Citizen SRP-280N User Manual [ru]
SRP-280N/SRP-285N
SR285,A COVER front
HDBSR285T19
(SR285,A)
2010/04/26
140X75mm
General Guide .................................................3
Before starting calculation............................. 5
Mode 0 - MAIN ............................................... 11
Turning On And Off.........................................3
Battery Replacement ......................................3
Auto Power-Off Function................................ 3
Reset Operation..............................................3
Contrast Adjustment.......................................4
Display Readout .............................................4
Changing a mode ...........................................5
Selecting an item from display menus...........5
Using " 2nd " Keys .........................................5
Cursor............................................................. 5
Making corrections during input.................... 6
Replay function ..............................................6
Error Position Display Function.....................6
Memory Calculation........................................6
Order Of Operations .......................................7
Accuracy And Capacity ..................................8
Error Conditions........................................... 10
Arithmetic Calculations................................ 11
Display formats.............................................11
Parentheses Calculation ..............................11
Percentage Calculation ................................ 12
Continuous calculation function.................. 12
Answer Function ..........................................12
Logarithm And Antilogarithm....................... 12
Fraction Calculation ..................................... 12
Angle Unit Conversion .................................13
Trigonometric / Inverse-Tri. Functions.........14
Hyperbolic / Inverse-Hyp. Functions............14
Coordinates Transformation ........................ 14
Probability ....................................................14
Other Functions ( x–1, √, X, x 2, ^ ) ..........15
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Mode 1 - STAT................................................16
Mode 2 - Base-n.............................................19
Mode 3 - CPLX ...............................................20
Mode 4 - VLE .................................................20
Mode 5 - QE ...................................................20
Unit Conversions.......................................... 15
Physical Constants.......................................15
Single-Variable / Tw o-Variable Statistics .....16
Process capability........................................ 17
Probability distribution ................................17
Linear regression .........................................18
Correcting data............................................. 18
Bases conversions.......................................19
Negative expression..................................... 19
Basic arithmetic operations for bases......... 20
Logical operation .........................................20
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General Guide
Turning On And Off
To turn the calculator on, press [ ON ] ; To turn the calculator off,
press [ 2nd ] [ OFF ].
Battery Replacement
SRP-280N is powered by one alkaline battery (G13/LR44).
SRP-285N is dual power system which is powered by one alkaline
battery (G13/LR44) and a solar cell. If the display becomes dim and
difficult to read (especially when lighting is dim for SRP-285N), the
battery should be replaced as soon as possible.
To replace battery :
1) Remove the screw and the battery compartment cover.
2) Remove the old battery and insert a new one with polarity in
correct directions, then replace the cover.
3) After changing battery, please use a pointed object to press the
reset hole in the rating label area located at the rear of this unit.
Auto Power-Off Function
This calculator automatically turns it off when not operated for
approximately 6~12 minutes. It can be reactivated by pressing [ ON ]
key and the display, memory, settings are retained.
Reset Operation
If the calculator is on but you get unexpected results, press [ 2nd ]
[ RESET ] in sequence. A message appears on the display to
confirm whether you want to reset the calculator and clear memory
contents.
RESET : N Y
Move the cursor to " Y " by [ ], then press [ ] to clear all
variables, programs, pending operations, statistical data, answers,
all previous entries, and memory; To abort the reset operation
without clearing the calculator, please choose " N " .
If the calculator is lock and further key operations becomes
impossible, please use a pointed object to press the reset hole to
release the condition. It will return all settings to default settings.
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DEG
rees,
DEG
entific notation
SCI
72.85714286
GRAD
s, or
Result line
RAD
Ind ica tor
s
Contrast Adjustment
Pressing the [ ] or [ ] following [ MODE ] key can make the
contrast of the screen lighter or darker. Holding either key down will
make the display become respectively lighter or darker.
Display Readout
The display comprises the entry line, the result line, and indicators.
Indicat or
Entry line
The calculator displays an entry of up to 76 digits.
Entry line
Result line
The following indicators appear on the display to
Indicators
Indicator Meaning
Independent memory
M
Result is negative
–
2nd set of function keys is active.
2nd
Mode selection is active
MODE
Main mode is active
MAIN
Statistics mode is active
STAT
Base-n mode is active
Base-n
Variable linear equation mode is active
VLE
Quadratic equation mode is active
QE
Complex number mode is active
CPLX
Angle mode :
DEGRAD
ENGSCI ENG
Number of decimal places displayed is fixed
TAB
Hyperbolic-trig function will be calculated
HYP
While an operation is executing
BUSY
MA IN
74 – 8 / 7
Entries begin on the left ; those with more than 11
digits scroll to the left. Press [ ] and [ ] to move the
cursor through an entry. Press [ 2nd ] [ ] or [ 2nd ]
[ ] to move the cursor immediately to the beginning
or end of the entry.
It displays a result of up to 10 digits, as well as a
decimal, a negative sign, a " x10 " indicator, and a
2-digits positive or negative exponent. Results that
exceed the digit limit are displayed in scientific
notation.
indicate you the current status of the calculator.
ineering or
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There are digits to the left or right of the display
There are earlier or later results that can be displayed
Before starting calculation
Changing a mode
Pressing [ MODE ] can enter mode menus. You can choose one of
six operating modes, including "
"
", "
3)CPLX
Give "
2)Base-n
Method 1 : Scroll through the menus using [ ] or [ ] until "
Method 2 : Key in directly the number of the mode, [ 2 ] , to enter
Selecting an item from display menus
Many functions and settings are available on menus. A menu is a list
of options displayed across the entry line.
Give " Pressing [ DRG ] key displays the menu for choosing the
angle setting under MAIN mode " as an example :
Method : Press [ DRG ] to display the menu, and then move the
For menu items followed by an argument value, you can press
[ ] while the item is underlined or enter directly the
corresponding argument value.
Using " 2nd " Keys
When you press [ 2nd ], the "
to tell you that you will be selecting the second function of the next
key you press. If you press [ 2nd ] by mistake, simply press [ 2nd ]
again to remove the "
Cursor
Pressing [ ] or [ ] key can move the cursor to the left or the right.
Hold down any of those keys to move the cursor at high speed.
