The Absorption Law in Boolean algebra refers to a pair of simplification rules that allow you to reduce expressions involving logical operations like AND, OR, and NOT. The two main forms of the Absorption Law are:
- First Absorption Law:
A+(Aâ‹…B) =AThis means that if you have AA OR (A AND B), you can simplify it to just AA. Essentially, if AA is true, then the entire expression will be true regardless of BB.
- Second Absorption Law:
Aâ‹…(A+B) =AThis means that if you have AA AND (A OR B), you can simplify it to just AA. If AA is true, the whole expression will be true, regardless of BB.
These laws help to eliminate redundant terms in Boolean expressions, making them simpler and more efficient for analysis or implementation in digital circuits.