Logical operations are instructions in which the quantity being operated on and the results of the operation can each possess only one of two possible values: one or zero. "Logical operations" are sometimes called "logic operations." Binary logic is the two-valued (binary) system of algebra upon which logical operations are based. It was first proposed in 1847 by British logician and mathematician George Boole (1815-1864), and later became known as Boolean algebra. Digital logic is the basis for all operations within modern digital computers. Digital logic is often considered an interchangeable term for binary logic when applied to digital computers because nearly all such computers perform logical and arithmetic operations in a binary (i.e., two-valued) form, and therefore the associated logic is also two-valued.

A logical operator is a symbol indicating an operation that acts on one or more elements in order to manipulate the binary...