Prove De-Morgan's Law Using Truth Table Answer With Hand Written Notes [Digital Electronics]

(2.) Prove De-Morgan's Law Using Truth Table. [KU - 2018]

ANS: De-Morgan's First Law : 

The first theorem of De Morgan's Law defines that the inverted result from AND Operation is the same as the OR operation of a complement of each variable where the Result equal NAND Operation.

De-Morgan's First Law Formula : 

(XY)' = X' + Y' 

De-Morgan's First Law Truth Table

XYX'Y'X•Y(X•Y)'X'+Y'
0011011
0110011
1001011
1100100
Here Prove The First De-morgan's Law Formula.

De-Morgan's Second Law : 

The Second theorem of De Morgan's Law defines that the inverted result from OR Operation is the same as the AND operation of a complement of each variable where the Result equal NOR Operation.

De-Morgan's Second Law Formula : 

(X+Y)' = X'  Y' 

De-Morgan's Second Law Truth Table

XYX'Y'X+Y(X+Y)'X'•Y'
0011011
0110100
1001100
1100100
Here Prove The Second De-morgan's Law Formula.

Hand Written Notes Available Here

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