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Binary representation of the floating-point numbers.

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Oleksii Trekhleb 2021-07-26 07:44:21 +02:00
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src/algorithms/math/binary-floating-point/README.md
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@ -79,6 +79,13 @@ I've tried to describe the logic behind the converting of floating-point numbers
> Checkout the [interactive version of this diagram](https://trekhleb.dev/blog/2021/binary-floating-point/) to play around with setting bits on and off, and seeing how it would influence the final result > Checkout the [interactive version of this diagram](https://trekhleb.dev/blog/2021/binary-floating-point/) to play around with setting bits on and off, and seeing how it would influence the final result
Here is the number ranges that different floating-point formats support:
| Floating-point format | Exp min | Exp max | Range | Min positive |
| :-------------------- | :------ | :------ | :--------------- | :----------- |
| Half-precision | −14 | +15 | ±65,504 | 6.10 × 10⁻⁵ |
| Single-precision | −126 | +127 | ±3.4028235 × 10³⁸| 1.18 × 10⁻³⁸ |
Be aware that this is by no means a complete and sufficient overview of the IEEE 754 standard. It is rather a simplified and basic overview. Several corner cases were omitted in the examples above for simplicity of presentation (i.e. `-0`, `-∞`, `+∞` and `NaN` (not a number) values) Be aware that this is by no means a complete and sufficient overview of the IEEE 754 standard. It is rather a simplified and basic overview. Several corner cases were omitted in the examples above for simplicity of presentation (i.e. `-0`, `-∞`, `+∞` and `NaN` (not a number) values)
## Code examples ## Code examples