PRINTED IN CHINA / IMPRIMÉ EN CHINE / IMPRESO EN CHINA
16FSC(TINSEA152EHZZ)
B1096
INTRODUCTION
About the calculation examples (including some f ormulas
and tables), ref er to the rev erse side of this manual.
After reading this manual, store it in a conv enient location for
future reference .
Note: Some of the models described in this manual may not be
av ailable in some countries.
Operational Notes
• Donotcarrythecalculatoraroundinyourbackpock et,asit
maybreakwheny ousitdown. Thedispla yismadeofglass
andispar ticularlyfragile.
• Keepthecalculatora wayfrome xtremeheatsuchasona
cardashboardornearaheater ,andav oidexposingitto
excessiv elyhumidordustyenvironments.
• Sincethisproductisnotwaterproof,donotuseitorstoreit
whereuids,f orexamplewater ,cansplashontoit. Raindrops ,
waterspra y ,juice,coff ee,steam,perspiration,etc. willalso
cause malfunction.
• Cleanwithasoft,drycloth.Donotusesolv entsorawetcloth.
A void using a rough cloth or anything else that ma y cause
scratches.
• Donotdropitorapplyexcessiv eforce .
• Nev erdisposeofbatteriesinare.
• K eepbatteriesoutofthereachofchildren.
• Forthesak eofyourhealth,trynottousethisproductforlong
periodsoftime. Ifyouneedtousetheproductf oranextended
period,besuretoallowyoure yes,hands,arms,andbody
adequaterestperiods(about10–15minutesev eryhour).
Ifyoue xperienceanypainorfatiguewhileusingthisproduct,
discontinue use immediately . If the discomfor t continues,
pleaseconsultadoctor .
• Thisproduct,includingaccessories,maychangedueto
upgradingwithoutpriornotice.
NO TICE
• SHARPstronglyrecommendsthatseparatepermanent
writtenrecordsbekeptofallimportantdata.Datama ybe
lostoralteredinvir tuallyanyelectronicmemoryproduct
under cer tain circumstances. Theref ore, SHARP assumes no
responsibilityfordatalostorotherwiserenderedun usable
whetherasaresultofimproperuse,repairs,def ects,battery
replacement,useafterthespeciedbatterylifehasexpired,
or any other cause.
• SHARPwillnotbeliablenorresponsib leforanyincidental
orconsequentialeconomicorproper tydamagecaused
bymisuseand/ormalfunctionsofthisproductandits
peripherals,unlesssuchliabilityisackno wledgedbylaw .
♦ PresstheRESETswitch(ontheback),withthetipofa
ball-pointpenorsimilarobject,onlyinthefollo wingcases.
Donotuseanobjectwithabreakableorsharptip. Note that
pressingtheRESETswitcher asesalldatastoredinmemor y .
• Whenusingforthersttime
• Afterreplacingthebattery
• T oclearallmemorycontents
•
Whenanabnormalconditionoccursandallkeysareinoperativ e
♦
If service should be required on this calculator, ha ve the calculator
servicedintheregion(countr y)whereyoupurchasedit.
Hard Case
DISPLA Y
Dot
matrix
display
Mantissa Exponent
•
Duringactualuse,notallsymbolsaredisplay edatthesametime.
• Onlythesymbolsrequiredfortheusageunderinstructionare
showninthedispla yandcalculationexamples.
: Indicates that some contents are hidden in the directions
shown.
2ndF: Appearswhen@ ispressed,indicatingthatthe
functionsshowninthesamecoloras@ are enabled.
HYP: Indicates that Hhasbeenpressedandthehyperbolic
functions are enabled. If @ >ispressed,the
symbols “2ndF HYP” appear,indicatingthatin verse
hyperbolicfunctionsareenab led.
ALPHA: Appearswhen; ispressed,indicatingthatthe
functionsshowninthesamecoloras; are enabled.
Appearswhenx or t ispressed,andentry(recall)
ofmemorycontentscanbeperformed.
FIX/SCI/ENG/N1/N2: Indicatesthenotationusedtodisplayav alue
and changes by SET UP menu. N1isdisplay edon-screen
as “NORM1”, and N2 as “NORM2”.
DEG/RAD/GRAD: Indicates angular units.
BUSY: Appearsduringtheex ecutionofacalculation.
W -VIEW:Indicatesthatthe Wr iteVieweditorisselected.
M: Indicates that a numerical value is stored in the
independentmemory(M).
BEFORE USING THE CALCULA T OR
Press jtoturnthecalculatoron. Thedatathatwason-screen
whenthepowerw astur nedoffwillappearonthedisplay .
Press @ o to turn it off.
Key Notations Used in this Man ual
T ospecify
e
x
:
@ "
T ospecifyln:
i
T ospecifyE:
; E
• Functionsthatareprintedingrayadjacenttothek eysare
effectiv einspecicmodes.
• Themultiplicationoperator “
” is differentiated from the letter “X”
inthismanualasf ollows:
T ospecifythemultiplicationoper ator : k
T ospecifytheletter “X”: ; X
• Incer taincalculationexamples ,whereyouseetheo symbol,
theke yoperationsandcalculationresultsareshownasthey
wouldappearintheLineeditor .
•
Ineachexample ,pressj toclearthedisplayrst. Unless
otherwisespecied,calculationexamplesareperf ormedinthe
WriteVieweditor(
J 2 0 0
)withthedefaultdispla y
settings.
