class Float
  def to_s( base = 2, maxdigitafterpoint = 10 )
    integer = truncate

    res = integer.to_s( base ) + "."

    i = 0
    fraction = self - integer
    while i < maxdigitafterpoint and fraction != 0.0
      fraction *= base
      digit = fraction.truncate
      res += digit.to_s
      fraction -= digit

      ++i
    end

    res
  end
end

puts 103.625.to_s
puts 103.626.to_s(2,80)