# Documentation

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# Numeric Types

Integer and floating-point data

Numeric classes in MATLAB® include signed and unsigned integers, and single-precision and double-precision floating-point numbers. By default, MATLAB stores all numeric values as double-precision floating point. (You cannot change the default type and precision.) You can choose to store any number, or array of numbers, as integers or as single-precision. Integer and single precision arrays offer more memory-efficient storage than double precision.

All numeric types support basic array operations, such as subscripting, reshaping, and mathematical operations.

## Functions

 `double` Double-precision arrays `single` Single-precision arrays `int8` 8-bit signed integer arrays `int16` 16-bit signed integer arrays `int32` 32-bit signed integer arrays `int64` 64-bit signed integer arrays `uint8` 8-bit unsigned integer arrays `uint16` 16-bit unsigned integer arrays `uint32` 32-bit unsigned integer arrays `uint64` 64-bit unsigned integer arrays
 `cast` Cast variable to different data type `typecast` Convert data types without changing underlying data
 `isinteger` Determine if input is integer array `isfloat` Determine if input is floating-point array `isnumeric` Determine if input is numeric array `isreal` Determine whether array is real `isfinite` Array elements that are finite `isinf` Array elements that are infinite `isnan` Array elements that are NaN
 `eps` Floating-point relative accuracy `flintmax` Largest consecutive integer in floating-point format `Inf` Infinity `intmax` Largest value of specified integer type `intmin` Smallest value of specified integer type `NaN` Not-a-Number `realmax` Largest positive floating-point number `realmin` Smallest positive normalized floating-point number

## Topics

Integers

MATLAB supports 1-, 2-, 4-, and 8-byte storage for integer data. If you use the smallest integer type that accommodates your data, you can save memory and program execution time.

Floating-Point Numbers

MATLAB represents floating-point numbers in either double-precision or single-precision format. The default is double precision.

Complex Numbers

Create complex numbers. Complex numbers consist of a real part and an imaginary part.

Infinity and NaN

MATLAB represents infinity by the special value `inf`, and values that are neither real nor complex by the special value `NaN`, which stands for “Not a Number”.

Identifying Numeric Classes

You can check the data type of a variable using any of these commands.

Display Format for Numeric Values

The `format` function controls the display of numeric values. Changing the format does not change the values, only their display.

Combining Unlike Integer Types

If you combine different integer types in a matrix (e.g., signed with unsigned, or 8-bit integers with 16-bit integers), all elements of the resulting matrix are given the data type of the leftmost element.

Combining Integer and Noninteger Data

If you combine integers with `double`, `single`, or `logical` classes, all elements of the resulting matrix are given the data type of the leftmost integer.

Empty Matrices

If you construct a matrix using empty matrix elements, the empty matrices are ignored in the resulting matrix.

Concatenation Examples

These examples show how to concatenate different data types.