APF mark 55 User manual

'nd .. 10 K_,tIo_rd Function_
Below is alayout 01 Ihe Malk 55 keyboard Afler each
lunction are the page numbll" giving a delinitlOn (fl'st
number) and basiceKample (second numberl ollhat func-
tion
Df'S 8,8 HI'P II. II IW 1 11 10& 15, 15 clr
SlIfT 1 I llCl 22, n S10 22. 22 l~ 15 I~ CU
,
•
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Section II
Ge".,,1 Operlltlng Instruettons
Fvndl~ell. 7
Getting St.,,, . • , 1
Keys lind S""IC...... •................•.. 1
Oispllly Form". and Number Ent')' .8
RenlH Poll.t1 NOllIHon end 1M Op",nd St,de 9
Single
V,nlbll Functions . .. 10
Two V,",ble Function. 10
e,sie FUnC1I01\' OIflnld 10
Slxk Mllllpulauon _....... .. 11
Cl ing _. • 11
How 10 UN RPN 10 E""u.le Mat!lematiCilI Equllions 12
St/illl ,"d M1Ked Caleo.o~tions 14
CorTlI'CI,ng Inpul Errol! . .. 14
Single V.-t'b1e F\lnetlolll .. 15
logarilh". linD EltponenUl1. .• .. 15
It', It. till. Itl 15
TngOflomelrlt Cak:ulllions..... •16
RaQiafllOlOr .. Convlltlo", •.•. , .....••••••.. 18
Hypertlolic FuncTIons .. 18
Two V,r1,b~ Functlonl . ," 19
Powllli lin(] ROlli. .. , 19
Pert«llage Calcuillions , , 19
Polar/Rectangul.r Convert;lon, ..... . ....•... 21
Memo,_ O"ereUGne ....• _ 22
Storage/Recall ,•. .. . 22
Unrntrltle<! erld Restrletlld SIOr"91 .. 22
Clearl"" Memories ..22
Perlormln" Arllhmellc wilt> Memori&$ .23
SI,ll'tleel FUrlCtlOIll .. , 24
SLlmm,Uo" ,nd M .. n , , .. 24
Vananee and Slindard Devillion ,24
Error Recovery _. , , ..•.. 2S
Duel 8ummetlon ,....... .25
Veeto. Addition. . .. ,........ • 25
Mll'lrlc end U.S. Conw"'Ion'....... . .. , ..26
0" """ U","' .27
Overllow~nclernow . .. " 21
Error Condillon'... .. .. , ..... 21
SKtlon I
Intraductlon. • •.•.•.•.••••••..
Poltab~ 1S_n.ry or A.C. OS"_retlon
Cere oj Yow Celeul'tor .
j
'<.16
10.13
I~ IS
19. 19
16.2'
II}, 13
: n.1l
, 11. II
II1-g<ll zr., 26
10, lJ "'" II 21
~ 2. •1
Z. Z~ 1(1
.' 15. IS t-f 26 26
~I l' 10,13
6% : 2tI. 20 tm-In
1:\111
16. 11 .,
f6.11 !.~
l~. 16 ~CI g. 8 'a-·lb
1lJ [NT·9 11
1
"
"
l .,
•
,
1'.1' I.
16,11 TNt
1
1
, 7 .I
,
8
~ ..
CO,
1
,
21 21
16 11
1
1
1
-,.
'"
•
lASH 14.1~ "
,,
j

SKtfon III
Pr8ctiC81 Ex8mpla.
Malllemadcs .,......... ..... . •.• 28
Buslna .. and FInance . . . 30
Sladilln .. _.... • 3t
COmbln.tlons , 31
Parmu,,"onl .32
Plob.blllty . .. 32
E'ac:trlcal E"9lnllr1ng .. 33
MlcllanlCIII Englne,rlng .. 3S
N,vlgaUon .... ....... ..... . . 38
Atomic and Nucl ••• Ph~lle •........................... , .. 37
Quantum Physlca .. ....•... . 37
Section IV
Useful EQuatlon.
Trlgonomelry ..
Geometry
Logerlthms
Complu Numb.,.
Su,lna nd Flnenee .