Clearing the Entry and Memories
Operation
Entry
(Display)
A–F ,
M, X, Y
D1–D3 ANS S TAT *
1
j
О
Х Х Х Х
@ Z
О
Х Х
О О
Mode selection (b )
О
Х Х Х
Х
*
2
@ P 0
О
Х Х Х Х
@ P 1 0
О О О О О
@ P 2 0
*
3
О О О О О
RESETswitch
*
3
О О О О О
О
: Clear
Х
: Retain
*1 Statistical data (entered data)
*2 Clearedwhenchangingbetweensub-modesinST A Tmode.
*3 TheRESEToperationwillerasealldatastoredinmemoryand
restore the calculator’ s default settings .
Memory clear key
Press @ Ptodisplaythemen u.
• T oinitializethedisplaysettings,press0 . Theparametersset
asfollo ws:
• Angularunit: DEG
• Displaynotation: NORM1
• N-base: DEC
•
Recurring decimal: OFF
Mode Selection
NORMALmode: b 0
Usedtoperformarithmeticoperationsandfunctioncalculations.
ST A T mode: b 1
Usedtoperformstatisticaloperations.
T ABLEmode:b 2
Used to illustrate the changes in values of a function in tab le format.
DRILLmode: b 3
Usedtopracticemathandmultiplicationtab ledrills.
HOME Key
Press 7toreturntoNORMALmodefromothermodes.
Note: Equationsandvaluescurrentlybeingenteredwilldisappear ,
inthesamewa yaswhenthemodeischanged.
SET UP Menu
Press JtodisplaytheSETUPmen u.
Press jtoexittheSETUPmen u.
Note: Y oucanpressN toreturntothepreviouslydisplay ed
parentmenu.
Determination of the angular unit (degrees, radians, and grades)
DEG(°): J 0 0 (default)
RAD (rad): J 0 1
GRAD(g): J 0 2
Selecting the display notation and decimal places
1
T wosettingsofFloatingpoint(NORM1andNORM2),Fixeddecimal
point(FIX),Scienticnotation(SCI),andEngineeringnotation(ENG).
• WhenJ 1 0 (FIX) or J 1 2(ENG)is
pressed,thenumberofdecimalplaces(T AB)canbesettoany
valuebetween0and9.
• WhenJ 1 1(SCI)ispressed,thenumberofsignicant
digitscanbesettoanyv aluebetween0and9. Entering0willset
a10-digitdisplay .
Setting the floating point number system in scientific notation
NORM1 (the default) and NORM2. A number is automatically
display edinscienticnotationoutsideapresetrange:
NORM1 (J 1 3): 0.000000001
≤|x| ≤ 9,999,999,999
NORM2 (J 1 4): 0.01
≤|x| ≤ 9,999,999,999
Selecting the editor and setting the answer display
2
Thiscalculatorhasthefollo wingtwoeditorsinNORMALmode:
WriteViewandLine.
Setthedisplayf ormatfornumericalcalculationresultsin WriteView
editor .
The WriteView editor
EXACT(a/b ,r ,
p
) J 2 0 0 (default)
APPRO X. J 2 0 1
The Line editor J 2 1
Notes:
• When“EXA CT(a/b ,r,
p)” isset,resultswillappearinfraction
format or irrational number f ormat (including
p and r)when
displayispossib le.
• When“APPR O X. ” isset,resultswillbedecimaldisplayor
fractiondispla y ,andwillbenotshowninirrationalnumberf ormat
(including
p and r ).
• PressU to change the calculation results to another format
thatcanbedisplay ed.
Adjusting the display contrast
Press J 3 , then + or &toadjustthecontrast. Press
jtoexit.
Insert and overwrite entry methods
WhenusingtheLineeditor ,youcanchangetheentrymethodfrom
“INSERT” (thedefault)to“O VERWRITE”.
Afteryous witchtotheoverwritemethod(b ypressingJ 4 1 ),
thetriangularcursorwillchangetoarectangularone,andthenumberor
functionunderneathitwillbeoverwrittenasyoumak eentries.
Setting the recurring decimal
3
InNORMALmode,calculationresultscanbeshowninarecurring
decimal format.
Recurring decimal is OFF: J 5 0 (default)
Recurring decimal is ON: J 5 1
• Inthe WriteVieweditor ,therecurringpar tisindicatedby“
−
”. In
theLineeditor ,therecurringpar tisindicatedinparentheses.
• Ifov er10digits,includingtherecurringpar t,theresultcannotbe
display edinrecurringdecimalformat.
Setting of the decimal point
Y oucanshowthedecimalpointinthecalculationresultaseithera
dot or a comma.
D OT : J 6 0 (default)
COMMA: J 6 1
• Duringentr y ,thedecimalpointisonlyshownasadot.
ENTERING, DISPLA YING, AND EDITING THE EQU A TION
4
The WriteView Editor
Entry and display
Inthe WriteVieweditor ,youcanenteranddispla yfractionsor
cer tainfunctionsasyouwouldwritethem.
• The WriteVieweditorcanbeusedinNORMALmode.
Displaying calculation results (when EXA CT is selected)
Whenpossible,calculationresultswillbedispla yedusingfractions,
r, and
p
. WhenyoupressU ,thedispla ywillcyclethroughthe
follo wingdisplaystyles:
•
Mixedfr actions(withorwithout
p
)
→
improperfractions(withor
without
p
)
→
decimal numbers
• Properfractions(withorwithout
p
)
→
decimal numbers
• Irrationalnumbers(squareroots,fr actionsmadeusingsquare
roots)
→
decimal numbers
Notes:
•
Inthefollo wingcases,calculationresultsmaybedispla yedusingr:
• Arithmeticoperationsandmemorycalculations
• T r igonometriccalculations
Entry value
DEG multiplesof15
RAD
multiplesof
1
12
p
GRAD
multiplesof
50
3
• Intrigonometriccalculations,when
entering values such as those in
the table to the right, results may be
shownusingr.
