Numeral system converter

Numeral system converter - converts numbers from one number base to another. Calculator supports popular number bases such as decimal (10), hexadecimal (16), binary (2), but also more exotic like ternmary (3), hexavigesimal (26) or duosexagesimal (62).

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This online calculator is currently under heavy development. It may or it may NOT work correctly.

You CAN try to use it. You CAN even get the proper results.

However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.

Feel free to send any ideas and comments !

**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.

Numeral system | ||

Numeral system | Base | Value |

binary | 2 | 1111101000 |

octal | 8 | 1750 |

decimal | 10 | 1000 |

hexadecimal | 16 | 3e8 |

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 |

base-37 | 37 | r1 |

base-38 | 38 | qc |

base-39 | 39 | pp |

quadragesimal | 40 | p0 |

base-41 | 41 | og |

base-42 | 42 | ny |

base-43 | 43 | nb |

base-44 | 44 | mw |

base-45 | 45 | ma |

base-46 | 46 | ly |

base-47 | 47 | ld |

base-48 | 48 | kE |

base-49 | 49 | kk |

base-50 | 50 | k0 |

base-51 | 51 | jv |

duoquinquagesimal | 52 | jc |

base-53 | 53 | iK |

base-54 | 54 | is |

base-55 | 55 | ia |

hexaquinquagesimal | 56 | hM |

heptaquinquagesimal | 57 | hv |

octoquinquagesimal | 58 | he |

base-59 | 59 | gU |

sexagesimal | 60 | gE |

unsexagesimal | 61 | go |

duosexagesimal | 62 | g8 |

- 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}×b^{3}+ d_{2}×b^{2}+ d_{1}×b^{1}+ d_{0}×b^{0} - ⓘ Example: Decimal number 1234 means:

1234_{(10)}= 1×10^{3}+ 2×10^{2}+ 3×10^{1}+ 4×10^{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**.

- 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**.

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