# 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