• Improper/properfractionswillbe
conv er tedtoanddisplay edas
decimalnumbersifthenumberofdigitsusedintheire xpression
isgreaterthannine. Inthecaseofmixedfractions ,themaximum
numberofdispla yabledigits(includingintegers)iseight.
• Ifthenumberofdigitsinthedenominatorofafractionalresult
that uses
p
is greater than three, the result is con verted to and
display edasadecimalnumber .
The Line Editor
Entry and display
IntheLineeditor ,youcanenteranddispla yequationslinebyline.
Notes:
• Uptothreelinesoftextma ybeviewedonthescreenatonetime .
• IntheLineeditor ,calculationresultsaredisplay edindecimalform
orlinefractionnotationifpossible .
• UseU toswitchthedispla yformattofractionalf ormor
decimalform(ifpossible).
Editing the Equation
Justafterobtaininganans wer ,pressingl brings you to the
endoftheequationandpressingr brings you to the beginning.
Press l , r , u , or d to mov e the cursor. Press @
l or @ rtojumpthecursortothebeginningortheend
of the equation.
Back space and delete key
T o delete a number or function, move the cursor to the right of it,
thenpressN. Y ou can also delete a number or function that the
cursorisdirectlyov erbypressing@ y.
Note: Inamulti-le velmenu,y oucanpressN tobacktothe
previousmen ulev el.
Multi-line Playback Function
5
Thiscalculatorisequippedwithafunctiontorecallprevious
equationsandansw ersinNORMALmode.
Pressing uwill
displaythepre viousequation.
The number of characters that can be
sav edislimited. Whenthememoryisfull,storedequationswillbe
deletedtomakeroom,startingwiththeoldest.
• T oeditanequationafterrecallingit,pressl or r.
• Themulti-linememorywillbeclearedbythefollo wingoperations:
@ Z
, mode change, RESET , N-base conversion, angular
unit conv ersion, editor change (
J 2 0 0 , J 2
0 1 or J 2 1
), and memory clear (@ P
1 0).
Priority Levels in Calculation
Thiscalculatorperformsoperationsaccordingtothef ollowingpriority:
1
F ractions (1m 4, etc.)
2
Functionsprecededbytheirargument
(x
−
1
, x
2
, n!, etc.)
3
y
x
,
x
r
4
Impliedmultiplicationofamemory
value (2Y , etc.)
5
Functionsfollo wedbytheirargument(sin,cos,
etc.)
6
Impliedmultiplicationofafunction(2sin 30
,
A
1
4
, etc.)
7
nCr ,nPr ,GCD ,LCM
8
× , ÷ , int÷
9
+ , −
10
AND
11
OR, XOR,
XNOR
12
= , M+ , M− , M, ►DEG, ► RAD , ►GRAD ,
→
r
q
,
→
xy
,
and other calculation ending instructions
• Ifparenthesesareused,parenthesizedcalculationshav e
precedenceov eranyothercalculations.
SCIENTIFIC CALCULA TIONS
• Pressb 0 toselectNORMALmode.
Arithmetic Operations
6
• Theclosingparenthesis) justbefore= or m ma y be
omitted.
Constant Calculations
7
• Inconstantcalculations,theaddendbecomesaconstant.
Subtractionanddivisionareperf or medinthesamemanner . For
multiplication,themultiplicandbecomesaconstant.
• Inconstantcalculations,constantswillbedispla yedasK.
Con version to Engineering notation
8
Y ou can use ; < or ; > to convert the calculation
result to engineering notation.
• Press; < todecreasetheexponent. Press; > to
increasetheexponent.
• Thesettings(FSE)intheSETUPmenudonotchange.
Functions
9
• Refertothecalculatione xamplesforeachfunction.
• IntheLineeditor ,thefollo wingsymbolsareused:
•
: toindicateanexpression’ spower . (m, @ " , @ Y)
• : toseparateintegers,numerators ,anddenominators. (W,
@ k)
• Whenusing@ O or @ W intheLineeditor ,values
areenteredinthefollo wingway:
• logn(base, value)
• absvalue
Random Function
The random function has f our settings. (This function cannot be
selectedwhileusingtheN-basefunction.) T ogeneratefur ther
randomnumbersinsuccession,presse. Press jtoexit.
Random numbers
Apseudo-randomnumber ,withthreesignicantdigitsfrom0upto
0.999,canbegeneratedbypressing@ w 0 e.
Note: Inthe WriteVieweditor ,theresultwillbeafractionor0.
Random dice
T osimulateadie-rolling,arandomintegerbetween1and6canbe
generatedbypressing@ w 1 e.
Random coin
T osimulateacoinip,0(heads)or1(tails)canberandomly
generatedbypressing@ w 2 e.
Random integer
Y oucanspecifyarangeforther andomintegerwith“R.Int(” only .
R.Int(minimum value , maximum value)
Fore xample,ify ouenter@ w 3 1
H
99 ) e , a
randomintegerfrom1to99willbegenerated.
