Did you know the 2nd bathch of Spice calculators are more accurate?
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05-19-2023, 08:08 AM
Post: #7
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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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