This gives 440400B16, which when converted back to a floating point number (by dividing again by 2<sup>16</sup>, but holding the result as floating point) gives 6.71999.
The correct floating point result is 6.72.
The scaling range here is for any number between 65535.9999 and −65536.0 with 16 bits to hold fractional quantities (of course assuming the use of a 64 bit result register). Note that some computer architectures may restrict arithmetic to 32 bit results. In this case extreme care must be taken not to overflow the 32 bit register. For other number ranges the binary scale can be adjusted for optimum accuracy.
