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Round-off error, Special displays, Annunciators – HP 15c User Manual

Page 60: Digit separators, Mantissa display

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60

Section 5: The Display and Continuous Memory

Mantissa Display

Regardless of the display format, the HP-15C always internally holds each
number as a 10-digit mantissa and a two-digit exponent of 10. For example,
π is always represented internally as 3.141592654×10

00

, regardless of what

is in the display.

When you want to view the full 10-digit mantissa of a number in the X-
register, press ´ CLEAR u. To keep the mantissa in the display,
hold the u

key down.

Keystrokes

Display

| $

3.1416

´ CLEAR
u (hold)

3141592654

Round-Off Error

As mentioned earlier, the HP-15C holds every value to 10 digits internally.
It also rounds the final result of every calculation to the 10th digit. Because
the calculator can provide only a finite approximation for numbers such as

or 2/3 (0.666…), a small error due to rounding can occur. This error can be
increased in lengthy calculations, but usually is insignificant. To accurately
assess this effect for a given calculation requires numerical analysis beyond
our scope and space here! Refer to the HP-15C Advanced Functions
Handbook
for a more detailed discussion.

Special Displays

Annunciators

The HP-15C display contains eight annunciators that indicate the status of
the calculator for various operations. The meaning and use of these
annunciators is discussed on the following pages:

*

Low-power indication, page 62.

USER

User mode, pages 79 and 144.

f and g

Prefixes for alternate functions, pages 18-19.

RAD and GRAD

Trigonometric modes, page 26.

C

Complex mode, page 121.

PRGM

Program mode, page 66.