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Convert numeric values to logicals



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.


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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 = 3x3 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.

ans = 6×1


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.

ans = 3×1


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


  • 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.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.

HDL Code Generation
Generate VHDL, Verilog and SystemVerilog code for FPGA and ASIC designs using HDL Coder™.

Version History

Introduced before R2006a