51.dsU", , .
Appendlus
A. Phr-Jul Cof'IIt.a,U.
8. P~lh'l for PO.lr of TIR
C. COR .... rllon FU;llIfl
,
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_ .•. 39
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..... , "0
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. ••••• 41
.,
.,
••
Section I
Introduction
You, API' Mark 55 Ad ... anced ScianUfle Cilleulltor ulmlllS recent
d",lIIopn':ln!$ in $t'mieonduetor Inte<,lraled CirCUitry. 10 provide
you
Wllh I.l powerful eompUlalionallM:rumertl. caplble ofsolving a
w,d. "tllrtlly 01 probllms. The Mark 55 Is aporIable calculator
elpable of operillng from antler IMIl conlalned recnargaable
tNIl1ery pack, or Irom 11'1 A.C OOllplor
Your ealeuillor U5flS Ihl mOle elllcl'nl mlllhllO 01 RIlV8rs8 Polish
Notillon [RPN). With RPN you nave alour (..) reglstlr operand
stack. Mel to this lealure nlnll (9) slorllll' mlltflorills amI you can
WQrk the most complicated mathemallcal equaTions .... lln lull con'
lid6nCil O' aceuracy_ Enul.s or resull, cal'l be.s small uO.l x,O ..
or., Ilrlll as 999999999999>< 10". and elln bedlsplayt!d in Illher ..
I...elve (12) digit noallng decimal
mode or asckmlilic notallan
mode with .. lin pOl digit mantis$.:l aM two 12l digll 1X0001'l1nl.
The follOw,", is a lISl 01 tome of lhe lealu,,,, 01 your calculator;
• BuIC Iodd, 5ubllilCI. Multiply. DIYldl
•
Cln' Inlfy. Clear Ove.llOW Clear display, CIe.r r~:stars
•Tllg fund,ons--ealculaie In radians or degrR'S
• In, log. I". 10"
•Powe15 yO. Roo\$; ~'Y : functions olx •'i", lIX, x". xl
• ~-perl)Q~c lUnetlons
•Vector <tddltion.subtr;K.tJon
•Patl;am';les; adOorvdlSCllYlll.'y1eld16pe'C8IItag':gross profit
margon
•Statlshca! !: •. .£:~. 8"'1!<BglI5 51andil.d dew"'1005
9 Slor~e memo"es
• :r; t012 dlgl'laccuracy
• ./. $lgn chllnge
•Pol.riRect.lflgul.r con ....fslons
•Flad,..
~Deg,ee convenilQl1
•Mel,!c1lJ 5. unit conversions
Althougll ll'ltl MiU1, S5 ... as C1eslgn.d primarily lor sci.mists al'ld
Iflgln'a", Its prlee pUIS It well wllhin the felCh of sludents al'd
sctlOOls, and 11.5 powe< makes It Invaluabla for any commarcl.lor
Ind~slrl.1 manager.
PleaH review Iha InslrUCllons In thl, manual Wo,k lh,au;h thl!
eumples lItustfolea. ilnd wlthltl" very 5110rl tune, you will becomfl
prollclenl
In using your new n":ulalll',
CONVENIENT. "APIO. ACCURATE. YOU WILL FIND MANY USES
fOR YOUR ELECTRONIC CALCULATOR.
,

Portable Benery or A.C. Operallon
aatlery Operallon
VOtIf t1andMold pclrt&bIeelectronIC calculalor 1$ made wilh • ~
roehargeable NI<AD DlIt1ery pack Undet normll Opelal!ng eondi-
lions ~~ can expeC1 at\Oul 5·7 hOurs 01 ealtl.llallon lime for e fl.lll~
charged baltery.
Ttle NI-cAD l)allery pacIc iii tully Charged and les1ed al lhe t;t(:lory
be'ore Shipping ~_. GUt! 10 shelf IillI Giacflarglng. _,....
Comtnl!!nd IIlaI )"llu chltfge Ihe tHll1"',," lor 24 hou~ prior 10 use
When 1M tlallery lIalrnosIGiachlfg8ll. tl'NI dISplay ""II appurGtm
and atlculallOn5 ... ,11 becomeetlaTic. To pr~llmproper calcula-
tions th. tHlnery Should DIt rKharg8ll as soon Upclsslble.
