55 lines
1.3 KiB
Markdown
55 lines
1.3 KiB
Markdown
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# All Your Base
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Welcome to All Your Base on Exercism's Elixir Track.
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If you need help running the tests or submitting your code, check out `HELP.md`.
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## Instructions
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Convert a number, represented as a sequence of digits in one base, to any other base.
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Implement general base conversion.
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Given a number in base **a**, represented as a sequence of digits, convert it to base **b**.
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## Note
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- Try to implement the conversion yourself.
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Do not use something else to perform the conversion for you.
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## About [Positional Notation][positional-notation]
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In positional notation, a number in base **b** can be understood as a linear combination of powers of **b**.
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The number 42, _in base 10_, means:
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`(4 * 10^1) + (2 * 10^0)`
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The number 101010, _in base 2_, means:
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`(1 * 2^5) + (0 * 2^4) + (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (0 * 2^0)`
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The number 1120, _in base 3_, means:
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`(1 * 3^3) + (1 * 3^2) + (2 * 3^1) + (0 * 3^0)`
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I think you got the idea!
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_Yes. Those three numbers above are exactly the same. Congratulations!_
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[positional-notation]: https://en.wikipedia.org/wiki/Positional_notation
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## Source
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### Created by
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- @ananthamapod
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### Contributed to by
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- @angelikatyborska
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- @ChristianTovar
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- @Cohen-Carlisle
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- @devonestes
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- @neenjaw
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- @parkerl
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- @sotojuan
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- @ybod
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