# All Your Base in Ruby

#### Convert a number, represented as a sequence of digits in one base, to any other base.

1 | ```
exercism fetch ruby all-your-base
``` |

# All Your Base

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

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!*

For installation and learning resources, refer to the exercism help page.

For running the tests provided, you will need the Minitest gem. Open a terminal window and run the following command to install minitest:

1 |
```
gem install minitest
``` |

If you would like color output, you can `require 'minitest/pride'`

in
the test file, or note the alternative instruction, below, for running
the test file.

In order to run the test, you can run the test file from the exercise
directory. For example, if the test suite is called
`hello_world_test.rb`

, you can run the following command:

1 |
```
ruby hello_world_test.rb
``` |

To include color from the command line:

1 |
```
ruby -r minitest/pride hello_world_test.rb
``` |

## Submitting Incomplete Solutions

It's possible to submit an incomplete solution so you can see how others have completed the exercise.