NOTE: As iI gflllll~1 rule. illmpropar oceralio" occurs. first I,., u ..
calculalor w,th Ih ltClaptorlchar~. connected. If operatlon Is then
normal. lhlS INllClltflS INT the ban.-. are low.
Bitt.,., Ch •• glng
Connecl tI'Ie ad~Tor:chargl' (Typa 415) Inlo a conven .. "1 sautee
01110-12(1 WlltsA..C Tum 1111I calculltO' powe"",il::hotf and push
The lIdapTor/Cl'lilrge. plug II.mly InlO l!"le .. a' sockel of ml cal-
culator Cr1lIck lhat lhe plug is Inser111d all the way. Alull charge will
laka apP'Ol(lrnalely Uhouf$ and .. best done oYemlght. For the
"'st haurot ChargIng. Ihe o",'off swHch muSI be In the ott position.
NOTE: Ope .. I,"g Ih. talculalor du.,ng ch.,glng .... 111 Increase the
lIme laquJled to. aNIl charge
","C.Ope.atlon
ConneCllhecharger'adapTorlTvpe '*15) 10 a sourco ot 11G-120volt
A.C. Turn Ihe po .... ., switCh TO the 011 posITion and push the
chargttrladaplo. plug 'irmly InTo the rear sockot ollht! calculalor.
Then simply
lurn Ihe power switCh on.
NOTE: When disconnecting lhe charger(adaptar. Tum lhe power
SWllCh ollafld IIlwlIYll (liS4;ar"inect lhe pl"g Iram the calculator Ilrst.
Cllre 01 Your Celculator
For beSl Cilfe of your calculalar. the follOW ng polnl5 should be
nalec:
• Neva< use arty Other A.C adaplor/reochilrgttr uceollM moeel
type 415 (!ncluded) Improper ,npul could do permaoentdllm898
TO your Ulcul,tot.
• As .... ith aU fine equioment, proTect your calculaTor fTom shock.
Also protllCl your mac:hlne from din. dllmpness 'nd abrasion.
YOllr calculator Is sUfIS)IIIfd ...ith a proteclMl c:arry;Ilg C-..
NeYer attempt 10 tak. YOUt calculator IpiIfLThIsshould 00 dono
only by Qu,llfled APr' 58",ICO perlOr'U'IeI.
• fOl" bllSll.rvlC8. Itle calcull101lhould ~ u.c1.fld 'echar!Jed al
tN51 monthly Turn tile po_ s .. ,lch art wt>en f'IOl in lISI.
Do not store you. cldculalor in an area .. ne,.. Itmptlfalute Yrilt
... c:eed 12QF SUCh lemperaturaS could be experienced in iii
clOSed iluromobile during summer
• If the calculaTor has been chilled al D.lo .... truzlng temperatures;.
aHo.-
1111I machine 10 ..... arm It· several hau"" belorfl operaTIng
•
N_r clean the celculator Yrith sotWlllIs, such as pamtthlnner.
Use onl~ awaTer dampenec soft cloth.
,

I
Section II
General Operating Instructions
Fundamental,
Gattln; Statt.ct
'(our JlPF Marlil 55ls ahlpped Wllh ~ bIItleues '" place, Refill to
p'ge .. ICIr "ttel)' and "-C ope-union
Kap and Swften..
The figure on p-oe 6IUUSltal1l6 ttloI ileytlollrd I.)'OUI.
PO' .... ER SWlTCH-SllCla thB ;xlWef swllth \0 lhe len 10 lurn the
ClIlcullltor on
SHIFT KEY_The kfJyboa«l eot\Io,sts of 30 keys_In order to gi¥1I yollt
Ponilllill CalculatormaxllT'um up'b,lity In• minimum si;re, 17 keys
IneorpOlala. SHIFT FUNCTION SYSTEM lim,lar:o II typewriter.
