From: quadibloc@invalid.invalid   
      
   On Fri, 28 Nov 2025 05:19:31 +0000, John Savard wrote:   
      
   > But I think I'd have to learn more about numerical analysis to make an   
   > intelligent comment on this matter.   
      
   I had thought that rounding ties to even would result in the correct   
   rounding for a reduced precision... if the precision were reduced only by   
   one bit, which is a case that does not occur in practice.   
      
   But now I've found another Wikipedia article which clarified things for   
   me. It turns out that rounding ties to odd does have one important   
   benefit. It means that the rounding of ties, at least, will never result   
   in the exponent of the result changing.   
      
   Since rounding to nearest when it isn't a tie can still change the   
   exponent, it's not clear to me that this is all that important. Rounding   
   to even or to odd both have the virtue of avoiding bias, of course.   
      
   John Savard   
      
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