loating types, which have density &lt;&lt;1, the precision is given
        not by the width of the range but by the density. In a typical implementation,
        the range is determined by the number of bits used in the exponent, and the
        precision by the number of bits used in the mantissa (giving the maximum
        number of significant digits that can be exactly represented). The higher
        the number of exponent bits the wider the range, while the higher the number
        of mantissa bits,