Pressing [ ] or [ ] can scroll the display up or down while there
are previous entries hidden the display. You can reuse or edit a
previous entry when it is on the entry line.
", "
4)VLE
5)QE
" as an example :
2)Base-n " is shown, then enter the desired mode by
pressing [ ].
the desired mode immediately.
cursor [ ] or [ ] to an item you want. Press [ ]
while the item is underlined.
" indicator.
2nd
", "
0) MAIN
".
" indicator shown in the display is
2nd
1)STAT
", "
2)Base-n
",
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Making corrections during input
To delete a character at the cursor, make the character underlined
by using [ ] or [ ] to move the cursor, and then press [ DEL ] to
delete the character.
To replace a character, make the character underlined by using [ ]
or [ ] to move the cursor, and then enter a new entry to replace the
character.
To insert a character, move the cursor to the position of the
character where you want to insert, it will be inserted in the front of
the character after pressing [ 2nd ] [ INS ] and entering a new
character.
(Note) : The blinking cursor " " means the calculator is in insert
mode. On the contrary, the blinking cursor is displayed
To clear all characters, clear all input character by [ CL ] key.
z
z
z
z
as " _ " and it means the calculator is in overwrite mode.
Replay function
This function stores the latest operation executed. After execution
is complete, pressing [ ] or [ ] key will display the operation
from the beginning or the end. You can continue moving the
cursor by [ ] or [ ] to edit it. To delete a digit, press [ DEL ]. ( or,
in overwrite mode, just type over the digit). See Example 1.
The replay function can keep input digits up to 254 characters.
After execution is complete or during entering, you can press
either [ ] or [ ] to display previous input steps and edit values
or commands for subsequent execution. See Example 2.
(Note) : The replay function isn't cleared even when [ CL ] is
pressed or power is turned off, so contents can be
recalled even after [ CL ] is pressed. However, replay
function is cleared when mode or operation is switched.
Error Position Display Function
When a mathematically illegal calculation is performed, error
position display function will tell you with the cursor where the
error is. Press [ ] or [ ] to move the cursor and then give it a
correct entry. You can also clear an error by pressing [ CL ] and
then re-entered the values and expression from the beginning.
See Example 3.
Memory Calculation
Press [ M+ ] to add a result to running memory. Press [ 2nd ] [ M– ]
to subtract the value from running memory. To recall the value in
running memory, press [ MRC ]. To clear running memory, press
[ MRC ] twice. See Example 4.
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z
The calculator has ten memory variables for repeated use :
C, X, Y, M, X1, X2,
number in variables
PROG1
and
. See Example 5.
PROG2
and
PROG1
A, B, C, X, Y, M, X1, X2
PROG2
. You can store a real
and an expression in
A, B,
* [ P/V RCL ] recalls all variables.
* [ SAVE ] lets you store values to variables.
* [ 2nd ] [ RECALL ] recalls the value of variable.
* [ 2nd ] [ CL-VAR ] clears all variables except
* [ 2nd ] [ CL-PROG ] clears the contents of
(Note) : Besides pressing [ SAVE ] key to store a value, you can
also assign values to memory variable M by [ M+ ] or
[ 2nd ] [ M– ]. However, anything currently stored in
variable M will be deleted and replaced by the newly
assigned value.
Order Of Operations
PROG1, PROG2
PROG1, PROG2
.
.
Each calculation is performed in the following order of precedence :
1) Expression inside parentheses.
2) Coordinates transformation, and Type B functions which are
required pressing the function key before entering, for example,
sin, cos, tan, sin –1, cos –1, tan –1, sinh, cosh, tanh, sinh –1,
–1
, tanh –1, log, ln, 10 X, e X, √, NEG, NOT, X'( ), Y'( )
cosh
3) Type A functions which are required entering values before
pressing the function key, for example, x
g.
2
, ,!,x–1, %, r,
4) Exponentiation ( ^ ), X
5) Fractions
6) Abbreviated multiplication format in front of variables,π,
RANDM, RANDMI.
7) ( – )
8) Abbreviated multiplication format in the front of Type B
functions, 23, Alog2, etc.
9) nPr, nCr
10) x ,
11) +, –
12) AND, NAND
13) OR, XOR, XNOR
14) Conversion( a b/
• When functions with the same priority are used in series,
execution is performed from right to left.
d
/e, F D, DMS )
c
e X ln120 Æ e X { ln (120 ) }
otherwise, execution is from left to right.
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• Compound functions are executed from right to left.
• Anything contained within parentheses receives the
highest priority.
Accuracy And Capacity
Output digits : Up to 10 digits
Calculating digits : Up to 24 digits
In general, every reasonable calculation is displayed up to 10 digits
mantissa, or 10-digits mantissa plus 2-digits exponent up to 10
Numbers used as input must be within the range of the given
function as follow :
Functions
sin x
cos x
tan x
Deg :
Rad :
Grad :
< 4.5 x 10
x
< 2.5 x 10
x
< 5 x 10
x
Input range
10
deg
8
π
rad
10
grad
± 99
.
however, for tan x
Deg :
≠ 90 (2n+1)
x
π
≠
(2n+1)
x
2
≠ 100 (2n+1), (n is an integer)
x
≤ 1
100
< 1 x 10
≤ 230.2585092
100
< 1 x 10
< 5 x 10 99
99
< 1
–99
≤ x < 1 x 10
100
100
100
< x < 100
< x ≤ 230.2585092
100
< 1 x 10 50
100
< 1 x 10
, x ≠ 0
–1
–1
sin
x, cos
–1
tan
x
sinh x, cosh x
tanh x
–1
sinh
x
–1
cosh
x
–1
tanh
x
log x, ln x
10 x
e x
x
x 2
x -1
x !
Rad :
Grad :
x
x
x
x
x
x
1 ≤ x < 5 x 10
x
1 x 10
–1 x 10
–1 x 10
0 ≤ x < 1 x 10
x
x
0 ≤ x ≤ 69, x is an integer.
