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Did you know the 2nd bathch of Spice calculators are more accurate?
05-19-2023, 08:08 AM
Post: #7
RE: Did you know the 2nd bathch of Spice calculators are more accurate?
Thanks Eric for the information, so it makes sense that the 32E and 34C have the same improvement. I don't own a 38C so can't check.
BTW, I didn't know that the 38E and 38C have different firmware, contrary to the 33E/33C.
Maybe the accuracy improvement was regarded as important enough for financial models to justify a firmware upgrade.
Do we know if there are other functional changes in the 38C compared to the 38E?

On my side, I traced the code and recorded the intermediate 13-digit results for 3^201 = exp(201*ln(3)), on the 33E and 41C:
(using the multicalc emulator and my emu41 respectively - sorry Eric, can't run Nonpareil on my W11 machine ;-)

                             HP-33E                  HP-41C
ln(3) =              1.098612288665        1.098612288667       (exact: 1.098612288668)
201*ln(3) =        220.8210700216        220.8210700220       (correct truncated values)
exp(201*ln(3)) = 7.968419660804e95   7.968419663994e95   (should be: 7.968419660777e95 and 7.968419663965e95 resp.)
rounded to :       7.968419661e95        7.968419664e95

The difference is all due to the slightly better LN result, by 2 units in the 13th place that propagate to 3 units in the 10th place in the final rounded result.

J-F
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RE: Did you know the 2nd bathch of Spice calculators are more accurate? - J-F Garnier - 05-19-2023 08:08 AM



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