The value of \(\rm \overline{A+B}\) is :

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KVS TGT WET (Work Experience Teacher) 23 Dec 2018 Official Paper
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  1. A • B
  2. A̅ B̅ 
  3. B̅ 
  4. A̅ B

Answer (Detailed Solution Below)

Option 2 : A̅ B̅ 
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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’

 

By De Morgan’s Law option 2 is the correct answer. 

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