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Widening the scope intended from 'financial and tax' to decimal fractions, added distinction between binary and decimal datatypes. |
signed zeroes are not a different value, thus the same cohort Tags: Reverted Visual edit |
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== Format ==
Decimal64 supports 16 [[decimal digit]]s of [[significand]] and an [[exponent]] range of −383 to +384, i.e. {{gaps|±0.000|000|000|000|000|e=-383}} to {{gaps|±9.999|999|999|999|999|e=384}}. (Equivalently, {{gaps|±0|000|000|000|000|000|e=-398}} to {{gaps|±9|999|999|999|999|999|e=369}}.) In contrast, the corresponding binary format, which is the most commonly used type, has an approximate range of {{gaps|±0.000|000|000|000|001|e=-308}} to {{gaps|±1.797|693|134|862|315|e=308}}. Because the significand is not normalized, most values with less than 16 [[significant digits]] have multiple possible representations; {{gaps|1 × 10<sup>2</sup>|{{=}}|0.1 × 10<sup>3</sup>|{{=}}|0.01 × 10<sup>4</sup>}}, etc. This set of representations for a same value is called a ''[[Cohort (floating point)|cohort]]''. Zero has 768 possible representations (1536 if both [[signed zero]]s are included
== Encoding of decimal64 values ==
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