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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





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
0𝋀char(119488)
1𝋁char(119489)
2𝋂char(119490)
3𝋃char(119491)
4𝋄char(119492)
5𝋅char(119493)
6𝋆char(119494)
7𝋇char(119495)
8π‹ˆchar(119496)
9𝋉char(119497)
10π‹Šchar(119498)
11𝋋char(119499)
12π‹Œchar(119500)
13𝋍char(119501)
14π‹Žchar(119502)
15𝋏char(119503)
16𝋐char(119504)
17𝋑char(119505)
18𝋒char(119506)
19𝋓char(119507)

Example: 123 is written $ [6, 3]_{20} $ in base 20 (car $ 123 = 6 \times 20^1 + 3 \times 20^0 $) so char(119494)char(119491) 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: char(119491)char(119489)char(119502) 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^{βˆ’1} = 0.05 $, the second $ 20^{βˆ’2} = 0.0025 $ etc.

Example: char(119490).char(119493) 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 ᓬ)

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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Kaktovik Numerals on dCode.fr [online website], retrieved on 2023-10-01, https://www.dcode.fr/kaktovik-numerals

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