# Documentation

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# logical

Convert numeric values to logicals

## Description

example

L = logical(A) converts A into an array of logical values. Any nonzero element of A is converted to logical 1 (true) and zeros are converted to logical 0 (false). Complex values and NaNs cannot be converted to logical values and result in a conversion error.

## Examples

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Pick out the odd-numbered elements of a numeric matrix.

Create a numeric matrix.

A = [1 -3 2;5 4 7;-8 1 3];

Find the modulus, mod(A,2), and convert it to a logical array for indexing.

L = logical(mod(A,2))
L =

3×3 logical array

1   1   0
1   0   1
0   1   1

The array has logical 1 (true) values where A is odd.

Use L as a logical index to pick out the odd elements of A.

A(L)
ans =

1
5
-3
1
7
3

The result is a vector containing all odd elements of A.

Use the logical NOT operator, ~, on L to find the even elements of A.

A(~L)
ans =

-8
4
2

## Input Arguments

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Input array, specified as a scalar, vector, matrix, or multidimensional array.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | logical | char

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### Tall Array Support

This function fully supports tall arrays. For more information, see Tall Arrays.

### Tips

• Most arithmetic operations involving logical arrays return double values. For example, adding zero to a logical array returns a double array.

• Logical arrays also are created by the relational operators (==,<,>,~, etc.) and functions like any, all, isnan, isinf, and isfinite.