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Kaktovik Numerals

Tool to convert or write Kaktovik numbers. The Kaktovik numerals are used in Alaska by Inuit peoples.

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Kaktovik Numerals -

Tag(s) : Numeral System, Symbol Substitution

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# Kaktovik Numerals

## Kaktovik to (Arabic) Numbers Converter

See also: Mayan Numerals

## Kaktovik writer/Encoder

 Display as Images (as above) Value in Base 20 Unicode characters (ππππ)

## Answers to Questions (FAQ)

### What are Kaktovik numbers? (Definition)

Kaktovik numbers or numerals (or IΓ±upiaq numerals) are a positional base 20 numeral system used by Inuit/Inupiat peoples in Alaska and Canada.

### How to write in Kaktovik numerals?

Start by converting the number to base 20 (see explanations on converting to base N).

Then replace each number (from 0 to 19) with the corresponding Kaktovik symbol:

Decimal
Value
UnicodeImage
0π
1π
2π
3π
4π
5π
6π
7π
8π
9π
10π
11π
12π
13π
14π
15π
16π
17π
18π
19π

Example: 123 is written $[6, 3]_{20}$ in base 20 (car $123 = 6 \times 20^1 + 3 \times 20^0$) so in Kaktovik.

### How to convert a Kaktovik number into decimal?

To write a Kaktovik number in classic decimal representation, locate each symbol and replace it with the associated number (between 0 and 19) so as to obtain a positional numeration in base 20 which will still have to be converted into base 10 (decimal).

Example: corresponds to [3,1,14] in base 20 so $3 \times 20^2 + 1 \times 20 + 14 = 1234$ in decimal (base 10)

### How to handle decimal numbers in Kaktovik?

Decimal writing uses the dot . to separate the integer part and the decimal part.

As the writing is in base 20, the first digit after the decimal has the unit $20^{β1} = 0.05$, the second $20^{β2} = 0.0025$ etc.

Example: . corresponds to [2,.,5] in radix 20 and $2 \times 20^0 + 5 \times 20^{-1} = 2.25$ in radix 10

### How to recognize a Kaktovik numerals? (Identification)

The digits of the Kaktovik numeral consist of 1 to 5 vertical bars (forming W) and 1 to 5 horizontal bars (forming α¬)

Any references to Inuit, IΓ±upiats or even Inuktitut are clues.

### When were Kaktovik numerals invented?

The count was developed in 1994 in Kaktovik, a town in Alaska by a group of students.

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