HP -65 Owner's Handbook Manual page 82

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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 argu-
ment. For example, 1.609437912 is given as the natural log of 5
when calculated on the HP-65. However,this is an approxima-
tion because the result displayed (1.609437912) 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 sig-
nificant) digit of the actual input argument.
OPERATION
VALUES FOR N
H tod
2*
trigonometric
3**
4 fory,and 10 forx
7
# -0
4
*An additional error in the 10th least significant digit of
the displayed result is = 1 countfor [f]
and == 3
counts for [
.
**Trigonometric operations have an additional accuracy
limitation of == 1 X 10~ in the displayed answer.
Calculating Range
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 number is called scientific notation; i.e.,
23712.45=2.371245 x 10! in scientific notation.
Underflow
If a result develops that is too small in magnitude (< 10-°) to be
carried in a Tegister, the register is set to zero and the program
stops, if running.

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