Sharp EL501WBBK Operation Manual - Page 3

Error And Calculation Ranges - calculator

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Coordinate Conversions • Before performing a calculation, select the angular unit. Y P (x,y) Y P (r,θ ) y ↔ r 0 x X θ 0 X Rectangular coord. Polar coord. BINARY, OCTAL, DECIMAL, AND HEXADECIMAL OPERATIONS (N-BASE) This calculator can perform the four basic arithmetic operations, calculations with parentheses and memory calculations using binary, octal, decimal, and hexadecimal numbers. When performing calculations in each system, first set the calculator in the desired mode before entering numbers. It can also perform conversions between numbers expressed in binary, octal, decimal and hexadecimal systems. Conversion to each system is performed by the following keys: Ï ê : Converts to the binary system. "BIN" appears. Ï î : Converts to the octal system. "OCT" appears. Ï ì : Converts to the hexadecimal system. "HEX" appears. Ï í : Converts to the decimal system. "BIN", "OCT", and "HEX" disappear from the display. Conversion is performed on the displayed value when these keys are pressed. Note: In this calculator, the hexadecimal numbers A - F are A B C D E entered by pressing E I, F and l, and displayed as follows: A → å, B → ∫, C → ç, D → ∂, E → é, F → ƒ In the binary, octal, and hexadecimal systems, fractional parts cannot be entered. When a decimal number having a fractional part is converted into a binary, octal, or hexadecimal number, the fractional part will be truncated. Likewise, when the result of a binary, octal, or hexadecimal calculation includes a fractional part, the fractional part will be truncated. In the binary, octal, and hexadecimal systems, negative numbers are displayed as a complement. COMPLEX NUMBER CALCULATIONS To carry out addition, subtraction, multiplication, and division using complex numbers, press @π to select the complex number mode. • A complex number is represented in the a + bi format. The "a" is the real part while the "bi" is the imaginary part. When inputting the real part, after inputting the number press a. When inputting the imaginary part, after inputting the number press b. To obtain the result press =. • Immediately after completing calculation, you can recall the value of the real part with a, and the value of the imaginary part with b. • If the complex numbers are represented as polar coordinates, press @} after they are input with a and b. STATISTICAL CALCULATIONS Press @ Æ to select statistics mode. The following statistics can be obtained: x Mean of samples (x data) sx Sample standard deviation (x data) σx Population standard deviation (x data) n Number of samples Σx Sum of samples (x data) Σx2 Sum of squares of samples (x data) Data Entry and Correction Entered data are kept in memory until @ Æ or F are pressed. Before entering new data, clear the memory contents. [Data Entry] Data k Data * frequency k (To enter multiples of the same data) [Data Correction] Correction prior to pressing k: Delete incorrect data with ª. Correction after pressing k: Reenter the data to be corrected and press @ J. • The number displayed after pressing k or @ J during data entry or correction is the number of samples (n). Statistical Calculation Formulas In the statistical calculation formulas, an error will occur when: • the absolute value of the intermediate result or calculation result is equal to or greater than 1 × 10100. • the denominator is zero. • an attempt is made to take the square root of a negative number. ERROR AND CALCULATION RANGES Errors An error will occur if an operation exceeds the calculation ranges, or if a mathematically illegal operation is attempted. In the case of an error, the display will show "E". An error can be cleared by pressing ª. Calculation Ranges • Within the ranges specified, this calculator is accurate to ±1 of the least significant digit of the mantissa. However, a calculation error increases in continuous calculations due to accumulation of each calculation error. (This is the same for yx, x¿ , ex, ln, etc., where continuous calculations are performed internally.) Additionally, a calculation error will accumulate and become larger in the vicinity of inflection points and singular points of functions. • Calculation ranges ±10-99 ~ ±9.999999999×1099 and 0. If the absolute value of an entry or a final or intermediate result of a calculation is less than 10-99, the value is considered to be 0 in calculations and in the display.

