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Numeric class in MATLAB includes signed and unsigned integers, single-precision floating-point numbers, and double-precision floating-point numbers. Generally, MATLAB stores all numeric values as double-precision floating-point.Floating Point Numbers in MATLAB are stored in two forms:
MATLAB keeps the double precision floating point as the default floating point representation however, it can be changed to single by a very simple function.
The single precision floating point number requires 32 bits for representation by the standards of IEE®. These 32 bits are formatted as following.
| Bit Number/Range | Bits' Functionality |
|---|---|
| 31 |
Sign: - 0 for positive. 1 for negative. |
| 30-23 | exponent part; biased by 127 |
| 22-0 | mantissa of the number; 1.f |
Where exponent and mantissa are the components of exponential/scientific notation of a number.
The double precision floating point number requires 64 bits for representation by the standards of IEE®. These 64 bits are formatted as following.
| Bit Number/Range | Bits' Functionality |
|---|---|
| 63 |
Sign: - 0 for positive. 1 for negative. |
| 62-52 | exponent part; biased by 1023 |
| 51-0 | mantissa of the number; 1.f |
As MATLAB creates double precision floating point number by default, we use single() function to create single precision floating point number.
Example 1:
Output:
Double precision floating point numbers can be created by ordinary assignment or using the double function.
Example 2:
Output:
As it can be seen, both num and num_assignment variables have same attributes of double type.