A Numeral system is used to represent numbers using a pre-defined list of symbols. The simplest numeral system is Binary which comprises of only two such symbols: 0 and 1. These two numbers can be used to represent numbers of any size. For example, decimal numbers can be represented as follows in Binary:-

Decimal | Binary |
---|---|

0 | 0 |

1 | 1 |

2 | 10 |

3 | 11 |

4 | 100 |

Computers use different numeral bases. A digital computer only deals with 0s and 1s, so binary (base 2) is used at the simplest level. Computers group binary digits together and there Hexadecimal (base 16) is used. When systems such as the PDP-8, ICL 1900 and IBM mainframes were employed, Octal numbers (base 8) became widely used. Three binary digits are grouped together to create an Octal number. Us humans, on the other hand, prefer decimal number system for our day to day operations. Similarly, there are usages for various other number bases.

#### Base Conversion Example

The value of the mathematical constant pi (π) is 3.14159 in Decimal. The same value is 3.243f3e0370cdc8754f37 in Hexadecimal.**Settings Explained**

###### 1. From Base

Choose the base you want to convert from.

The examples below assume an input of**1000**and a conversion to**Base 16 (Hex)**.###### 10 (Decimal)

`3e8`

###### 8 (Octal)

`200`

###### 2. To Base

Choose the base you want to convert to.

The examples below assume an input of**1000**and a conversion from**Base 10 (Decimal)**.###### 16 (Hex)

`3e8`

###### 8 (Octal)

`1750`

###### History

- Apr 1, 2018
- Tool Launched

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