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P (x, y)
R (r, θ)
DMS
x y
x
nPr, nCr
STAT
100
22
< 1 x 10
y+x
0 ≤ r < 1 x 10
：│θ│
Deg
：│θ│
Rad
：│θ│
Grad
100
4.5 x 10 10 deg
<
8
π
2.5 x 10
<
5 x 10 10 grad
<
rad
however, for tanθ
：│θ│≠
Deg
Rad：│θ│≠
Grad
│DD│, MM, SS.SS ＜ 1 x 10
0 ≤ MM, SS.SS
x
x > 0 : –1 x 10
：│θ│≠
100
< 10
90 (2n+1)
π
(2n+1)
2
100 (2n+1), (n is an integer)
100
,
100
< y log x < 100
x = 0 : y > 0
x < 0 : y = n, 1/(2n+1), n is an integer.
100
y
but –1 x 10
y > 0 : x ≠ 0, –1 x 10
< y log ⏐x⏐ < 100
1
100
<
x
log y < 100
y = 0 : x > 0
y < 0 : x = 2n+1, 1/n, n is an integer. (n≠0)
1
100
but –1 x 10
0 ≤ r ≤ n, n ≤ 10
< 1 x 10
x
1–VAR : n ≤ 40, 2–VAR : n ≤ 40
FREQ. = n, 0 ≤ n < 10
1–VAR mode.
σx,σ
log ⏐y⏐ < 100
<
x
100
, n,r are integers.
100
,
< 1 x 10
y
100
y,x,y,a, b, r : n≠0 ;
100
: n is an integer in
Sx, Sy：n, n≠0, 1
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Base–n DEC :
Error Conditions
Error message will appear on the display and further calculation
becomes impossible when any of the following conditions occur.
DOMAIN Er
DIVIDE BY 0
OVERFLOW Er
STAT Er
SYNTAX Er
NO SOL
MULTI SOLS
NO REAL SOL
LENGTH Er
OUT OF SPEC
To release the above errors, please press [ CL ] key.
– 2147483648 ≤ x ≤ 2147483647
BIN :
10000000000000000000000000000000 ≤ x ≤
11111111111111111111111111111111 ( for neg ativ e)
0 ≤ x ≤ 01111111111111111111111111111111
(for zero, positive)
OCT :
20000000000 ≤ x ≤ 37777777777(for negative)
0 ≤ x ≤ 17777777777 (for zero or positive)
HEX :
80000000 ≤ x ≤ FFFFFFFF (for negative)
0 ≤ x ≤ 7FFFFFFF ( for zero or positive)
(1) When specifying an argument to a function
outside the valid range.
(2)
value (in
FREQ
non-integer.
(3) When USL value < LSL value
You attempted to divide by 0.
When result of function calculations exceeds
the range specified.
When in MAIN, CPLX, VLE, or QE mode, press
[ DATA ] or [ STATVAR ].
(1) Input errors are made.
(2) When improper arguments are used in
commands or functions that require
arguments.
There is no solution or infinite to the
simultaneous equation under VLE mode.
There is no real solution to quadratic equation
under QE mode.
An entry exceeds 84 digits after implied
multiplication with auto-correction.
You input a negative CPU or CPL value, where
X–USL
=C
PU
,
σ 3
1–VAR
PL
stats) < 0 or
LSL–X
=C
σ 3
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Mode 0 - MAIN
Arithmetic Calculations
z
Arithmetic operations are performed by pressing the keys in the
same sequence as in the expression. See Example 6.
z
For negative values, press [ (−) ] before entering the value. See
Example 7.
z
For mixed arithmetic operations, multiplication and division are
given priority over addition and subtraction. See Example 8.
z
Results greater than 10
exponential form. See Example 9.
Display formats
z
Decimal places formats are selected by pressing [ 2nd ] [ TAB ] to
display the menu. To set decimal places to
value directly or press [ ] key while the item is
enter a
n
underlined. (The default setting is floating point notation
value is • ). See Example 10.
n
z
Even if the number of decimal places is specified, internal
calculation for a mantissa is performed up to 24 digits, and the
display value is stored in 10 digits. To round off those values to
the specified number of decimal places, press [ 2nd ] [ RND ].
See Example 11~12.
z
Number display formats are selected by pressing [ 2nd ]
[ SCI/ENG ] to display the menu. The items on the menu are
(for floating point),
Press [
then press [
(Note) : The engineering format is similar to the scientific format,
except the mantissa can have up to three digits left of
the decimal, instead of only one, and the exponent is
always a multiple of three. It is useful for engineers to
z
z
z
convert units based on multiples of 10
You can enter a number in mantissa and exponent form by [ EXP ]
key. See Example 14.
Parentheses Calculation
Operations inside parentheses are always executed first. The
calculator can use up to 13 levels of consecutive parentheses in a
single calculation. See Example 15.
Closed parentheses occurring immediately before operation of the
] key may be omitted, no matter how many are required.
[
See Example 16.
( for scientific), and
SCI
] or [ ] until the desired formats is underlined, and
]. See Example 13.
10
or less than 10
E – 11
-9
are displayed in
(
n
F0123456789
(for engineering).
ENG
3
.
and the
F
FLO
),
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z
A multiplication sign " x " occurring immediately before an open
parenthesis can omitted. See Example 17.
(Note) : The calculator can auto-correct abbreviated
multiplication in front of all functions, except memory
z
z
z
z
z
z
z
Fraction value display is as follow :
variables, left parenthesis, type B functions.
Henceforth, abbreviated type will not be used in this manual.
See Example 18.
The correct result cannot be derived by entering [ ( ] 2 [ + ] 3 [ ) ]
[ EXP ] 2. Be sure to enter [ x ] 1 between the [ ) ] and [ EXP ] in
the below example. See Example 19.
Percentage Calculation
[ 2nd ] [ % ] divides the number in the display by 100. You can use
this key sequence to calculate percentages, add-ons, discounts,
and percentages ratios. See Example 20~21.
Continuous calculation function
The calculator enables you to repeat the last operation executed
by pressing [
22.
Even if calculations are concluded with the [ ] key, the
result obtained can be used for further calculation. See Example
23.
Answer Function
Answer function stores the most recently calculated result. It is
retained even after the power is turned off. Once a numeric value
or numeric expression is entered and [
result is stored by this function. See Example 24.
(Note) : Even if execution of a calculation results in an error,
Logarithm And Antilogarithm
The calculator can calculate common and natural logarithms and
anti-logarithms using [ log ], [ ln ], [ 2nd ] [ 10
x
]. See Example 25~27.
