The disjunction of a product composed of the element a and b and a product composed by element a and the complement of the element b is equivalent to the element a. The conjunction of a sum of the element a and b and a sum composed of the element a and the complement of the element b is equivalent to the element a. Figure 1 shows the circuit diagram describing these laws,
Figure 1
Laws of Expansion:
Mathematic Notation:
(a ∩ b) ∪ (a ∩ b’) = a
(a ∪ b) ∩ (a ∪ b’) = a
Logic Notation:
(a ∧ b) ∨ (a ∧ ~b) = a
(a ∨ b) ∧ (a ∨ ~b) = a