THE CALCULATOR AESPONOS TO THE FUNCTION IIo4PRINTEO
ON THE KEYS IN THE UNSHIFTEO l\.4ooE. AND THE FUNCTIONS
ABOVE THE KEYS IN THE SHIFTED MODE
To USI! the un5h,fled
fulleti(lnslmpfy louch lneselectoa key To uwtne5hlfted tunctlon.
firsl tOUch the In,f'! kly ISHIF'n. then the Itey with the de!';lfed
hmc:tiotl p'mlod above II
Also lh, •• lIrll 4 dual lunellon hr' tSHIFT/OPS. INVfSTO
HYPiRCl, (),\"ASTX). which de- nol requ,re touell,ng the shill key
pl'iof to u$lng .,ther lunClk:ln Which function l' performed, I,
de:ermlned by the nelCl key to\K:hed
ReIer
10 IIIe KEY INDEX (Inside Ironl cover). 101' lurther <tescriplion
on thew keys
NOTE In III eXlmples Ind pplanll;o", ,n IhlS bOOk. rnmshlltld
lunl;1,on,
Ire ,ndlcated by (FUNCTION]. and shilled lunctions are
lnd,catec cy [SHIFT] (H./lClJ.
DATA ENTRY KEYS
NUMERIC
KEYS..$'lntHl,d II) to 191 ~Il)'bo(trd is provided as \JI'~las
[Ol alWl decimal POlnl fI
1'/ }-Change ,i,;;n ~ey Changes ltlluilgn ollhedlsplay from + to
-or-IO",
[SHIFT] (")-EnlorsthevaluEl til theCOI'lSlElfll pi (,,) 10 12 ,Ignillcanl
dlgllS (3.1ot159265359)
lee]_ls the Iwo 'Ighl molt dlgl" 10 uro end propares the cal·
culltor 10 Bc~tlh' subSOQuenl number as an uponel'lt 0110.
IINV]--ll'lstructs tne c.lculltor 10 calculale lhe IrlVerse 1~llon 01
lhe nElxI ~!I'IlouchoX1.(I.El.IINVlllnl ruults In e.)
,

•
",0 I;? diglt8
oegatlVl "
round
10 1placllS
'lo,)lIng dlclm.lln manti"a
ro ... nd dowrl 10 2pl;lells
flllu.n to floating dllclm.1
moo ••
TopOl
S~,
Register
Conlents
N~
w•
Z,
,•
X•
rENT]-louChlrlg II\e enter key
cople. the COrllent. 01 lhe X reo
glSlftl InlO the Yregl5ter. AI$O
Ihe COrllents 01 Ihe Y all(,\ Z'e-
glsten; Otl!! moved up one place.
The cont.rlts 01 tho Wregister
lire dlKatded,
Revers. Polish Nolalion
And the Operlnd Steck
NOTE: The conlentli of
thl X regl'ler t-I Is always
displayed
When I number ill key«!
In. II goa Into the Xregnr-
~,
To per!otm calculations, lheMark 56 uses Re........ Polish Notation
(RPNj
also known ll$ LukasieWicz Notalion RPN '5 ttl. etficietlt
method Und bY compuler'S to evaluate malhem.tlclilltpresslons.
Wllh RPN, lh.a III one basic rull! to 101lOW; AI .... ays entBf the
ope. and tnl/mber) or operllll'\dS liml. then pIII10rm 1M op.r atlon.As
a
simple eUlnple. to add 2+3. 11.,1 enllf the 2 end 3, and lhen
perform
Ihe ( ... Iopel'etlon.
To .1I0w ent')' 01 ope.ands. lherllV'e ~ mamory regl$lera ar.anged
in II vertical Itllck. For Illtplonation p ... rp0905, Ihl reglSllr names
will be dll$igneled by upper caseX. Y,Z. and WTheir conlents (Ihe
number stored In them), will be raspecllvlly dealgnated by alower
cIISe x. y, l:, o"l! w.
,
Olsplar Fom'I8lt and Number Enlry
Enterlld nU"l\bal'$
or ~Its can be dlsplit)'ed In e,lher thoe IlOrMal
mode o. tl\e !ilCienllllC mode.
NORMAL MODE-This mode d,splays entnes or 'MuIIS in aslgnlld
12 d'9'llIo.lIng (\1!Cl'Tlal or II_ad deci"",,1 point mod •.