[ e
Fraction Calculation
∪
56
] key for further calculation. See Example
however, Answer memory retains its current value.
5 / 12
Display of
5 /12 Display of 56
5
12
12
] is pressed, the
x
], and [ 2nd ]
5
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z
To enter a mixed number, enter the integer part, press [ a b/c ],
enter the numerator, press [ a
enter an improper fraction, enter the numerator, press [ a
enter the denominator. See Example 28.
z
During a fraction calculation, if the figure is reducible, a figure is
reduced to the lowest terms after pressing a function command
key ( [ + ], [ – ], [ x ] or [
b
d
/
[ 2nd ] [ a
improper fraction and vice versa. See Example 29.
z
To convert between a decimal and fractional result, press [ 2nd ]
D ] and [ ]. See Example 30.
[ F
z
Calculations containing both fractions and decimals are calculated
in decimal format. See Example 31.
Angle Unit Conversion
z
The angle units (
display the angle menu. The relation among the three angle units
is :
/e ], the displayed value will be converted to the
c
DEG, RAD, GRAD
Angle conversations ( See Example 32.
1. Change the default angle settings to the units you want to
convert to.
b
/c ], and enter the denominator ; To
] ) or the [ ] key. By pressing
) is set by pressing [ DRG ] to
=πrad = 200 grad
180
°
) :
b
/c ], and
2. Enter the value of the unit to convert.
3. Press [ DMS ] to display the menu. The units you can select
are
(degrees), ′ (minutes), ″ (seconds), r (radians), g
°
(gradians) or
DMS (Degrees-Minutes-Seconds).
4. Choose the units you are converting from.
5. Press [
z
To convert an angle to
converts an entry to
represents 1 degrees, 30 minutes, 0 seconds. See Example 33.
z
To convert a
(minutes),
] twice.
notation, select "
DMS
notations, i.e., where
DMS
notation to decimal, select °(degrees), ′
DMS
(seconds). See Example 34.
″
DMS
" which
1°30′0″
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Trigonometric / Inverse-Tri. Functions
The calculator provides standard trigonometric functions and inverse
trigonometric functions - sin, cos, tan, sin
Example 35~37.
(Note) : When using those keys, make sure the calculator is set
for the angle unit you want.
Hyperbolic / Inverse-Hyp. Functions
The calculator uses [ 2nd ] [ HYP ] to calculate the hyperbolic
functions and inverse- hyperbolic functions – sinh, cosh, tanh,
–1
, cosh –1 and tanh –1. See Example 38~39.
sinh
(Note) : When using those keys, make sure the calculator is set
for the angle unit you want.
Coordinates Transformation
Pressing [ 2nd ] [ R P ] displays a menu to convert rectangular
coordinates to polar coordinates or vice versa. See Example
40~41.
Rectangular Coordinates Polar Coordinates
x + y i = r (cos
(Note) : When using those key, make sure the calculator is set
for the angle unit you want.
Probability
z
Pressing [ PRB ] displays the probability menu. See Example
42~46. With the following functions :
Calculates the number of possible permutations of n item
nPr
taken r at a time.
Calculates the number of possible combinations of n
nCr
items taken r at a time.
Calculates the factorial of a specified positive integer n ,
!
Generates a random number between 0 and 1.
RANDM
RANDMI
≦
where n
Generates a random integer value between two specified
integers, A and B, where A
69.
–1
, cos –1 and tan –1. See
θ
+ i sinθ)
≦
random value ≦ B
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Other Functions ( x–1, √, X, x 2, ^ )
z
The calculator also provides reciprocal ( [ x –1 ] ), square root
√
] ), universal root ( [ X ] ), square ( [ x 2 ] ) and
( [
exponentiation ( [ ^ ] ) functions. See Example 47~50.
Unit Conversions
z
The calculator has a built-in unit conversion feature that enables
you to convert numbers from metric to English units and vice
versa. See Example 51.
1. Enter the number you want to convert.
2. Press [ 2nd ] [ CONV ] to display the menu. There are 7
menus, covering distance, area, temperature, capacity,
weight, energy, and pressure.
3. Use the [
appropriate units menu is shown, then [
4. Pressing [
unit.
Physical Constants
z
You can use a number of physical constants in your calculations.
See table below :
] [ ] to scroll through the list of units until a
] or [ ] can convert the number to another
].
Symbol Meaning Value
Speed of light in vacuum
c
g Acceleration of gravity 9.80665 m.s
G Gravitational constant 6.6725985 x 10
299792458 m / s
–2
–11
N.m 2 kg
Vm molar volume of ideal gas 0.0224141 m 3 mol
NA Avagadro's number 6.022136736 x 10 23mol –1
e Elementary charge 1.6021773349 x 10
me Electron mass 9.109389754 x 10
mp Proton mass 1.672623110 x 10
h Plank's constant 6.626075540 x 10
k Boltzmann's constant 1.38065812 x 10
R Gas constant 8.3145107 J / mol
F Faraday constant 96485.30929 C / mol
mn Neutron constant 1.67492861 x 10
µ Atomic mass constant 1.66054021 x 10
ε
Dielectric permittivity 8.854187818 x 10
0
µ
Magnetic permittivity 1.256637061 x 10–6 H / m
0
Flux quantum 2.0678346161 x 10
φ
0
a
Bohr radius 5.2917724924 x 10
0
µB Bohr magneton 9.274015431 x 10
µN Neutron magnetic moment 5.050786617 x 10
–31
–27
–34
–23
J.K
z
–27
–27
–12
–24
–27
E – 15
–1
–19
k
kg
kg
–15
–11
kg
kg
J.s
F/m
Azm
J / T
C
Vs
m
–2
–1
2
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To insert a constant at the cursor position ( See Example 52.
1. Press [ CONST ] to display the physical constants menu.
2. Press [
3. Press [
] until the constant you want is underlined.
].
Mode 1 - STAT
There are three menu operations in statistics menu :
analyzing data in a single dataset),
data from two datasets ) and
Example 38.
