The floating-point preferred exponent of a decimal operation in the IEEE 754-2008 standard is the operation-dependent target value of the exponent used to select a floating-point representation of an exact result. If that value cannot represent the result in the destination format, the nearest possible exponent is used.
Writing for the exponent
of a finite operand
, the preferred exponent
is
for addition and subtraction,
for multiplication, and
for division (IEEE Computer
Society 2008, pp. 18 and 21). Thus preserving the operands' quantum
means respecting these operation-dependent rules, rather than keeping each operand's
quantum unchanged. For example,
has preferred exponent
,
although each operand has exponent
.