# All Your Base in Standard ML

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

1 | ```
exercism fetch sml 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!

## Loading your exercise implementation in PolyML

1 |
```
$ poly --use {exercise}.sml
``` |

Or:

**Note:** You have to replace {exercise}.

## Running the tests

1 |
```
$ poly -q --use test.sml
``` |

## Feedback, Issues, Pull Requests

The exercism/sml repository on GitHub is the home for all of the Standard ML exercises.

If you have feedback about an exercise, or want to help implementing a new one, head over there and create an issue. We'll do our best to help you!

## Submitting Incomplete Solutions

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