Single-Variable / Two-Variable Statistics
Step :
1. From the statistics menu, choose
press [
2. Press [ DATA ] and there are three menus:
LIMIT–SET, DISTR
[
3. Enter an x - value and press [
4. Enter the frequency (
mode) or the corresponding y - value ( in
and press [
5. To enter more data, repeat from step 3.
6. Press [ 2nd ] [ STATVAR ] and scroll through the statistical
result menus by [
you want. ( See table below )
Variable Meaning
Number of the x values or x-y pairs entered.
n
or Mean of the x values or y values
Xmax or Ymax
Xmin or Ymin
or Sy Sample standard deviation of x values or y
Sx
σ
or
x
Σ
or
x
].
].
].
Maximum of the x values or y values
Minimum of the x values or y values
values.
σ
Population standard deviation of x values or y
y
values
Σ
Sum of all x values or y values
y
2–VAR
( for clearing all datasets). See
D–CL
. Please select
FREQ
] or [
S
x
=
x
=σ
DATA–INPUT
].
) of the x - value (in
] to find out statistical variables
2
)xx(
−
∑
1n
−
2
)xx(
−
∑
n
E – 16
1–VAR
( for analyzing paired
or
1–VAR
,
,
DATA–INPUT
2–VAR
Sy
=
y
=σ
2–VAR
and press
mode )
∑
−
∑
n
) :
( for
and
1–VAR
2
)yy(
−
1n
−
2
)yy(
,
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2
Σ
Σ
Process capability
2
Σ
or
x
x y
Sum of all x 2 values or y 2 values
y
Sum of (x z y) for all x-y pairs
Step : ( See Example 53~54. )
1. Press [ DATA ] and there are three menus :
LIMIT–SET, DISTR
].
[
2. Enter an upper spec. limit value (
press [
3. Enter a lower spec. limit value (
press [
].
].
. Please select
X LSL
4. Enter the datasets you want under
5. Press [ 2nd ] [ STATVAR ] and scroll through the statistical
results menu by [
variables you want. ( See table below )
] or [
] to find out process capability
DATA–INPUT
LIMIT–SET
or
X USL
or
Y LSL
DATA–INPUT
and press
Y USL
), then
mode.
Variable Meaning
or
Cax
Capability accuracy of the x values or y values
Cay
,
or
Cpx
Potential capability precision of the x values or y
Cpy
values,
,
or
Cpkx
(Note) : When calculating process capability in
Probability distribution
Minimum (CPU, CPL) of the x values or y values,
Cpky
where C
is upper spec. limit of capability
PU
precision and C
capability precision
C
= Min (C
pkx
C
= Min (C
pky
x
and y n are independent with each other.
n
is lower spec. limit of
PL
, C
) = C px(1 – C
PUX
PLX
, C
) = C py(1 – C
PUY
PLY
2–VAR mode, the
)
ax
)
ay
Step : ( See Example 55. )
1. Based on the datasets in
there are three menu :
Please choose
2. Enter a
3. Press [ STATVAR ] and scroll through the statistical results
a
menu by [
variables you want. (See table below)
and press [ ].
DISTR
value, then press [ ].
x
] or [
mode, press [ DATA ] and
1–VAR
DATA–INPUT, LIMIT–
SET, DISTR
] to find out probability distribution
,
), then
.
E – 17
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Variable Meaning
Test value
t
Represent the cumulative fraction of the
P ( t )
R ( t )
Q ( t )
Linear regression
Step : ( See Example 56. )
1. Based on the datasets in
and scroll through the statistical results menu by [
to find out
2. To predict a value for x (or y) given a value for y (or x), select
the x ' (or y ' variable, press [
and press [
Variable Meaning
Linear regression y-intercept
a
Linear regression slope
b
Correlation coefficient
r
Predicted x values given a, b, and y vales
x '
Predicted y value given a, b, and x value.
y '
Correcting data
Step : ( See Example 57. )
1. Press [ DATA ].
2. To change x - values or the frequency of the x - value in
1–VAR
mode ), please choose
standard normal distribution that is less than the
value t
Represent the cumulative fraction of the
standard normal distribution that lies between
the value t and 0. R ( t ) =1 – ( t )
Represent the cumulative fraction of the
standard normal distribution that is greater than
the value t Q ( t ) = | 0.5 – ( t ) |
mode, press [ STATVAR ]
2–VAR
, or r.
a, b
] again. (See table below)
=
r
∑∑ ∑∑
−
ay
=
'x
b
bxa'y +=
mode ( or the corresponding y - value in
DATA–INPUT
], enter the given value,
b
=
−
∑∑∑
)yxxyn(
−−
. To change upper spec.
] or [
−=xnby
a
−
∑∑∑
−
∑∑
2222
))y(yn)()x(xn(
∑∑
)yxxyn(
22
))x(xn(
2–VAR
]
E – 18
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limit value, or lower spec. limit value, please choose
. To change ax, please choose
LIMIT–SET
3. Press [
4. To change an entry, display it and enter the new data. The
(Note) : Even you exit STAT mode, all data in
] to scroll through the data you have entered.
new data you enter overwrites the old entry. Press [
[
] to save the change.
2–VAR mode are still retained unless you clear all data
by selecting
D–CL mode.
DISTR
.
] or
1–VAR and
Mode 2 - Base-n
Bases conversions
The number system (10, 16, 2 , 8 ) is set by pressing [ 2nd ] [ dhbo ]
to display the menu, making one of the items underlined followed
]. A corresponding symbol – " d ", " h ", " b ", " o " appears
[
on the display. (The default setting is
Example 58.
(Note) : The total range of numbers handled in this mode is 0, 1,
2, 3, 4, 5, 6, 7, 8, 9, /A, IB, IC, ID, IE, IF. If values not
valid for the particular number system are used, attach
the corresponding designator (
Binary base (
Octal base (
Decimal base (
Hexadecimal base (
Pressing [
binary base which exceeds 8 digits. The system is designed to
display up to 4 blocks. See Example 59.
z
message will appear.
) : 0, 1
b
) : 0, 1, 2, 3, 4, 5, 6, 7
o
) : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
d
) : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, /A, IB, IC, ID, IE,
h
IF
] can use block function to display a result in octal or
Negative expression
In binary, octal, and hexadecimal bases, the calculator represents
negative numbers using complement notation. The complement is
the result of subtracting that number from
100000000000000000000000000000000 in that number's base
by pressing [ NEG ] key in non-decimal bases. See Example 60.