SCIENTIfiC MODE-This mooe di$p\oy6 er'lln" or r8Mllts wltn a
signlld
100lglt manU .. ( .... lIlIllllII<I or "ootir'lgdeclmal poinl)ofld 0
slgnfd:2 digit e .. poner'll NOTE Tile calculalo, llulom.,ICSlly goes
IIItO 111_ ael.nlillc /I"Io(\e Whfn •• e,ull Of entry e_ceads
999999999999
IOPS]-Oeclmlll plJinl SIl\_prIlpares the clllclllllltO' to sel lhe dis·
play lOllnOI <IS specified by tr.a nOllt key entry.
[OPS] (sCI}-Wili setll>adisplaV lormat to sclenl>llC nOlallon mOCle.
(decimal point In 1!'Ie marllissa is II0illing).
lOPS] [INVllacJ)-Wili Mllhe display lothe normall:2diglt Iloaling
QIIClml1 mod •.
[OPS} IN}-'Nl1l11l1Ihe rlumber of dlg,1S 10 lhe .ight 01 lhe oeclmal
polnllo Nplace1 NIs any rlUml/l'!e kBy lrom 0 through 9. You carl
SOl a tilt_ dec,mal poinl in either thll 1:2 digit no.mal modll di:tDlIIY,
or In Ihe 10 d'9it mlnllssa 01 iI scienll,c rnQ(\e dl$pl.y
Convening btrtvl'een varIOUS dJs9lay moo., does not dlK.lroy elata.
end the cak;u\aIQr always perlOfm$ ealculation:t Illlernally to 12
s,gnlllu,nl dlgll:t. When Ii fi.. ed pamt dl:tpl.ay modi! Is used 1M
calculator wIn round lhe dl$piay 10 the approprtat. number 01
declmlt places TI\.1 ".11.,011 are in tilled po,nl3IllO(\e.an IfllerMl
reJlllI oi 2.&t27\ \OIl!1 be display9ll as 2.ti13.
Ell8mgl.........emef the ItllUft of r>egal<ve pl(_J_ III Ik>allng poInl molle.
Set lhe decImal poIllI 10 1 places. C"""nglI to 1cle/llJlic mooe. Set
tI\fl mar'llin. \0:2 decimal Olaees and then eonV'l'f1 back 10 floaung
ctee,mll mOOI
NOTE WileI'! power is 11m lurned on, lhe C8l(:ulalor automatically
gaM 10 .... ed lH<lmal poml mode -.. places.
Ke,5equenee OIapll' Commenls
Power 'on' 0.00
(OPS) IINVl(sc'} 0
[SHIFT) (III 3 t~159265359
(./ I -3 HI 59265359
(OPS) (1) 31415927
lOPS] (fC;) 3 H1592653 00
IDPSll:2] -3.1~ 00
lOPS) [INY) (fcll J I~ 159285359

SladL ""nlpuletlorl -There arB lwo lunC-loons used to move the
contenls of III,,,~ '19iste'"
-,
.w
w---
,
[x- ·vl- Slrnultllneously $Wilcr>-
es the conl.nts 01 the X and Y
reglslers The W end Zreg'sters
remain the same
.. z
y,------+'
w. __.w
Sl....,1e Variable func:tlon ••
Fune:lIons suc:h 8$ x' are e:alled
,"'gla ~arilble /unciions since
Illlly onl) ,eou". a "ngle
opllrand In order 10 011 per-
forme<! Whe", single ~a"lIote
lune:tlol1 I. poerlorme<! [Ffxll.
only th,e:ontllnl. at theX rtlll''''-
Ill" ilrllllffec:l8(/
Two Va,I.Ole funCllona -
function. ,ucn as Ado are Clill·
leo 2' ~i!fiable 'UnClIOnS When <1
2 Ylrjlole lunction i' per-
lormeo. thll Jt and Yreg,sters
.ra ulll(\ .nCl the , •• ull IS
pla(1O In tile X reg,ster. tile
contentl at the W and Zregis-
llIrs _ down one pl.1.te.
wW
l ---- .. Z
y~,
LIll.r1 .. X
w
-----------
.w
IIl-Ro"te K,y - mo~es the
contents 01 each rlllJisl~ In lhe
-.
