|Re: Some observations on the new HP30S|
Message #4 Posted by John H Meyers on 27 June 2000, 12:30 a.m.,
in response to message #1 by Roy Scott
"The HP30S computes the infamous 2^301 example that is in the Advanced functions handbook of the former HP15C"
Not 2^301; it was 3^201 ( = 27^67 = 729^33.5 )
That example was also a "worst case known" for a final 10-digit mantissa (maybe 13-digit internal intermediate mantissa); each different system, whether differing in number of BCD digits, or using binary FP, etc., may have its own different "jawbreakers" :)
The different equivalents also provided a method of comparing the accuracy for different (but theoretically equal-valued) problems; finally, 7.29^33.5 must end up having the same *decimal* mantissa digits (1/10^67 of the original answer), but is usually more accurately computed.
You can, of course, now get the *exact* answer, right down to the last digit, on your HP49G :)
Best wishes from: firstname.lastname@example.org