Angular Unit Con versions
10
Each time @ ]ispressed,theangularunitchangesinsequence.
Memory Calculations
11
MemorycalculationscanbeperformedinNORMALandST A Tmodes.
T emporar y memories (A–F , X and Y)
Press xandavariablek eytostoreav alueinmemor y .
Press tandavariablek eytorecallthev aluefromthatmemor y .
T oplaceavariableinanequation,press; andavariablek ey .
Independent memory (M)
Inadditiontoallthefeaturesoftempor ar ymemories,avaluecan
beaddedtoorsubtractedfromane xistingmemor yvalue.
Press j x Mtocleartheindependentmemory(M).
Last answer memory (ANS)
Thecalculationresultobtainedbypressing= or any other
calculation ending instruction is automatically stored in the last
answ ermemor y .
Notes:
•
Calculationresultsfromthefunctionsindicatedbeloware
automaticallystoredintheXor Ymemoriesreplacinganyexisting
values .
•
→
r
q
,
→
xy
: X memory (
r
or
x
), Y memor y (q or
y
)
• T wo
x
´ values from a quadratic reg ression calculation in
ST A T mode: X memor y (1:), Y memor y (2:)
• Useoft or ; willrecallthevaluestoredinmemory
usingupto14digits.
Definable memories (D1–D3)
Y oucanstorefunctionsoroperationsindenablememories
(D1–D3).
•
T ostoreafunctionoroperation,pressx ,f ollowedb yadenable
memorykey(I, J, or K ),f ollowedbytheoper ationyou
wanttostore. Menu-relatedoperations,suchasJ, cannot be
stored. Press jtoreturntothepreviousdispla y .
• T ocallastoredfunctionoroperation,pressthecorresponding
memorykey . Callingastoredfunctionwilldonothingifthe
functionthatiscalledwouldbeunusab leinthecurrentcontext.
•
Anyfunctionsoroperationsthatarestoredinadenab lememor y
willbereplacedwhenyousa veanewoneintothatmemory .
• Y oucannotstorefunctionsoroperationsindenab lememories
whenenteringvaluesoritemsinST A Tmode.
Memory List
Press ; 9todisplayalistofthev aluessav edinmemor y .
Thevaluesaresho wnina9-characterrange.
Applicablememories: A,B,C ,D ,E,F ,X, Y ,M
Chain Calculations
12
Thepreviouscalculationresultcanbeusedinthesubsequent
calculation. Howe ver ,itcannotberecalledafterenteringmultiple
instructions.
Fraction Calculations
13
Arithmeticoperationsandmemorycalculationscanbeperformed
usingfractions. InNORMALmode,conv ersionbetweenadecimal
numberandafractioncanbeperf ormedbypressingU.
Notes:
•
Improper/properfractionswillbeconv er tedtoanddisplay edas
decimalnumbersifthenumberofdigitsusedintheire xpression
isgreaterthannine. Inthecaseofmixedfractions ,themaximum
numberofdispla yabledigits(includingintegers)iseight.
• T oconvertasexagesimalvaluetoafr action,rstconvertitby
pressing@ :.
Binary , P ental, Octal, Decimal, and He xadecimal
Operations (N-base)
14
Conv ersionscanbeperformedbetweenN-basenumbersin
NORMALmode. Thef ourbasicarithmeticoperations,calculations
withparentheses,andmemorycalculationscanalsobeperformed,
alongwiththelogicaloperationsAND ,OR,NOT ,NEG,XOR,and
XNORonbinary ,pental,octal,andhexadecimalnumbers.
Note: Thehexadecimaln umbersA–Fareenteredbypressing
m
A
, *
B
, A
C
, l
D
, i
E
, and H
F
.
Inthebinary ,pental,octal,andhexadecimalsystems,fractional
par tscannotbeentered. Whenadecimalnumberhaving
afractionalpartisconvertedintoabinar y ,pental,octal,or
hexadecimaln umber,thefr actionalpar twillbetruncated.
Like wise,whentheresultofabinary ,pental,octal,orhexadecimal
calculationincludesafractionalpart,thefractionalpar twillbe
truncated. Inthebinar y ,pental,octal,andhexadecimalsystems ,
negativenumbersaredispla yedasacomplement.
Time, Decimal, and Sexagesimal Calculations
15
Conv ersionbetweendecimalandsexagesimaln umberscanbe
performed. Inaddition,thefourbasicarithmeticoperationsand
memorycalculationscanbeperformedusingthesexagesimal
system. Notationforse xagesimalisasfollows:
Coordinate Con versions
16
• Beforeperf ormingacalculation,selecttheangularunit.
• Theresultsofcoordinateconv ersionswillbedisplay edas
decimalnumberse veninthe WriteVieweditor .
Rectangular coord. Polar coord.
Modify Function
17
Decimalcalculationresultsareinternallyobtainedinscientic
notation,withupto14digitsinthemantissa. Howe ver ,since
calculationresultsaredisplay edintheformdesignatedbythe
displaynotationandthen umberofdecimalplacesindicated,the
internalcalculationresultmaydifferfromthatsho wninthedisplay .
By using the modify function (@ n ), the internal value is
conv er tedtomatchthatofthedisplay ,sothatthedisplayedv alue
canbeusedwithoutchangeinsubsequentoperations.
• Whenusingthe WriteVieweditor ,ifthecalculationresultis
display edusingfractionsorirrationalnumbers ,pressU to
conv er tittodecimalformrst.
