> For the complete documentation index, see [llms.txt](https://boxlang.ortusbooks.com/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://boxlang.ortusbooks.com/boxlang-language/reference/built-in-functions/math/formatbasen.md).

# FormatBaseN

Converts a number to a string representation in the specified base.

## Method Signature

```
FormatBaseN(number=[numeric], radix=[integerTruncate])
```

### Arguments

| Argument | Type              | Required | Description | Default |
| -------- | ----------------- | -------- | ----------- | ------- |
| `number` | `numeric`         | `true`   |             |         |
| `radix`  | `integerTruncate` | `true`   |             |         |

## Examples

### Format 10 as dual number

[Run Example](https://try.boxlang.io/?code=eJxLyy%2FKTSxxSixO9dNQMDTQUTBS0LTmAgBU9gYI)

```java
formatBaseN( 10, 2 );

```

Result: 1010

### Format 1024 as hexadecimal number

[Run Example](https://try.boxlang.io/?code=eJxLyy%2FKTSxxSixO9dNQMDQwMtFRMDRT0LTmAgBpOAaj)

```java
formatBaseN( 1024, 16 );

```

Result: 400

### Format 125 as decimal number

[Run Example](https://try.boxlang.io/?code=eJxLyy%2FKTSxxSixO9dNQMDQy1VEwNFDQtOYCAGJHBm4%3D)

```java
formatBaseN( 125, 10 );

```

Result: 125

### Format a float

Floors float to integer then formats with radix given

[Run Example](https://try.boxlang.io/?code=eJxLyy%2FKTSxxSixO9dNQMDTQMzfVUTBS0LTmAgBpTQai)

```java
formatBaseN( 10.75, 2 );

```

Result: 1010

### Additional Examples

```java
<bx:output>
  #formatBaseN( 15, 2 )# <!--- 1111 (binary) ---> 
  #formatBaseN( 15, 16 )# <!--- f (hexadecimal) ---> 
  #formatBaseN( 15, 8 )# <!--- 17 (octal) ---> 
</bx:output>
```

```java
<bx:set max = CreateObject( "java", "java.lang.Integer" ).MAX_VALUE >
<bx:output>
  #formatBaseN( max, 16 )# <!--- 7fffffff (correct) ---> 
  #formatBaseN( max + 1, 16 )# <!--- 7fffffff (incorrect) ---> 
</bx:output>
```

## Related

* [Abs](/boxlang-language/reference/built-in-functions/math/abs.md)
* [Acos](/boxlang-language/reference/built-in-functions/math/acos.md)
* [Asin](/boxlang-language/reference/built-in-functions/math/asin.md)
* [Atn](/boxlang-language/reference/built-in-functions/math/atn.md)
* [Ceiling](/boxlang-language/reference/built-in-functions/math/ceiling.md)
* [Cos](/boxlang-language/reference/built-in-functions/math/cos.md)
* [DecrementValue](/boxlang-language/reference/built-in-functions/math/decrementvalue.md)
* [Exp](/boxlang-language/reference/built-in-functions/math/exp.md)
* [Fix](/boxlang-language/reference/built-in-functions/math/fix.md)
* [Floor](/boxlang-language/reference/built-in-functions/math/floor.md)
* [IncrementValue](/boxlang-language/reference/built-in-functions/math/incrementvalue.md)
* [InputBaseN](/boxlang-language/reference/built-in-functions/math/inputbasen.md)
* [Int](/boxlang-language/reference/built-in-functions/math/int.md)
* [Log](/boxlang-language/reference/built-in-functions/math/log.md)
* [Log10](/boxlang-language/reference/built-in-functions/math/log10.md)
* [Max](/boxlang-language/reference/built-in-functions/math/max.md)
* [Min](/boxlang-language/reference/built-in-functions/math/min.md)
* [Pi](/boxlang-language/reference/built-in-functions/math/pi.md)
* [PrecisionEvaluate](/boxlang-language/reference/built-in-functions/math/precisionevaluate.md)
* [Rand](/boxlang-language/reference/built-in-functions/math/rand.md)
* [Randomize](/boxlang-language/reference/built-in-functions/math/randomize.md)
* [RandRange](/boxlang-language/reference/built-in-functions/math/randrange.md)
* [Round](/boxlang-language/reference/built-in-functions/math/round.md)
* [Sgn](/boxlang-language/reference/built-in-functions/math/sgn.md)
* [Sin](/boxlang-language/reference/built-in-functions/math/sin.md)
* [Sqr](/boxlang-language/reference/built-in-functions/math/sqr.md)
* [Tan](/boxlang-language/reference/built-in-functions/math/tan.md)


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