The neutral element of the AND operation is 1... $$A \wedge 1 = A$$ ![]() Logical diagram neutral element of an AND operation. |
![]() A logic circuit neutral element of an AND operation. (Enlarge) |
The neutral element of the OR operation is 0... $$A \vee 0 = A$$ ![]() Logical diagram neutral element of an OR operation. |
![]() A logic circuit neutral element of an OR operation. (Enlarge) |
Comparison Arithmetic - Boolean Algebra Also the addition and multiplication have neutral elements... $$x + 0 = x \quad\mbox{and}\quad x \times 1 = x $$ As already mentioned, the AND operation is similar to the multiplication and the OR operation is similar to the addition! |