Calculating the Greatest Common Divisor (GCD)
WhatistheGCDof
24and36?
j
24
@
=
36
=
12
.
Calculating the Least Common Multiple (LCM)
WhatistheLCMof
15and9?
j
15
@
?
9
=
45
.
Calculating Quotient and Remainder
18
• ”Q” indicates“Quotient”,and “R”indicates “Remainder”.
• Pressing@ 6 cannotbefollo wedbypressingak eyfor
anotheroperationsuchas(+,–,×,÷),otherwiseanerrorwill
result.
• Thequotientandremainderareshownin “NORM1”f ormat.
Ifnotalldigitscanbedisplay edin“NORM1” format,nor mal
divisionisperformed.
Prime Factorization
19
InNORMALmode,thecalculationresultcanbeshownasa
productofprimenumbers.
•Apositiveintegergreaterthan2andnomorethan10digitscan
befactoredintoprimes.
•Anumberthatcannotbef actoredintoaprimenumberwith3
digitsorshor terisshowninparentheses.
• Thecalculationresultofprimefactorizationisdisplay ed
accordingtotheeditorsetting(W -VIEWorLINE).
• Thecalculationresultofprimefactorizationmaye xtendoffthe
edgesofthescreen. Y oucanseethosepar tsbypressingl
or r. T ojumptotheleftendorr ightend,press@ l
or @ r .
ST A TISTICAL CALCULA TIONS
20 21
StatisticalcalculationscanbeperformedinST A Tmode.
Thereareeightsub-modeswithinST A Tmode. Pressb 1 ,
thenpressthenumberke ythatcorrespondstoyourchoice:
0 (SD ): Single-variable statistics
1 (a+bx): Linearregression
2 (a+bx+cx
2
): Quadraticregression
3 (a• e ^bx): Eulerexponentialregression
4 (a+b• lnx): Logarithmicregression
5 (a• x ^b): P owerregression
6 (a+b/x ): Inv erse regression
7 (a• b ^x): Generalexponentialreg ression
Thestatisticaldatainputscreenappears.
Afterenteringstatisticaldatafromtheinputscreen,
press
_
or
j
andclosetheinputtable
. Y oucanthencheckstatistical
values from the ST A T menu
(
; 8
)
andspecifystatistical
variables .
D
ata Entry and Correction
Data entry
Entryeld
Single-v ariabledatatable T wo-variabledatatab le
• Afterenteringthedata,
press
e
. Theinputisnalizedand
thecursormov estothenextline. Ifdatawasnotenteredinan
x
or
y,0isentered,1isenteredinFRQ(frequency),andthecursor
mov estothenextline.
•
Y ou can use
H
toenterXandFRQ(orX, Y ,andFRQ)atonce.
• Intheinputtable,upto6digitsaredispla yedforeachv alue,
includingthesignanddecimalpoint. Anyv aluesthatexceed6
digitsinlengtharedisplay edinexponentnotation.
•
Upto100dataitemscanbeentered. Withsingle-variabledata,
adataitemwithanassignedfrequencyofoneiscountedas
onedataitem,whileanitemwithanassignedfrequencyof2
orhigherisstoredasasetoftwodataitems. Withtwo-v ariable
data,asetofdataitemswithanassignedfrequencyofoneis
countedastwodataitems,whileasetofitemswithanassigned
frequency of 2 or higher is stored as a set of three data items.
• T oexecutestatisticalcalculation,press
_
or
j
and close
theinputtable.
Data correction
Use l , r , u , or d to mov e the cursor and select
the desired data. Press @ u or @ dtojumpthe
cursor to the beginning or end of the data.
Data correction
Mov ethecursortothedatathatyouwanttocorrect,enterthe
numericvalue,andpresse.
Data inser tion
T oinser talineinfrontofthecursorposition,press
;
T.
Theinitialvaluesenteredintheinserteddataare0inxandy ,
and1inFRQ.
Data deletion
T odeletetheentirelinewherecursorispositioned,press@ y.
Notes:
• InST A Tmode,allstatisticaldatawillbeerasedifthesubmode
is changed or
@
Z
ispressed.
• InST A Tmode,press
_
todisplaytheinputtab le.
Statistical Calculations and V ariables
Thefollo wingstatisticscanbeobtainedforeachstatistical
calculation(refertothetab lebelow):
Single-variable statistical calculation
Statistics of
1
and
3
.
Linear regression calculation
Statistics of
1
,
2
and
4
. In addition, the estimate of
y
for a giv en
x
(estimate
y
´) and the estimate of
x
for a giv en
y
(estimate
x
´).
Quadratic regression calculation
Statistics of
1
,
2
and
4
. Andcoefcients
a
,
b
,
c
in the quadratic
regression f or mula (
y
=
a
+
bx
+
cx
2
). (For quadr atic regression
calculations,nocorrelationcoefcient(
r
) can be obtained.)
Whentherearetwo
x
´values ,eachvaluewillbedispla yedwith“1:”
or“2:”,andstoredsepar atelyintheXand Ymemor ies.
Y oucanalsospecifythe1stvalue(x 1’) and the 2nd v alue (x 2’)separately .
Euler exponential regression, logarithmic regression,
power regression, in verse regression,
and general exponential regression calculations
Statistics of
1
,
2
and
4
. In addition, the estimate of
y
for a
given
x
and the estimate of
x
for a giv en
y
. (Since the calculator
conv er ts each formula into a linear regression f ormula before actual
calculationtakesplace,itobtainsallstatistics ,exceptcoefcients
a
and
b
, from conv er ted data rather than entered data.)