: decimal base). See
d
d, h, b, o), or an error
E – 19
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Basic arithmetic operations for bases
z
The unit enables you to calculate in number base other than
decimal. The calculator can add, subtract, multiply, and divide
binary, octal, and hexadecimal numbers. See Example 61.
Logical operation
Logical operations are performed through logical products (AND),
negative logical (NAND), logical sums (OR), exclusive logical sums
(XOR), negation (NOT), and negation of exclusive logical sums
(XNOR). See Example 62.
Mode 3 - CPLX
z
Complex mode enables you to add, subtract, multiply, and divide
complex numbers. See Example 63.
operation are displayed as follow :
Re Real value Im Imaginary value
ab Absolute value ar Argument value
The results of a complex
Mode 4 - VLE
Variable linear equations (VLE) mode can solve a set of
simultaneous equations with two unknowns as follows :
z
In VLE mode, you just enter each coefficient ( a, b, c, d, e, f ) in
the correct order, and the calculator automatically solves for
See Example 64.
a x + b y = c
d x + e y = f, where x and y are unknown.
x, y
Mode 5 - QE
Quadratic equations (QE) mode can solve a equations as follows :
z
In QE mode, you just enter each coefficient ( a, b, c ) in the correct
order, and the calculator automatically solves for all x values.
See Example 65.
2
a x
+ b x + c = 0, where x is unknown.
.
E – 20
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Guía GeneraI ...................................................3
Antes de empezar los cálculos ...................... 5
Mode 0 - MAIN ............................................... 11
Encendiendo o apagando...............................3
Reemplazo de batería..................................... 3
Función auto desactivadora...........................3
Operación Restablecer................................... 3
Ajuste del contraste ....................................... 4
Lectura de la visualización ............................4
Seleccionando un modo.................................5
Seleccionando un elemento de los
menús de visualización.................................. 5
Usando teclas " 2nd ".....................................5
Cursor............................................................. 6
Haciendo correcciones durante la
entrada............................................................ 6
Función de respuesta..................................... 6
Función de visualización de la
posición de error ............................................6
Función de memoria....................................... 7
Orden de operaciones ....................................7
Exactitud y Capacidad....................................8
Condiciones de error.................................... 10
Cálculo aritmético ........................................11
Formatos de visualización ........................... 11
Cálculos de paréntesis................................. 11
Cálculo de porcentaje...................................12
Función del cálculo continuo....................... 12
Función de respuesta................................... 12
Logaritmos y Antilogaritmos........................12
Cálculo de fracción ......................................12
Conversión de unidades de ángulo .............13
Funciones trigonométricas /
Tri. Inversas.................................................. 14
Funciones Hiperbólicas /
Hip. Inversas................................................. 14
S – 1
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Mode 1 - STAT................................................16
Mode 2 - Base-n.............................................19
Mode 3 - CPLX ...............................................20
Mode 4 - VLE .................................................20
Mode 5 - QE ...................................................20
Transformación de las coordenadas............14
Probabilidad .................................................14
Otras funciones ( x–1, √, X, x 2, ^ )........... 15
Conversión de la unidad ..............................15
Constantes de Física.................................... 15
Variable Sencilla / Estadísticas con
Dos Variables................................................16
Capacidad de Proceso..................................17
Distribución de probabilidad........................17
Regresión lineal............................................18
Corregiendo dados....................................... 19
Conversiones básicas ..................................19
Expresiones negativas .................................19
Operaciones aritméticas básicas
para bases .................................................... 20
Operaciones lógicas.....................................20
S – 2
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Guía GeneraI
Encendiendo o apagando
Para encender la calculadora, presionar [ ON ]; para apagar la
calculadora, presionar [ 2nd ] [ OFF ].
Reemplazo de batería
SRP-280N es accionado por una batería alcalina (G13/LR44).
SRP-285N es un sistema de energía dual que se impulsa por una
batería alcalina (G13/LR44) y una batería solar. Si el despliegue se
pone oscuro y difícil de leer (sobre todo cuando la iluminación es
oscura para SRP-285N), las batería deben ser reemplazadas lo más
pronto posible.
Para sustituir las batería:
1) Quite el tornillo y la cubierta del compartimiento de la batería.
2) Quite la batería vieja e inserte la nueva con la polaridad en la
3) Después de cambiar la batería, por favor use un objeto con
Esta calculadora se apaga automáticamente cuando no operada
por aproximadamente 6~12 minutos.Puede reactivarse presionando
la tecla [ ON ] y la visualización, memoria y configuración son
conservadas.
Si la calculadora está encendida pero usted consigue resultados
inesperados, presionar [ 2nd ] [ RESET ] en secuencia. Un mensaje
aparece en la visualización para confirmar si usted quiere
restablecer la calculadora y borrar los contenidos de la memoria.
Mueva el cursor a " Y " a través [ ], luego presionar [ ] para
borrar todas las variables, programas, operaciones pendientes,
datos estadísticos, respuestas, todas las entradas anteriores, y
memoria; para abortar la operación restablecer sin borrar la
calculadora, por favor escoja " N " .
Si la calculadora está bloqueada y el accionamiento de cualquier
tecla se vuelve imposible, por favor use un objeto con punta para
presionar en el hueco el botón de restaurado para solucionar el
problema. Esto retornará todas las configuraciones a aquellas por
defecto.
dirección correcta, luego coloque la cubierta.
punta para presionar en el hueco el botón de restaurado, en el
área de la etiqueta de clasificación localizada en la parte
posterior de la unidad.
Función auto desactivadora
Operación Restablecer
RESET : N Y
S – 3
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Ajuste del contraste
Presionando la tecla [ ] o [ ] seguida de [ MODE ] puede hacer
el contraste de la pantalla más clara o más oscura. Dominando
cualquier tecla abajo hará la visualización volverse respectivamente
más clara o más oscura.
Lectura de la visualización
La visualización comprende la línea de entrada, la línea del
resultado, e indicadores.