,
.11Cl( dOwn 01\1 po.ltlon and
-----
mo~8S lha eonle"'" 01 II", Xto
-----.
the w legi'ter
y,
-
•
-----------.
,
Clurlng
\CLXI- T OUCtoing this !ley w,U clear only the X,egoster (the dlsplayl.
It Is also uMci during ~lIrtloW WIll UI'IIl.rllow (see Pf,QIIl 21).
[SHIFTI (CIr)-TOl.lCl'lIng thIS /unction w.1I elt ... the X Y Z. and W
r~IsI'rs, NOTE Alll\ou.gh ft IS not necUHry. 001 might be com-
lorl"'9 louCh ISHIFTI (cl,! Prior 10 sUlrtJr'lg a....... elxul'lIon
COIIIm,n"
clear ~. y. z. W
10 goes into X
pust>es Inll stack up ,nil 20 into X.
pustollll the stacl( Ul) and 30 fnto X.
pushes lhe stack up Ilml 4Q mto X
clears
X. V, Z. and Wremolrlttoe &a1Tlft
,Olale st.cl(
ellla,s It., Y. Z. Ind w
OI.ay
o
"
20
"
"o
30.
o
o
1I •• 1c ! ... mpl,
Key Sllqullnc,
[SHIFTl (e/r)
"
fENT! 20
IENn 30
{ENn 40
[CUt]
III
ISH1F"T1 (clr)
III [11 Ul
NOTE To cl{t ... rall regiSl&rs InehJdlng the stoflg' memo'les. tum
11'111 c&lculato, power on lind oil
8
.. 1e: func:uonl O,"~
r~ ]-Adels the e:ontents 01 Jt and Yregistef'S. Platts !he r,sult in X
and pulls ll'le Slil(k down.{y IX}-X
1-]-Sul)lfllc:l' tM e:ontents ofXIrom the e:ontents ot YPloeM the
result
In X and pulls the slack down. (y-x}-X
[_!_Mulhplles the eonlllntl 01 Y and X reglsta" PI..::., lhe result
in It IP'Id pulls the stack down (~xx~X
I "j-oNPdes the e:onlents 01 Y by the eontents 01 X. Plac:es the
result in
II: Rnd pull, tile stack down. (~. x)-.X
10
"

NOTE "U lracllonli liflould I;)e m.nlBlly rewrillen "
lnum.! alor}-jdenomlnatorl
Key In and .nter
1",\ num!)tf
Key In ilnd entef
2nd ntlmbef
Ker in 2lind perlom 0 .... 1110'1.
Key in 3{aulor>ltlC enter of 0 51.
Enter 3
Ker In 4and peflorm d'vislOn.
Add 1<. MlC Yu'IllstSfs
Dlvlde
., ny " - .ns"""
hsmple ,: 10 calculate ~--c=-,::'~DO~'1'~Oc~;;;':;:- _
\50>l1QJj [0.2)<10")
OlspllY Commlnts
oClear reglst8tll
-100.-03 K.y numerllor and
-0.1 Enter
50000. Key In SOx 10' alld enter.
om Key In .2x10 •and mlltlipfy .
-10. OMele·.ns .....r
K.W SeqYBnCe
[SHIFT] (el,)
100( ~1-1 [EEI:![ ~1-1
lENn
SOIEEI31ENn
• 2[EEI6[-1-11Xl
I I
E",mple 2: 10 call:Ulale ~c'6", __
¥I+:l:o
Mll'Itlll., r@wrltethl'" 6~rtl 2) 1(3 ~411
Ke., Sequence OIaplay Comm,nt.
[SHIFT) (eI'J O.
, 6
lENT] S.
,,
lENT] I.
21 I 0.5
3 3
(ENTl 3
4\_1 0.75
It 1 1.25
I~I 4.8
eumpll 1: 10 calculate 6-2-3
Ke., Sequ ... uDispla., COl1'lmenlt
[SHIFT) (cll) O. Cle" all reoiSl~ in stack.
