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Boolean algebra simplification

 Boolean algebra simplification examples and solutions

 Example 1: Simplify the Boolean expression 
Boolean algebra examples and solutions tutorial 
Solution 
Simplification of the Boolean expression examples and solutions 
 
 
Example 2:  Find the complement of the boolean expression given by
 
 Boolean algebra simplification examples and solutions tutorial
 Solution
a)
 Application of De Morgan’s theorem in simplication of boolean equation  Using De Morgan’s theorem
Application of De Morgan’s theorem in simplication of boolean equation 
 
b)
 Let Y be the complement of 
 Find the complement of the booloean expression 
 complement of booloean expression
 

    Applying De Morgan’s theorem

De Morgan’s theorem  


Example 3: Proof that the following algebra (boolean expression) is equal 

equality of a boolean expression 

Solution 

Proofing the  equality of a boolean expression 

 

Example 4: Simplify the following Boolean expressions

Simplify the following Boolean expressions 

Solution 

  a)
Simplification techniques of Boolean expressions 
 
b) 
Simplification of Boolean expressions 
 

Example 5: Proof of the Dual of Distributive Law

Which states that (x + y.z) = (x + y).(x + z)

Solution
 

Using the RHS

 
Proof of the Dual of Distributive Law
 
 

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