Laws of Absorption (MA180E)

The disjunction of a product by one of the members is equivalent to this member. The conjunction of a sum by one of the members is equivalent to this member. The equivalent logic circuit is shown in figure 1.

 

Figure 1
Figure 1

 

 

Absortion Laws:

a + (a x b) = a

a x (a + b) = a

 

Mathematic Notation:

a ∪ (a ∩ b) = a

a ∩ (a ∪ b) = a

 

Logic Notation:

a ∨ (a ∧ b) = a

a ∧ (a ∨ b) = a

 

 

 


Circuit Bench