1
n
Numberofsamples
x
–
Meanofsamples(
x
data
)
sx
Samplestandarddeviation(
x
data
)
s
2
x
Samplevariance(
x
data)
sx
P opulationstandarddeviation(
x
data
)
s
2
x
P opulationvariance(
x
data)
Σ
x
Sumofsamples(
x
data
)
Σ
x
2
Sumofsquaresofsamples(
x
data
)
xmin
Minimumvalueofsamples
(
x
data
)
xmax
Maximumvalueofsamples(
x
data
)
2
y
–
Meanofsamples(
y
data
)
sy
Samplestandarddeviation
(
y
data
)
s
2
y
Samplevariance(
y
data)
sy
P opulationstandarddeviation
(
y
data
)
s
2
y
P opulationvariance(
y
data)
Σ
y
Sumofsamples
(
y
data
)
Σ
y
2
Sumofsquaresofsamples
(
y
data
)
Σ
x
y
Sumofproductsofsamples(
x
,
y
)
Σ
x
2
y
Sumofproductsofsamples(
x
2
,
y
)
Σ
x
3
Sumof3rdpowersofsamples
(
x
data
)
Σ
x
4
Sumof4thpowersofsamples
(
x
data
)
ymin
Minimumvalueofsamples
(
y
data
)
ymax
Maximumvalueofsamples
(
y
data
)
3
Q
1
Firstquar tileofsample
(
x
data
)
Med
Medianofsample
(
x
data
)
Q
3
Thirdquar tileofsample
(
x
data
)
4
r
Correlationcoefficient(ExceptQuadraticregression)
a
Coefficient of regression equation
b
Coefficient of regression equation
c
Coefficient of quadratic regression equation
R
2
Coefficientofdetermination(Quadraticregression)
r
2
Coefficientofdetermination(ExceptQuadraticregression)
ST A T Menu
Afterclosingtheinputtable,y oucanviewstatisticalv alues,view
regressioncoefcientvalues ,andspecifystatisticalvariablesfrom
ST A T menu (
; 8
).
;
8
0: Displaystatisticalv alues
;
8
1: Displayregressioncoefcientv alues
;
8
2: Specifystatisticalvaluev ariables
;
8
3:
Specifystatisticalvalue(Σ related) v ariables
;
8
4: Specifymax/minvaluev ariables
;
8
5: Specifyregressioncoefcientvariables
Notes:
• Listdisplayofreg ressioncoefcientvaluesandspecicationof
regressioncoefcientvariab lesdonotappearinsingle-variable
statistical calculation.
•
Estimated values
x
’ and
y
’ arespeciedwiththekeys(@
V
,
@
U
). Iftherearetwo
x
’ values,youcanspecify
x
1’ and
x
2’ from the ST A T menu (
;
8
5 ) to obtain the values
separately .
• Inthestatisticalvalueandregressioncoefcientv aluelists,y ou
cannotreturntothemenubypressingN.
Statistical Calculation Formulas
22
Anerrorwilloccurwhen:
• Theabsolutevalueoftheintermediateresultorcalculationresult
is equal to or greater than 1
× 10
100
.
• Thedenominatoriszero .
• Anattemptismadetotakethesquarerootofanegativ enumber .
• Nosolutionexistsinthequadr aticregressioncalculation.
T ABLE MODE
23
Y oucanseethechangesinvaluesofoneortwofunctionsusing
T ABLEmode.
Setting a table
1. Press b 2toenter T ABLEmode.
2. Enterafunction(Function1),andpresse.
3. Ifneeded,enterthe2ndfunction(Function2)andpresse.
4. Enterastar tingvalue(X_Start:),andpresse.
The default starting value is 0.
5. Enterastepvalue(X_Step:). Thedefaultstepv alueis1.
• Y oucanuseu and d tomovethecursorbetweenthe
star tingvalueandstepv alue.
6. Press ewhenyounishenteringastepvalue . Atablewitha
variableXandthecorrespondingv alues(ANScolumn)appears,
displaying3linesbelo wthestar tingvalue.
Ifyouenteredtwofunctions ,theANS1andANS2columnsappear .
Y ou can use u and d to change the X value and see its
correspondingvaluesintab leformat.
• Thetableisf ordisplayonlyandy oucannoteditthetable.
• Thevaluesaredispla yedupto7digits,includingsignsanda
decimalpoint.
• Pressl or r to mov e the cursor to ANS column (ANS1
andANS2columnsifyouenteredtwofunctions)orXcolumn.
• Fulldigitsofthevalueonthecursoraredispla yedonthebottom
right.
Notes:
• Inafunction,only“X” canbeusedasavariable,andother
variables are all regarded as n umbers (stored into the variables).
• Irrationalnumberssuchas
r and p can also be entered into a
star tingvalueorastepv alue. Y oucannotenter0oranegative
numberasastepvalue .
• Y oucanuseWriteVieweditorwheninputtingafunction.
• Thefollo wingfeaturesarenotusedin T ABLEmode: coordinate
conv ersions,conv ersionbetweendecimalandsexagesimal
numbers, and angular unit con versions.
• Itmaytak etimetomakeatable ,or“-------” maybedisplay ed,
dependingonthefunctionenteredorconditionsspeciedforthe
variable X.
• Pleasenotethatwhenmakingatable,thev aluesforv ariableX
arerewritten.
• Press
@
Z
or mode selection to return to the initial screen
of the mode, and return to the default v alues for the starting value
andstepvalue .