Indicadores
Línea de
entrada
Línea de entrada
Línea de resultado
Indicadores
Indicador Significado
Memoria independiente
M
Resultado es negativo
–
2° juego de teclas de función está activo
2nd
MODE
Modo principal está activo
MAIN
Modo de estadística está activo
STAT
Base-n
Modo de ecuación linear variable está activo
VLE
Modo de ecuación cuadrática está activo
QE
Modo de número complejo está actlvo
CPLX
DEGRAD
ENGSCI
Número de posiciones decimales mostrado está fijo
TAB
La calculadora muestra una entrada de hasta
Muestra un resultado de hasta 10 dígitos, así
Los indicadores siguientes aparecen en la
Modo de selección está activo
Modo Base-n está activo
Modo de ángulo:
Notación para Ingeniería (
Científica (
MA IN
DEG
74 – 8 / 7
76 dígitos. Las entradas empiezan en la
izquierda; aquéllas con más de 11dígitos
desplazan para la izquierda. Presionar [ ] o
[ ] para mover el cursor a través de una
entrada. Presionar [ 2nd ] [ ] o [ 2nd ] [ ]
para mover el cursor inmediatamente al
principio o fin de la entrada.
como un decimal, una señal negativa, un
indicador " x10 ", y un exponente positivo o
negativo de 2 dígitos. Resultados que exceden
el límite de dígitos son mostrados en notación
científica.
visualización para Indicarte el estado actual de
la calculadora.
DEG
entific)
SCI
72.85714286
rees,
GRAD
ENG
Indicadores
Línea de
resultado
s, o
RAD
ineering) o
s
S – 4
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Función hiperbólica-trig. será calculada
HYP
Mientras una operación está ejecutando
BUSY
Hay dígitos a la izquierda o derecha de la visualización
Hay resultados anteriores o posteriores que pueden ser
mostrados
Antes de empezar los cálculos
Seleccionando un modo
Presionando [ MODE ] puede entrar los menús del modo. Usted
puede escoger uno de los seis modos operativos, mientras
incluyendo "
", "
4)VLE
5)QE
Da "
2)Base-n
Método 1 : Desplazar a través de los menús usando [ ] o [ ]
Método 2 : Teclee directamente el número del modo, [ 2 ], para
Seleccionando un elemento de los menús de
visualización
Muchas funciones y configuraciones están disponibles en los
menúes.Un menú es una lista de opciones mostradas a través de la
línea de entrada.
De " Presionando la tecla [ DRG ] muestra el menú para gue escoja
de la configuración del ángulo bajo el modo MAIN " como un
ejemplo :
Método : Presionar [ DRG ] para mostrar el menú, y luego
Para artículos del menú seguidos por un valor de argumento, usted
puede apretar [ ] mientras el artículo está subrayado o entrar
el valor del argumento correspondiente directamente.
Usando teclas " 2nd "
Cuando usted presiona [ 2nd ], el indicador "
visualización es para decirle que usted estará seleccionando la
segunda función de la próxima tecla que usted presiona. Si usted
presionar [ 2nd ] por equivocación, simplemente presionar [ 2nd ] de
nuevo para quitar el indicador "
", "
0) MAIN
".
" como un ejemplo :
hasta que " 2)Base-n " sea mostrado, luego entre en el
modo deseado presionando [ ].
entrar en el modo inmediatamente.
mover el cursor [ ] o [ ] para un elemento que
usted quiere. Presionar [ ] mientras el elemento
está subrayado.
1)STAT
2nd
", "
".
2)Base-n
2nd
", "
" mostrado en la
3)CPLX
", "
S – 5
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Cursor
Presionando la tecla [ ] o [ ] puede mover el cursor a la
izquierda o la derecha. Sujete cualquiera de esas teclas para abajo
para mover el cursor a alta velocidad.
Presionando [ ] o [ ] puede desplazar la visualización arriba y
abajo mientras hay entradas anteriores escondidas en la
visualización. Usted puede reusar o editar una entrada anterior
cuando está en la línea de entrada.
Haciendo correcciones durante la entrada
Para anular un carácter con el cursor, vaya al carácter subrayado
usando [ ] o [ ] para mover el cursor, y luego presionar [ DEL ]
para anular el carácter.
Para reemplazar un carácter, vaya al carácter subrayado usando
[ ] o [ ] para mover el cursor, y luego entrar una nueva entrada
para reemplazar el carácter.
Para insertar un carácter, mueva el cursor a la posición del carácter
donde usted quiere insertar. Él se Insertará en frente del carácter
después de presionar [ 2nd ] [ INS ] y entrando un nuevo carácter.
(Nota) : El cursor intermitente " " significa que la calculadora
está en el modo de inserción. Al contrario, el cursor
intermitente es mostrado como " _ " y él significa que la
Para borrar todos los carácteres, borra todas las entradas de
carácter con la tecla [ CL ].
z
z
calculadora está en el modo sobrescribir.
Función de respuesta
Esta función almacena la última operación ejecutada. Después
que la ejecución está completa, presiona la tecla [ ] o [ ]
mostrará la operación desde el principio al fin. Usted puede
continuar moviendo el cursor a través del [ ] o [ ] para editarlo.
Para anular un dígito, presionar [ DEL ]. (o, en modo sobrescribir,
simplemente teclee encima del dígito. Vea Ejemplo 1.
La función de repetición puede mantener los dígitos de la entrada
hasta 254 carácteres. Después que la ejecución está completa o
durante la entrada, usted puede presionar cualquiera [ ] o [ ]
para mostrar los pasos anteriores de entrada y editar valores o
comandos para la ejecución subsecuente. Vea Ejemplo 2.
(Nota) : La función de repetición no está borrada incluso cuando
[ CL ] es presionado o corriente está apagada, por eso
los contenidos pueden ser revocados después de
presionar [ CL ]. Sin embargo, la función recalcular se
cancela cuando modo se cambia.
Función de visualización de la posición de
error
z
Cuando un cálculo matemáticamente ilegal es ejecutado, la
función de visualización de la posición de error le indicará con el
S – 6
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cursor donde el error está. Presionar [ ] o [ ] para mover el
cursor y luego para darle una entrada correcta. Usted también
puede borrar un error presionando [ CL ] y luego re-entrando los
valores y la expresión desde el principio. Vea Ejemplo 3.
y
PROG1
. Vea Ejemplo 5.
