# Number list

This page lists decimal, binary, octal and hexadecimal numbers. In addition, the page lists numbers in several unusual number systems: unary (base-1), ternary (or trinary, base-3), quaternary (base-4), quinary (base-5), senary (base-6), septenary (base-7), undecimal (base-11), dozenal (or duodecimal, base-12), vicesimal (base-20) and hexatrigesimal (base-36). BCD numbers and bijective bases are also covered.

Decimal (base-10), binary (base-2), octal (base-8) and hexadecimal (base-16) numbers are commonly used in computing. Binary coded digitals (BCD) have also been used in computing. The other number systems are far less common.

**Tip.**This page is printable.

## Dec, Bin, Oct and Hex

Base | System | Digits |
---|---|---|

10 | Decimal (dec) | 0123456789 |

2 | Binary (bin) | 01 |

8 | Octal (oct) | 01234567 |

16 | Hexadecimal (hex) | 0123456789 |

Binary numbers can be written as `11111111b`

or `11111111'b`

. For clarity, binary numbers can be grouped. On this page, the groups are 4 bits each. Octals are often written with a zero prefix (`07777`

). Hexadecimal numbers can be written in several ways: `0xFF`

, `\xFF`

, `&HFF`

, `$FF`

, `FFh`

.

0 to in decimal, binary, octal and hexadecimal.

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## Base-3 to Base-7

Base | System | Digits |
---|---|---|

3 | Ternary or trinary | 012 |

4 | Quaternary | 0123 |

5 | Quinary | 01234 |

6 | Senary | 012345 |

7 | Septenary | 0123456 |

0 to in base-3, base-4, base-5, base-6 and base-7.

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## Base-11, 12, 20 and 36

Base | System | Digits |
---|---|---|

11 | Undecimal | 0123456789A |

12 | Dozenal or duodecimal | 0123456789AB |

20 | Vicesimal | 0123456789 |

36 | Hexatrigesimal | 0123456789 |

0 to in base-11, base-12, base-20 and base-36.

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## Unary Numbers

Base | System | Digits |
---|---|---|

1 | Unary | 1 |

0 to in decimal and unary.

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## Binary Coded Decimal

Base | System | Digits |
---|---|---|

2 | Binary Coded Decimal (BCD) | 01 |

2 | Binary | 01 |

Binary Coded Decimal represents each decimal digit in 4 bits. BCD comes in several variants. This variant is known as Simple BCD or BCD 8421.

0 to in BCD and regular binary.

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## Bijective Bases

Base | System | Digits |
---|---|---|

2 | Bijective base-2 | 12 |

10 | Bijective base-10 | 123456789A |

26 | Bijective base-26 | A-Z |

In bijective bases there is no zero digit. Excel uses bijective base-26 for column names.

0 to in bijective bases.

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