4 number of digits and precision, Number of digits and precision – Casio ClassPad 300 PLUS User Manual

Page 724

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4 Number of Digits and Precision

k Number of Digits

Standard Mode

The following applies when the check box next to the “Decimal Calculation” item on the
Basic Format dialog box is not selected.

• Up to 611 digits are stored in memory for integer values.

• Decimal values up to 15 digits are converted to fraction format and saved in memory. When

a mathematical expression cannot be converted to fraction format, the result is displayed in
decimal format.

• Values stored in memory are displayed as-is, regardless of how [Display] settings

(Normal 1, Normal 2, Fix 0 – 9, Sci 0 – 9) are configured (except when a decimal value is
displayed).

Decimal Mode

The following applies when the check box next to the “Decimal Calculation” item on the
Basic Format dialog box is selected.

• Values stored in Ans memory have the same number of digits as they have when

displayed. A value that is assigned to a variable has the same number of digits as defined
for Standard mode values.

• Values are displayed in accordance with how [Display] settings (Normal 1, Normal 2,

Fix 0 – 9, Sci 0 – 9) are configured.

• Displayed values are rounded to the appropriate number of decimal places.

• Some applications store values using a mantissa up to 15 digits long and a 3-digit

exponent.

k Precision

• Internal calculations are performed using 15 digits.
• The error for a single mathematical expression (Decimal mode calculation error) is

±1 at

the 10th digit. In the case of exponential display, calculation error is

±1 at the least

significant digit. Note that performing consecutive calculations causes error to be
cumulative. Error is also cumulative for internal consecutive calculations performed for:
^(

x

y

),

x

,

x

!,

n

P

r

,

n

C

r

, etc.

• Error is cumulative and tends to be larger in the vicinity of a function’s singular point(s) and

inflection point(s), and the vicinity of zero. With sinh(

x

) and tanh(

x

), for example, the

inflection point occurs when

x

= 0. In this vicinity, error is cumulative and precision is poor.

α

-4-1

Number of Digits and Precision

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