1. ​A ∙ A = A
  2. A + B = A.B
  3. A + A = A
  4. A + 0 = A
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1 Answers

Option 2 : A + B = A.B

Concept:

De Morgan's Law: De Morgan's Law is also known as De Morgan's theorem, works depending on the concept of Duality.

  • The complement of the product of 2 variables is equal to the sum of the compliments of individual variables. For example, (A.B)' = A' + B'.
  • The complement of the sum of two variables is equal to the product of the complement of each variable. For example, (A + B)' = A'B

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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