6 6 Ke., IfI III" ntll"lber • SHIP 2
lENT] 6. SIt;ls3andSareno·sogoloslep8.
2 2 Back al step 2.
I·) 6. Co 10 SliP 7.
Thon sliPs 3 ana Sari no.
Then St.p 61' omll1ed "nee lhe
dlliplay conlalfls •rKul1 of ,
[Functlon]_
3 3 Step 2
l-J 5. St.ps 3+7 .• n ...... r
•
•
~"ll'~ '" 19'1
SI"" 01 E<l\JIII,,,'
Ikp1
NOTE· O\l"O'IgSlep6. 'fOu DO'Ilyhavelo 10~ch IENTEflllftlle O'IUmber
was JUS! k-Ved 10'1. Wllenellt!r the dlgpilly CDO'Itll;ns the rBSiltl 01 a
FUO'IcUon, It r, '101 noCB&SllI)' to touch [ENTER] belore keying in II
nyrnb.r
H_To U .. APN
To f.-lu.t, lot.th.m.delll Equation.
10 entor and wlv. prob'-mt using RPN •• nd thl operationalSlack,
simply 10110 .... lhe ruin outlined In the flow chart below (Ao flow
dlart It al)lIth 01 sImple SIep5 10 lollow)
""

EI'II~ II,S! n..mbe, en(l
2nd ""'''be' al'ld ~rlorm ad(llilon
II Is no: naea",,")' 10 IENTER] 9
~Ince il Is e fesull 01 A ClIIc;ulaho'ln
Enro,8 aM .Ulw.et
Entel 9amI el1d
Enler 63, ,ublr,et, In •• ar
5l 10" 10" decimal places
OJ.pl.y Commants
O.DO Set dee ...... 2 places
-0.30 C.,cu·a:e log .s
C" '>0 Recall I .. , "gl.l"'enl and
3.15 Use to calcull.18 10'
2.86 AOd II ana 1 • an_e'
E..ll8mpla: to calculale log
K.y Saquanc.
lOPS] 2
5 ISH Fli flog/
RCl] lST Xl
,SHIFT.[INVj llog)
[.[
lOil"ltnm •• f!d E.lpon.ntl.11
111'11- CalCUlaln lhe log Dase e 01 tl'l8 dlspl~
ISHlfTj (log) ealeulal~ Ih. log, t;r.ase 10,01 Ih. (hIiOI,\y.
llNVI lin] -a •- ealeulalllS the nalural antHog •• alMS e 10 Ihepower
in lne display
[SHIFTlIINV)(iogj
10' -eale .. lateslhe comma" anlHog' rBlSes 10
It) trill oa ... e, In the dlS~lay
hllmpl.: Ie ealc",h\le 11'13.1"30 to 2 doclmal plac.
K.y Saquanca Display Commants
IOPSI 2 000 Sel occ;rnal 10 2pltlces
Jlin I 1 10 C..lcul.ne In J
30 Itnl 340 C8lculale In 3D
I-I " 50 Add. and y reg'''I' . ans.a'
Single Variable Funclions
Ilah.r • COIleul.t,~n oeeul'$ a "lew nU'T'b.r 11 k'Yt'd 11'1, an 'Ulom'I,C
IEHTER] Is first ~.rlo,rr~!l ~rn':ling Wile: ClI1eullll-ons
Eumpl,: to (;I1("lar, 6~3-8"'9~63
KIY S.quanea Oll~l.)' Comm.ntt
lSHlnl (e") 0
6!ENn 5.
3!, I 9
8H I,
9111 10
631-1 -53.
Eum~l.: to e.lcul.le
Hi6>'4)-4}"lll-{13-3H]_{(23_9_H) 13~ W
I(.y Saquanca OI.~I.)'
51ENTI 41Xl 24
41 ]20.
II lENT! 18'Em] Jl II ]5.
'·1 ~,
23 IENTj9[' t4{ 18
3!ENnl ~I1XI 1,5
I I 12-
lXI XlO.
Clear SlICk
Ellle, 12 to Yreg,sle.
