/**
* Convert this number into a other number-system.
*
* @param NumberSystem $newSystem
*
* @return Number
*/
public function convert(NumberSystem $newSystem)
{
$newDigits = [];
$decimalValue = gmp_init($this->decimalValue());
do {
$divisionResult = gmp_div_qr($decimalValue, $newSystem->getBase());
$remainder = gmp_strval($divisionResult[1]);
$decimalValue = $divisionResult[0];
$newDigits[] = $newSystem->getSymbolForPosition($remainder);
} while (gmp_strval($decimalValue) > 0);
return $newSystem->buildNumber(array_reverse($newDigits));
}
