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
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