# 2.5: Floating-Point Data Type

- Page ID
- 10624

## Overview

A **floating-point data type** uses a formulaic representation of real numbers as an approximation so as to support a trade-off between range and precision. For this reason, floating-point computation is often found in systems which include very small and very large real numbers, which require fast processing times. A number is, in general, represented approximately to a fixed number of significant digits and scaled using an exponent in some fixed base.^{[1]}

## Discussion

The floating-point data type is a family of data types that act alike and differ only in the size of their domains (the allowable values). The floating-point family of data types represents number values with fractional parts. They are technically stored as two integer values: a **mantissa** and an **exponent**. The floating-point family has the same attributes and acts or behaves similarly in all programming languages. They can always store negative or positive values thus they always are signed; unlike the integer data type that could be unsigned. The **domain** for floating-point data types varies because they could represent very large numbers or very small numbers. Rather than talk about the actual values, we mention the **precision**. The more bytes of storage the larger the mantissa and exponent, thus more precision.

Language | Reserved Word | Size | Precision | Range |
---|---|---|---|---|

C++ | `float` | 32 bits / 4 bytes | 7 decimal digits | ±3.40282347E+38 |

C++ | `double` | 64 bits / 8 bytes | 15 decimal digits | ±1.79769313486231570E+308 |

C# | `float` | 32 bits / 4 bytes | 7 decimal digits | ±3.40282347E+38 |

C# | `double` | 32 bits / 4 bytes | 15 decimal digits | ±1.79769313486231570E+308 |

Java | `float` | 32 bits / 4 bytes | 7 decimal digits | ±3.40282347E+38 |

Java | `double` | 32 bits / 4 bytes | 15 decimal digits | ±1.79769313486231570E+308 |

JavaScript | `Number` | 64 bits / 8 bytes | 15 decimal digits | ±1.79769313486231570E+308 |

Python | `float()` | 64 bits / 8 bytes | 15 decimal digits | ±1.79769313486231570E+308 |

Swift | `Float` | 32 bits / 4 bytes | 7 decimal digits | ±3.40282347E+38 |

Swift | `Double` | 64 bits / 8 bytes | 15 decimal digits | ±1.79769313486231570E+308 |

## Key Terms

- double
- The most often used floating-point family data type used.

- mantissa exponent
- The two integer parts of a floating-point value.

- precision
- The effect on the domain of floating-point values given a larger or smaller storage area in bytes.