Tool to convert or write Kaktovik numbers. The Kaktovik numerals are used in Alaska by Inuit peoples.
Kaktovik Numerals - dCode
Tag(s) : Numeral System, Symbol Substitution
dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!
Kaktovik Numerals
Kaktovik to (Arabic) Numbers Converter
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 | Unicode | Image |
|---|---|---|
| 0 | π | .png) |
| 1 | π | .png) |
| 2 | π | .png) |
| 3 | π | .png) |
| 4 | π | .png) |
| 5 | π | .png) |
| 6 | π | .png) |
| 7 | π | .png) |
| 8 | π | .png) |
| 9 | π | .png) |
| 10 | π | .png) |
| 11 | π | .png) |
| 12 | π | .png) |
| 13 | π | .png) |
| 14 | π | .png) |
| 15 | π | .png) |
| 16 | π | .png) |
| 17 | π | .png) |
| 18 | π | .png) |
| 19 | π | .png) |
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^{β1} = 0.05 $, the second $ 20^{β2} = 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.
Source code
dCode retains ownership of the "Kaktovik Numerals" source code. Except explicit open source licence (indicated Creative Commons / free), the "Kaktovik Numerals" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or the "Kaktovik Numerals" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, or API access for "Kaktovik Numerals" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!
Reminder : dCode is free to use.
Cite dCode
The copy-paste of the page "Kaktovik Numerals" or any of its results, is allowed (even for commercial purposes) as long as you cite dCode!
Exporting results as a .csv or .txt file is free by clicking on the export icon
Cite as source (bibliography):
Kaktovik Numerals on dCode.fr [online website], retrieved on 2023-10-01,
- Kaktovik to (Arabic) Numbers Converter
- Kaktovik writer/Encoder
- What are Kaktovik numbers? (Definition)
- How to write in Kaktovik numerals?
- How to convert a Kaktovik number into decimal?
- How to handle decimal numbers in Kaktovik?
- How to recognize a Kaktovik numerals? (Identification)
- When were Kaktovik numerals invented?
