Logical operators are used in programing and circuitry to transform inputs. Logical operators always deal with true and false: 1 or 0. Thus they always operate on the binary representation of a number or value. In circuitry this is usually a HIGH or LOW voltage.

There are two types of logical operators:

Normal logical operators which operate on singular true false values.
And bitwise logical operators which operate on sets of bits representing values.

The symbols shown below are common (and correct for C based languages), however not globally true.

Operator	Bitwise Symbol	Logical Symbol
AND	&	&&
OR	\|	\|
NOT		!
XOR		N/A

See: Bitwise Operators for more detailed information about the bitwise versions of these operations.

AND Operator

The AND operator returns true only if both operands are true. Otherwise, it returns false.

Operand 1	Operand 2	Result
true	true	true
true	false	false
false	true	false
false	false	false

OR Operator

The OR operator returns true if at least one operand is true. Otherwise, it returns false.

Operand 1	Operand 2	Result
true	true	true
true	false	true
false	true	true
false	false	false

NOT Operator

This flips the bits of the input. true becomes false, and false becomes true.

Operand	Result
true	false
false	true

XOR Operator

The XOR operator, also known as the exclusive OR operator, returns true if only one operand is true, but not both. Otherwise, it returns false.

Operand 1	Operand 2	Result
true	true	false
true	false	true
false	true	true
false	false	false

Logical Operators

AND Operator

OR Operator

NOT Operator

XOR Operator