# All Your Base in Perl 6

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

1 | ```
exercism fetch perl6 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!*

## Resources

Remember to check out the Perl 6 documentation and resources pages for information, tips, and examples if you get stuck.

## Running the tests

There is a test suite and module included with the exercise.
The test suite (a file with the extension `.t`

) will attempt to run routines
from the module (a file with the extension `.pm6`

).
Add/modify routines in the module so that the tests will pass! You can view the
test data by executing the command `perl6 --doc *.t`

(* being the name of the
test suite), and run the test suite for the exercise by executing the command
`prove . --exec=perl6`

in the exercise directory.
You can also add the `-v`

flag e.g. `prove . --exec=perl6 -v`

to display all
tests, including any optional tests marked as 'TODO'.

## Submitting Incomplete Solutions

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