# Inputs data - value and unit, which we're going to convert

Value | ||

Numeral system | ||

Decimals |

# 1000 (decimal) is equal to:

# Common bases

Numeral system | Base | Value |

binary | 2 | 1111101000 |

octal | 8 | 1750 |

decimal | 10 | 1000 |

hexadecimal | 16 | 3e8 |

# All bases

Numeral system | Base | Value |

binary | 2 | 1111101000 |

ternary | 3 | 1101001 |

quaternary | 4 | 33220 |

quinary | 5 | 13000 |

senary | 6 | 4344 |

septenary | 7 | 2626 |

octal | 8 | 1750 |

nonary | 9 | 1331 |

decimal | 10 | 1000 |

undecimal | 11 | 82a |

duodecimal | 12 | 6b4 |

tridecimal | 13 | 5bc |

tetradecimal | 14 | 516 |

pentadecimal | 15 | 46a |

hexadecimal | 16 | 3e8 |

base-17 | 17 | 37e |

octodecimal | 18 | 31a |

base-19 | 19 | 2ec |

vigesimal | 20 | 2a0 |

base-21 | 21 | 25d |

base-22 | 22 | 21a |

trivigesimal | 23 | 1kb |

tetravigesimal | 24 | 1hg |

base-25 | 25 | 1f0 |

hexavigesimal | 26 | 1cc |

heptavigesimal | 27 | 1a1 |

base-28 | 28 | 17k |

base-29 | 29 | 15e |

trigesimal | 30 | 13a |

base-31 | 31 | 118 |

duotrigesimal | 32 | v8 |

tritrigesimal | 33 | ua |

base-34 | 34 | te |

base-35 | 35 | sk |

hexatrigesimal | 36 | rs |

# Some facts

- To write a number in the
**position system with the basis b**, we must present it as a**serie containing powers of this base**.${...d_3 d_2 d_1 d_0}_{(b)} = ...(d_3 \times b^3) + (d_2 \times b^2) + (d_1 \times b^1) + (d_0 \times b^0)$ - ⓘ Example: Decimal number 1234 means:

$\underline{\bold{1234}}_{(10)} = (\underline{\bold{1}} \times 10^3) + (\underline{\bold{2}} \times 10^2) + (\underline{\bold{3}} \times 10^1) + (\underline{\bold{4}} \times 10^0)$ - The coefficients for the next base powers are called
**digits**. - The digit that has the least effect on the value of the number (located at the lowest power) is called
**the least significant digit**. By analogy, the digit whose change most affects the value of the whole number is called**the most significant digit**. - It is assumed that we write digits
**from the most to the least significant**order. It means that the most significant digit is on the left hand side and the least significant digit is on the right hand side.ⓘ Example: Let's get hexadecimal number 12ef_{(16)}. The most significant digit is**1**, and the least significant one is**f**.

# Tips & tricks

- Sometimes a number that has an infinite expansion in one system (i.e. it can't be written using a finite number of digits) has a finite expansion in another one. For example, the number 1/3 is the 0.33333333333... (never ending 3333...) in decimal system, but just simple 0.1 in ternary (base 3) one. So
**the expansion of 1/3 is finite in ternary system**.

# How to convert

**Enter the number to field "value"**- enter the NUMBER only, no other words, symbols or unit names. You can use dot (**.**) or comma (**,**) to enter fractions.

Examples:- 1000000
- 123,23
- 999.99999

**Find and select your starting unit in field "unit"**. Some unit calculators have huge number of different units to select from - it's just how complicated our world is...**And... you got the result**in the table below. You'll find several results for many different units - we show you all results we know at once. Just find the one you're looking for.

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