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Appendix A: Operating Limits 80
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argument having a value that is within ±N counts (see table below) in the 10th
(least significant) digit of the actual input argument. For example,
1.609437912 is given as the natural log of 5 when calculated on the HP-65. However, this is an
approximation because the result displayed (1.6094379l2) is actually the natural log of a number
between 4.999999998 and 5.000000002, which is ±2 counts (N=2 for logarithms)
in the 10th (least significant) digit of the actual input argument.
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OPERATION
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VALUES FOR N
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fLOG
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fLN
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2
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f-1LN
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trigonometric
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3
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gyX
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4 for y, and 10 for x
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f-1LOG
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7
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fR P
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4
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f-1R P
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An additional error in the 10th least significant digit of the displayed
result is ± 1 count for fLN and ± 3 1 counts for fLOG.
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Trigonometric operations have an additional accuracy limitation of
± 1 × 10–9 in the displayed answer.
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Calculating Range
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To ensure greater accuracy, the HP-65 performs all calculations by using a 10-digit number and a power
of 10. This abbreviated form of expressing numbers is called scientific notation i.e.,
23712.45 = 2.371245 × 104 in scientific notation.
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Underflow
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If a result develops that is too small in magnitude (<10–99) to be carried in a register,
the register is set to zero and the program stops running.
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