Logical (Boolean) Operations

True or false conditions

MATLAB^® represents Boolean data using the logical data type. This data type represents true and false states using the numbers 1 and 0, respectively. Certain MATLAB functions and operators return logical values to indicate fulfillment of a condition. You can use those logical values to index into an array or execute conditional code. For more information, see how to Find Array Elements That Meet Conditions.

Functions

`&`	Find logical AND
`Short-Circuit &&`	Logical AND with short-circuiting
`~`	Find logical NOT
`\|`	Find logical OR
`Short-Circuit \|\|`	Logical OR with short-circuiting
`xor`	Find logical exclusive-OR
`all`	Determine if all array elements are nonzero or `true`
`any`	Determine if any array elements are nonzero
`false`	Logical 0 (false)
`find`	Find indices and values of nonzero elements
`islogical`	Determine if input is logical array
`logical`	Convert numeric values to logicals
`true`	Logical 1 (true)

Topics

Find Array Elements That Meet Conditions
This example shows how to filter the elements of an array by applying conditions to the array.
Reduce Logical Arrays to Single Value
This example shows how to use the any and all functions to reduce an entire array to a single logical value.
Operator Precedence
Precedence rules determine the order in which MATLAB evaluates an expression.

Related Information

MATLAB Operators and Special Characters