The complementary law of an AND operation reads...
$$A \wedge \neg A = 0$$
![]() Logic diagram complementary law of the AND operation. |
![]() Logic circuit complementary law of an AND operation. (Enlarge) |
The complementary law of an OR operation reads...
$$A \vee \neg A = 1$$
![]() Logic diagram complementary law of the OR operation. |
![]() Logic circuit complementary law of an OR operation. (Enlarge) |
Comparison Arithmetic - Boolean Algebra The complementary law applies to the addition... $$x + (-x) = 0 $$ The complementary law does not apply to multiplication |