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STATISTICAL CALCULATIONS
Press
@
Æ
to select statistics mode.
The following statistics can be obtained:
x
Mean of samples (
x
data)
sx
Sample standard deviation (
x
data)
σ
x
Population standard deviation (
x
data)
n
Number of samples
Σ
x
Sum of samples (
x
data)
Σ
x
2
Sum of squares of samples (
x
data)
Data Entry and Correction
Entered data are kept in memory until
@
Æ
or
F
are pressed. Before entering new data, clear the memory
contents.
[Data Entry]
Data
k
Data
*
frequency
k
(To enter multiples of the same
data)
[Data Correction]
Correction prior to pressing
k
:
Delete incorrect data with
ª
.
Correction after pressing
k
:
Reenter the data to be corrected and press
@
J
.
The number displayed after pressing
k
or
@
J
during data entry or correction is the number of samples
(
n
).
Statistical Calculation Formulas
In the statistical calculation formulas, an error will occur when:
the absolute value of the intermediate result or calculation
result is equal to or greater than 1
×
10
100
.
the denominator is zero.
an attempt is made to take the square root of a negative
number.
BINARY, OCTAL, DECIMAL, AND
HEXADECIMAL OPERATIONS (N-BASE)
This calculator can perform the four basic arithmetic opera-
tions, calculations with parentheses and memory calcula-
tions using binary, octal, decimal, and hexadecimal num-
bers.
When performing calculations in each system, first set the
calculator in the desired mode before entering numbers.
It can also perform conversions between numbers expressed
in binary, octal, decimal and hexadecimal systems.
Conversion to each system is performed by the following
keys:
Ï
ê
:
Converts to the binary system.
BIN
appears.
Ï
î
:
Converts to the octal system.
OCT
appears.
Ï
ì
:
Converts to the hexadecimal system.
HEX
appears.
Ï
í
:
Converts to the decimal system.
BIN
,
OCT
,
and
HEX
disappear from the display.
Conversion is performed on the displayed value when these
keys are pressed.
Note: In this calculator, the hexadecimal numbers A
F are
entered by pressing
E
,
Ñ
,
,
´
,
I
,
and
l
, and displayed as follows:
A
å
, B
, C
ç
, D
, E
é
, F
ƒ
In the binary, octal, and hexadecimal systems, fractional
parts cannot be entered. When a decimal number having a
fractional part is converted into a binary, octal, or hexadeci-
mal number, the fractional part will be truncated. Likewise,
when the result of a binary, octal, or hexadecimal calculation
includes a fractional part, the fractional part will be trun-
cated. In the binary, octal, and hexadecimal systems, nega-
tive numbers are displayed as a complement.
F
A
B
C
D
E
COMPLEX NUMBER CALCULATIONS
To carry out addition, subtraction, multiplication, and division
using complex numbers, press
to select the com-
plex number mode.
A complex number is represented in the a + bi format. The
a
is the real part while the
bi
is the imaginary part.
When inputting the real part, after inputting the number
press
a
. When inputting the imaginary part, after in-
putting the number press
b
. To obtain the result press
=
.
Immediately after completing calculation, you can recall
the value of the real part with
a
, and the value of the
imaginary part with
b
.
If the complex numbers are represented as polar coordi-
nates, press
@}
after they are input with
a
and
b
.
ERROR AND CALCULATION RANGES
Errors
An error will occur if an operation exceeds the calculation
ranges, or if a mathematically illegal operation is attempted.
In the case of an error, the display will show
E
.
An error can be cleared by pressing
ª
.
Calculation Ranges
Within the ranges specified, this calculator is accurate to
±1 of the least significant digit of the mantissa. However, a
calculation error increases in continuous calculations due
to accumulation of each calculation error. (This is the
same for
y
x
,
x
¿
,
e
x
,
ln
, etc., where continuous calculations
are performed internally.)
Additionally, a calculation error will accumulate and
become larger in the vicinity of inflection points and
singular points of functions.
Calculation ranges
±10
-99
~ ±9.999999999
×
10
99
and 0.
If the absolute value of an entry or a final or intermediate
result of a calculation is less than 10
99
, the value is consid-
ered to be 0 in calculations and in the display.
Coordinate Conversions
Before performing a calculation, select the angular unit.
Rectangular coord.
Polar coord.
P (
x
,
y
)
X
Y
0
y
x
P (
r
,
θ
)
X
Y
0
r
θ