Timeline for Smallest number close to 0 in IEEE754 (64bits)?
Current License: CC BY-SA 3.0
7 events
when toggle format | what | by | license | comment | |
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Mar 12, 2016 at 10:24 | comment | added | Yuval Filmus | Fortunately, this is covered in the ample documentation on the standard. | |
Mar 12, 2016 at 8:54 | comment | added | user47513 | @YuvalFilmus When all exponents are 0, then does the exponent become 2^(-1022) or 2^(-1023) when represented in numbers of base 10? | |
Mar 7, 2016 at 15:05 | comment | added | Anton Trunov | @jin A little bit of nitpicking. Significand: "However, this use of mantissa is discouraged by the IEEE floating-point standard committee and by some professionals such as William Kahan and Donald Knuth, because it conflicts with the pre-existing use of mantissa for the fractional part of a logarithm (see also common logarithm)". | |
Mar 7, 2016 at 14:48 | comment | added | Yuval Filmus | That's right. These are the mysterious denormalized numbers. | |
Mar 7, 2016 at 14:47 | comment | added | user47513 | Oh I see!! Thanks for the answer! So when we want to represent a number under a machine epsilon, an exponent of zeroes+mantissa represents 0.mantissa? | |
Mar 7, 2016 at 14:44 | vote | accept | CommunityBot | ||
Mar 7, 2016 at 14:13 | history | answered | Yuval Filmus | CC BY-SA 3.0 |