PROG2
y
. Usted puede
PROG2
A, B, C, X, Y, M, X1, X2
PROG1, PROG2
PROG1, PROG2
.
Función de memoria
z
Presionar [ M+ ] para adicionar un resultado a la memoria
corriente. Presiona [ 2nd ] [ M– ] para restar el valor de la memoria
corriente. Para revocar el valor en la memoria corriente, presionar
[ MRC ]. Para borrar la memoria corriente, presiona [ MRC ] dos
veces. Vea Ejemplo 4.
z
La calculadora tiene diez variables de memoria para el uso
repetido :
A, B, C, X, Y, M, X1, X2,
guardar un número real en las variables
dos expresiónes en
* [ P/V RCL ] rellama todas las variables.
* [ SAVE ] le permite almacenar valores a las variables.
* [ 2nd ] [ RECALL ] rellama el valor de la variable.
* [ 2nd ] [ CL-VAR ] borra todas las variables excepto
* [ 2nd ] [ CL-PROG ] borra los contenidos de
(Nota) : Además de presionar tecla [ SAVE ] para almacenar un
Orden de operaciones
Cada cálculo es ejecutado en el orden siguiente de prioridad :
1) Expresión dentro de los paréntesis.
2) Transformación de las coordenadas, y funciones Tipo B que se
requieren presionando la tecla de función antes de entrar, por
ejemplo, sin, cos, tan, sin –1, cos –1, tan –1, sinh, cosh, tanh,
sinh –1, cosh –1, tanh –1, log, ln, 10 X, e X, √, NEG, NOT, X'( ),
Y'( )
3) Funciones tipo A que son requeridas entrando valores antes de
presionar la tecla de función, por ejemplo, x 2, ,!,x–1, %,
r, g.
4) Exponenciación ( ^ ), X
5) Fracciones
6) Formato de multiplicación abreviada delante de las variables,
π
, RANDM, RANDMI.
7) ( – )
8) Formato de multiplicación abreviada delante de funciones Tipo
B , 23, Alog2, etc.
PROG1
valor, usted también puede asignar valores a la variable
de memoria M con [ M+ ] o [ 2nd ] [ M– ]. Sin embargo,
cualquier cosa actualmente almacenado en la variable
M se anulará y se lo reemplazará con el valor
recientemente asignado.
S – 7
y
.
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9) nPr, nCr
10) x ,
11) +, –
12) AND, NAND
13) OR, XOR, XNOR
14) Conversión ( a b/
• Cuando funciones con la misma prioridad son usadas en
series,la ejecución es realizada de la derecha a la izquierda.
d
/e, F D, DMS )
c
e X ln120 Æ e X { ln (120 ) }
si no, la ejecución es de la izquierda para derecha.
• Se ejecutan funciones compuestas de la derecha para la
izquierda.
• Cualquier cosa contenida dentro de los paréntesis recibe
la prioridad más alta.
Exactitud y Capacidad
Exactitud del rendimiento : Hasta 10 dígitos.
Calculando dígitos : Hasta 24 dígitos.
En general, cada cálculo razonable es mostrado con mantisa de
hasta 10 dígitos,o mantisa de 10-dígitos más exponente de 2-dígitos
± 99
hasta 10
Números usados como entrada deben estar dentro del intervalo de
la función dada como sigue :
Funciones
sin x
cos x
tan x
.
Intervalo de entrada
< 5 x 10
10
10
deg
8
π
grad
rad
Deg :
Rad :
Grad :
< 4.5 x 10
x
< 2.5 x 10
x
x
No obstante, para tan x
Deg :
≠ 90 (2n+1)
x
π
≠
(2n+1)
x
2
≠ 100 (2n+1), (n es un entero)
x
≤ 1
100
< 1 x 10
≤ 230.2585092
100
< 1 x 10
< 5 x 10 99
–1
–1
sin
x, cos
–1
tan
x
sinh x, cosh x
tanh x
–1
sinh
x
–1
cosh
x
Rad :
Grad :
x
x
x
x
x
x
1 ≤ x < 5 x 10 99
S – 8
File name : CBM_SR285,A_HDBSR285T19_Spanish.doc
version : 2010/04/26
tanh
log x, ln x
10 x
e x
x
x 2
x -1
x !
P (x, y)
R (r, θ)
DMS
x y
x
y
nPr, nCr
STAT
–1
x
< 1
x
–99
1 x 10
≤ x < 1 x 10
100
–1 x 10
< x < 100
100
–1 x 10
< x ≤ 230.2585092
0 ≤ x < 1 x 10
< 1 x 10 50
x
< 1 x 10
x
100
100
, x ≠ 0
100
0 ≤ x ≤ 69, x es un entero.
100
22
< 1 x 10
y+x
0 ≤ r < 1 x 10
Deg：│θ│< 4.5 x 10 10 deg
Rad：│θ│< 2.5 x 10
100
8
π
rad
Grad：│θ│< 5 x 10 10 grad
No obstante, para tanθ
Deg：│θ│
Rad：│θ│≠
Grad：│θ│
│DD│, MM, SS.SS ＜ 1 x 10
0 ≤ MM, SS.SS
x
x > 0 : –1 x 10
90 (2n+1)
≠
π
(2n+1)
2
100 (2n+1), (n es un entero)
≠
100
< 10
100
< y log x < 100
100
,
x = 0 : y > 0
x < 0 : y = n, 1/(2n+1), n es un entero.
pero –1 x 10
y > 0 : x ≠ 0, –1 x 10
100
< y log ⏐x⏐ < 100
100
<
1
log y < 100
x
y = 0 : x > 0
y < 0 : x=2n+1, 1/n, n es un entero. (n ≠ 0)
1
< 1 x 10
100
log ⏐y⏐ < 100
<
x
100
, n,r son enteros.
100
,
y
100
< 1 x 10
100
: n es un entero en
pero –1 x 10
0 ≤ r ≤ n, n ≤ 10
x
1–VAR : n ≤ 40, 2–VAR : n ≤ 40
FREQ. = n, 0 ≤ n < 10
modo 1–VAR.
S – 9
File name : CBM_SR285,A_HDBSR285T19_Spanish.doc
version : 2010/04/26
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