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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