exercism-elixir/all-your-base/README.md
2022-02-16 16:32:44 -04:00

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