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Easily convert numbers between arbitrary bases and symbol sets.


This library requires PHP >=5.3 (namespaces) and GMP extension (for handling large numbers exceeding PHP capabilities).


This library is available on Packagist as thunderer/numbase.


The Simplest Way™

use Thunder\Numbase\Numbase;

$numbase = Numbase::createDefault();

// decimal 15 to hexadecimal number
assert('F' === $numbase->convert(15, 10, 16));
// 64000 decimal to base 32000
assert('20' === $numbase->convert(64000, 10, 32000));

Regular usage (see Internals section for more options):

use Thunder\Numbase\Numbase;

$base62 = new Base62Symbols();
$numbase = new Numbase(new GmpConverter($base62), new StrictFormatter($base62));

// decimal 15 to hexadecimal number
assert('F' === $numbase->convert(15, 10, 16));


Convert number to and from a different set of symbols:

$base10 = new Base10Symbols();
$upper = new StringSymbols('!@#$%^&*()');

$numbase = new Numbase(new GmpDigits($base10), new StrictFormatter($upper));

assert('#!' === $numbase->convert('20', 10, 10));
assert('-$!' === $numbase->convert('-30', 10, 10));

$numbase = new Numbase(new GmpDigits($upper), new StrictFormatter($base10));

assert('20' === $numbase->convert('#!', 10, 10));
assert('-30' === $numbase->convert('-$!', 10, 10));

Get array of digit values (for bases too large for any symbol set):

$numbase = new Numbase(new GmpDigits(new Base62Symbols()), new ArrayFormatter());

// convert 10^12 to base 99:
assert(array('10', '61', '53', '3', '51', '60', '10') 
    === $numbase->convert('10000000000000', 10, 99));


Numbase is built upon several concepts:

  • converters that convert numbers to array of numbers of digits,
  • formatters that take those arrays and return final numbers,
  • symbols used in converters to check symbols values and to get digits symbols in formatters.

There are several implementations of each concept bundled with this library, for example:

  • converters:
    • GmpConverter: can convert any integer between any base greater than 2, uses gmp_*() functions,
    • GmpStrvalConverter: uses gmp_strval() to convert between bases 2 and 62,
    • BaseConvertConverter: uses base_convert() to convert between bases 2 and 32,
  • formatters:
    • ArrayFormatter: returns raw array of digits numbers,
    • StrictFormatter: returns number as string, throws exception when digit is not found in symbols set,
    • FallbackFormatter: returns number as string, but returns string with digit values separated by configured separator when any digit is not found in symbols set,
  • symbols:
    • ArraySymbols: takes associative array(value => symbol),
    • Base62Symbols: contains alphanumeric set of symbols 0-9A-Za-z up to base 62,
    • StringSymbols: takes string and splits it assigning consecutive values to each character.

The named constructor Numbase::createDefault() uses GmpConverter, StrictFormatter and Base62Symbols as defaults.


See LICENSE file in the main directory of this library.