DRILL MODE
Math Drill: b 3 0
Mathoperationquestionswithpositiveintegersand0aredispla yed
randomly . Itispossibletoselectthenumberofquestionsand
operatortype.
Multiplication T able(
× T able): b 3 1
Questionsfromeachrowofthemultiplicationtab le(1to12)are
display edseriallyorrandomly .
T oexitDRILLmode,pressb and select another mode.
Using Math Drill and × T able
1 .
Press b
3
0 for Math Drill or b
3
1 for × T able.
2 . Math Drill: Use u and d to select the number of
questions (25, 50, or 100).
× T able: Use u and dtoselectarowinthemultiplication
table (1 to 12).
3 . Math Drill: Use l and rtoselecttheoperatortypef or
questions (
+, −, ×, ÷, or +−×÷).
× T able: Use l and rtoselecttheordertype(“Serial”or
“Random”).
4. Press e to star t.
WhenusingMathDrillor
× T able (random order only), questions
arerandomlyselectedandwillnotrepeate xceptbychance.
5. Enteryourans wer . Pressj or N to clear the entered
numberandthenenterthecorrectans wer .
6. Press e.
•
Iftheansw eriscorrect,“ ” appearsandthene xtquestionisdisplay ed.
• Iftheansw eriswrong,“ ”appearsandthesamequestionis
display ed. Thiswillberegardedasanincorrectanswer .
• Ifyoupresse withoutenteringanansw er ,thecorrect
answ erisdisplayedandthenthene xtquestionisdisplayed.
Thiswillberegardedasanincorrectansw er.
7. Continueans weringtheseriesofquestionsbyenteringthe
answ erandpressinge.
8. Afteryounish,presse andthenumberandpercentageof
correctansw ersaredisplayed.
9. Press e to return to the initial screen for your current drill.
Ranges of Math Drill Questions
Therangeofquestionsf oreachoperatortypeisasfollo ws.
+ Addition operator: “0
+ 0” to “20 + 20”
] Subtraction operator: “0
− 0” to “20 − 20”; answersare
positiveintegersand0.
> Multiplication operator: “1
× 0” or “0 × 1” to “12 × 12”
) Division operator: “0
÷ 1” to “144 ÷ 12”; answersare
positiveintegersfrom1to12and0,dividendsofupto
144,anddivisorsofupto12.
+]>) Mixed operator s: Questionswithinalltheaboveranges
aredisplay ed.
ERRORS AND CALCULA TION RANGES
Error s
Anerrorwilloccurifanoperatione xceedsthecalculationranges,
orifamathematicallyillegaloperationisattempted. Whenanerror
occurs,pressingl or r automatically mov es the cursor
backtotheplaceintheequationwheretheerroroccurred. Editthe
equationorpressj to clear the equation.
Error codes and err or types
ERROR01: Syntaxerror
• Anattemptwasmadetoperf ormaninvalidoperation.
Ex. 2+ & 5 =
ERROR 02: Calculation error
• Theabsolutevalueofanintermediateornalcalculationresult
equalsorexceeds10
100
.
• Anattemptwasmadetodividebyz ero(oranintermediate
calculationresultedinzero).
•
Thecalculationrangesweree xceededwhileperformingcalculations.
• 0oranegativenumberw asenteredasastepvaluein T ABLE
mode. Theabsolutev alueofastar tingvalueorastepv alue
equalsorexceeds10
100
in T ABLEmode.
•
Whenthenumbertobef actoredintoprimesisgreaterthan2and
otherthana10-digitpositiveinteger ,orwhentheresultofpr ime
factorizationisanegativ enumber ,decimal,fraction,
r
, or π.
ERROR03: Nestingerror
•
Theav ailablenumberofb ufferswase xceeded. (Thereare10buffers
for n umeric values and 64 buff ers for calculation instructions).
ERROR 04: Data over
• Dataitemsexceeded100inST A Tmode.
Alert Messages
Cannot delete!
• TheselecteditemcannotbedeletedbypressingN or @
yinthe WriteVieweditor .
Ex. * 5 r A l N
Inthisexample ,deletetheexponentbef oreattemptingtodelete
theparentheses.
Cannot call!
• Thefunctionoroperationstoredindenablememory(D1toD3)
cannot be called.
Ex. Anattemptwasmadetorecallastatisticalv ariablefrom
withinNORMALmode.
Buffer full!
• Theequation(includinganycalculationendinginstructions)
exceededitsmaxim uminputbuffer(159char actersinthe
WriteVieweditoror161charactersintheLineeditor). An
equationmaynote xceeditsmaximuminputbuff er.
Calculation Ranges
24
•
Within the ranges specified, this calculator is accurate to ± 1
of the 10th digit of the mantissa. However , a calculation error
increases in continuous calculations due to accumulation of
each calculation error . (This is the same f or
y
x
,
x
r
, n ! , e
x
, l n ,
etc., where continuous calculations are performed internally .)
Additionally , a calculation error will accumulate and become lar ger
in the vicinity of inflection points and singular points of functions
.
• Calculationranges
±10
−
99
to ± 9.999999999 × 10
99
and 0.
Iftheabsolutevalueofanentryoranalorintermediateresult
of a calculation is less than 10
−
99
, the value is considered to be 0
incalculationsandinthedisplay .
