diff --git a/guide/english/logic/algebra-of-logic/index.md b/guide/english/logic/algebra-of-logic/index.md index b478a18823..e7f5ba4654 100644 --- a/guide/english/logic/algebra-of-logic/index.md +++ b/guide/english/logic/algebra-of-logic/index.md @@ -15,6 +15,10 @@ The three basic operations in Boolean Algebra are `AND`, `OR`, and `NOT`. Consid - `x OR y` is true if and only if either of `x`, `y` are true. If `x`, `y` are both true, `x OR y` is still true - `NOT x` is true if and only if `x` is false and vice versa +`NOT` of boolean statements can be refactored to apply directly to each variable. Consider the following : +- `NOT (x AND y) = NOT x OR NOT y` +- `NOT (x OR y) = NOT x AND NOT y` + ### More Information: - The Calculus of Logic: George Boole - Boolean algebra article: Wikipedia