Editing Fixed-point arithmetic (section)

===Conversion to and from floating-point===
To convert a number from floating point to fixed point, one may multiply it by the scaling factor ''S'', then round the result to the nearest integer.  Care must be taken to ensure that the result fits in the destination variable or register.  Depending on the scaling factor and storage size, and on the range input numbers, the conversion may not entail any rounding.

To convert a fixed-point number to floating-point, one may convert the integer to floating-point and then divide it by the scaling factor ''S''.  This conversion may entail rounding if the integer's absolute value is greater than 2<sup>24</sup> (for binary single-precision IEEE floating point) or of 2<sup>53</sup> (for double-precision). Overflow or [[underflow]] may occur if |''S''| is ''very'' large or ''very'' small, respectively.