Display of results using r (when EXA CT is selected)
Calculationresultsmaybedispla yedusingr whenallofthe
follo wingconditionsaremet:
• Whenintermediateandnalcalculationresultsaredisplayedin
thefollo wingform:
±
a
P
b
e
±
c
P
d
f
• Wheneachcoefcientfallsintothef ollowingranges:
1
≤ a < 100; 1 < b < 1,000; 0 ≤ c < 100;
1
≤ d < 1,000; 1 ≤ e < 100; 1 ≤ f < 100
• Whenthenumberoftermsintheinter mediateandnal
calculationresultsisoneortwo .
Note: Theresultoftwofractionaltermsthatincluder willbe
reduced to a common denominator .
BA TTER Y REPLA CEMENT
Notes on Battery Replacement
Improperhandlingofbatteriescancauseelectrolyteleakageor
explosion. Besuretoobser vethef ollowinghandlingrules:
• Makesurethene wbatter yisthecorrecttype.
•
Wheninstalling,orientthebatter yproperlyasindicatedinthecalculator.
• Thebatteryisfactory-installedbeforeshipment,andmay
beexhaustedbef oreitreachestheservicelifestatedinthe
specications.
Notes on erasure of memory contents
Whenthebatteryisreplaced,thememor ycontentsare
erased. Erasure can also occur if the calculator is defective
orwhenitisrepaired. Makeanoteofallimportantmemor y
contents in case accidental erasure occurs.
When to Replace the Battery
EL-W531TH:Ifthedisplayhaspoorcontr astev enafteradjusting
thedisplaycontr ast,thebatter yrequiresreplacement.
EL-W531TG/W535XG:Ifthedisplayhaspoorcontr astornothing
appearsonthedisplaywhenj ispressedindimlighting,e ven
afteradjustingthedisplaycontr ast,itistimetoreplacethebatter y .
Cautions
• Fluidfromaleakingbatteryaccidentallyenter inganeyecould
resultinseriousinjur y . Shouldthisoccur ,washwithclean
waterandimmediatelyconsultadoctor .
• Shoulduidfromaleakingbatterycomeincontactwithyour
skinorclothes,immediatelywashwithcleanw ater .
•
Iftheproductisnottobeusedforsometime ,toavoiddamageto
theunitfromaleakingbattery ,removeitandstoreinasaf eplace.
• Donotleav eanexhaustedbatteryinsidetheproduct.
• K eepbatteriesoutofthereachofchildren.
• Anexhaustedbatteryleftinthecalculatormayleakand
damage the calculator .
• Explosionriskmaybecausedbyincorrecthandling.
• Donotthrowbatteriesintoareastheyma yexplode .
Replacement Procedure
1. T ur nthepoweroffbypressing@ o .
2. Removetw oscrews. (Fig. 1)
3. Liftthebatterycovertoremov e.
4 . EL-W531TG/W535XG:Removetheusedbatterybypryingit
outwithaball-pointpenorothersimilarpointeddevice . (Fig. 2)
EL-W531TH: Remov e the used batter y .
5 . EL-W531TG/W535XG:Installonenewbattery .Mak esurethe
“
+” sideisfacingup .
EL-W531TH:Installonenewbattery . Firstinser tthe“
−” side
towardthespring. (Fig.3)
6. Replacethecoverandscre ws.
7. PresstheRESETswitch(onthebac k)withthetipofa
ball-pointpenorsimilarobject.
8. Adjustthedisplaycontrast. See“Adjustingthedispla y
contrast”. Andthenpressj.
• Makesurethatthedispla yappearsasshownbelow . Ifthe
displaydoesnot appearasshown,remov ethebattery ,reinstall
it,andcheckthedispla yonceagain.
Fig. 1 Fig. 2 Fig. 3
Automatic P ower Off Function
Thiscalculatorwillturnitselfofftosavebatterypowerifnoke yis
pressedforappro ximately10minutes.
SPECIFICA TIONS
Display:
96×32dotmatrixliquidcr ystaldisplay
Displayofcalculationresults:
Mantissa: 10 digits
Exponent: 2digits
Internal calculations: Mantissasofupto14digits
P endingoperations: 64 calculations 10 numeric values
P owersource: EL-W531TG/W535XG
Built-in solar cells
1.5 V
…—
(DC): Backupbattery
(Alkalinebattery(LR44orequivalent)× 1)
EL-W531TH
1.5 V
…—
(DC): Heavy duty manganese
battery(sizeAAAorR03)
× 1
Operatingtime:
(varies according to
use and other factors)
EL-W531TG/W535XG
Approx. 3,000hourswhencontinuously
displaying55555at25°C(77°F),using
thealkalinebatteryonly
EL-W531TH
Approx. 17,000hourswhencontinuously
displaying55555at25°C(77°F)
Operatingtemperature:
0°C–40°C(32°F–104°F)
Externaldimensions:
80mm(W)
× 166 mm (D) × 15 mm (H)
3-5/32” (W)
×6-17/32” (D)× 19/32”(H)
Weight: EL-W531TG/W535XG
Approx. 108g(0.24lb)(includingbatter y)
EL-W531TH
Approx. 113g(0.25lb)(includingbatter y)
Accessories:
Battery
×1(installed),operationmanual,
and hard case
FOR MORE INFORMA TION
ABOUT SCIENTIFIC CALCULA T ORS
Visitour Website.
http://sharp-world.com/calculator/
EL-W531TG
EL-W531TH
EL-W535XG
SCIENTIFIC CALCULATOR
MODEL
ENGLISH
OPERA TION MANU AL
Degree
Minute
Second