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## base2base – Converting between bases

Write a program that converts between numerical bases between 2 and 36 digits.

Input will consist of several lines each
with a number *n*, a source base *s* and a destination base *d* where
0 ≤ n < 1 000 000 000 and
2 ≤ s, d ≤ 36.

The number *n* is given in base *s*.

For each line of input,
output should contain a line
with the representation of number *n* in base *d*.

In this exercise,
digits valued from 0 to 35
are represented first by regular digits then by the English alphabet:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e, f, g, …, x, y, z.
In other words,
the letters a through z are valued 10 through 35.

#### Example input

```
360 10 12
1010 2 8
ff00ff 16 2
```

#### Example output

```
260
12
111111110000000011111111
```

### Scoring

- 1/6: works for the above example but produces output in an incorrect format
- 2/6: works for the above example and produces output in the correct format
- 5/6: works for other test cases
- 6/6: works for edge cases

### Hints

Remember the characters `'0'`

and `'1'`

are different
than the numeric values `0`

and `1`

.
You can create a function which converts between both
by using an `if`

or `case`

expression.

try first: bin2dec dec2bin hex2dec dec2hex

try next: bool-not

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