## Laws of Absorption (MA180E)

- Details
- Published: Monday, 09 May 2016 00:00
- Written by Newton C. Braga

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