


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