exercism/elixir/all-your-base/README.md

55 lines
1.3 KiB
Markdown
Raw Normal View History

2024-06-27 00:24:48 +00:00
# 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][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!_
[positional-notation]: https://en.wikipedia.org/wiki/Positional_notation
## Source
### Created by
- @ananthamapod
### Contributed to by
- @angelikatyborska
- @ChristianTovar
- @Cohen-Carlisle
- @devonestes
- @neenjaw
- @parkerl
- @sotojuan
- @ybod