HP41: accuracy of 13digit routines

09012015, 09:23 PM
Post: #1




HP41: accuracy of 13digit routines
It is well known that the HP41 internally uses extended precision routines with 13 significant digits, so that the finally returned 10digit result usually can be considered accurate in all its ten digits.
But what about the 13digit routines? I read Ángel Martin's PDF on the "HP41 13digit OS routines", but while I found lots of useful information, nothing was said about the actual accuracy of these routines. In other words: do they really provide correctly rounded 13digit results under all circumstances? Or may the results be truncated instead of rounded? Or maybe even the last digit may be slightly off? Here I remember the good old TI58/59 with their 13digit precision ...but not always 13digit accuracy. I also own a nonHP RPN calculator (an SR54NC) with 12digit precision (and display), but the result sometimes does not carry more than 11 or even 10 valid digits. So my question is: how does the HP41 perform in this regard? Dieter 

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