CD~dngl"~ ~r~
1\ •n.. rrll.f IS ,nCO'~ lleyeC '1'1. ~mplp tOUCh lCLX} and lnen
ellll' tna CO<I1ICt nurrll.f
Eralllpl<l: 10 uleulale 12·7
X.y Sequ.nca DllflIay Com_nls
ISHIFT} (prj 0
121ENT] 12.
,,
MISTAKE MISTAKE'
ICLX] 0Clear only l(
7 7
lX] 84 enlwe<
(RCLj {LST X]- Besides the 4rell'ste. opel.1Id 'ltck. In"e Is an
addItional '1!9'1lte< U!lOld 10 slore lhe n .. mbo!' Ihal was In Ihe x
reglltel Whtl'l tha last lunellon "la, ~er1ormtCl To bring this
number DlIC~ 10 the xreglsle,. simply louch rhe sequence IRCll
llST X]. TIIII luncllon I, useful for rtpeatBClI~ ullng an operand In
se~e,,' c.all;:ulaIIOl'\S (ex as n conslllOAI)
Exampl.; ;0 calcu.ale e· . ...-l10 two e.cl .... 11 0 ICes
Kay Saqua~ Dlspla, Commem.
IOPSj 121 0.00 Set decinl.l to 2p!.tces
101-' r lENT] II [ U17 Caleul.te ( Hl.5J
[INV1lln] 0.19 answ.t
)I', \!X, 11X .,.d Xl
{SHIFTI (I r) • C.leula:es :nl re-e,procal 01 the oisoll.Y
[SHIF'Ti (\ x) . CllOlcula:11 IhI sou,,'e root of Ina dIS? 3','.
[SH1FTlIlNV] (\., ll" Calculates ,"e square 01 Ihe Clisptay
[SHlrTl (1!) -Ca1C\lla:n the feetorlal of the dl,pl"V {l"al I'll'll
p,oducl 01 (Xl (1(-11 fX-"I .. (H Tna maxImum nl/mo", wilose
factorial elln be calculaled Is 69. Ho ...... ~e., by ""Ing 0~ell10w In-
IefPfelatloll (see page 27)Ir.e l/1clotiltl oll'lumtlers up tr.l 120 can be
ealculallld,
..
"

Exampl.: 10 calculate t3t to floating CllK:lmal
(13 '1)'
'.6 in cagr .. s
...... ,
000
000
So.,
En"'pla: to calculate cos 12 .. -4.19) 10 2aeelmal plltOllS
K., s.q",.nc. Dlspl.,
[OPS] 20.00
[SHIFTjlr.d} 0.00.
2[ENntSHIF'T1 r,,} [X] 6.2!
419 l-I 2.09.
ICOS) -0.50 .n •••'
E .. ..,p.: to caJc:ulaltl $In 4:>- ,n f\(Wlllng decimal mod.
K~ S .... _ Dtap~,
10000SIIINV) (!el) 0
ISHIFTj [IN'll (TId} O.
421SfN] !l691JOe(l6358 .n ....
Exampl.; 10 calculatll ".16-lao-' 1 III fMf,llnlllO 2 atelm.1 pillces
Ka)' Saquanc. Ol.pla)'
(OPSI
2[SHIFTI (,adj 0.00
[SHIFT] r", [ENT) 6[-J 0.52.
, IINVIITAN] 019
[+1 131 anlwar
E.ampla: 10 c.lcul.\e I.n .75,..' sIn $tO" 10 2dlll:lmal pl,OIls
K., SMt\MftCa Ol.pla)'
!OPS!2 0.00
'SHIFTl (flld) 0.00
.15 lENT] [SHIfT} (Ir) {X! 2_36
{TANI -100
(SHIFT][INV)'.-dj 1.00
5.0 (SINII'I -0.50 .n • ..,
INVERSE SINE, INVERSE COSINE. AND INVERSE TANGENT
[IHYjISINI-sin-' -cak:utalllS the ~alue ot the angle I;" fillCloans 0'
c"lilf"s.). wl'105' SIfl. i$ di59la,-d.
lIHYlICOS] -cos·, - talculaas Ihllvaluaol.haangle 1m 'adiansor
d"Of"S). whOSe cosine 'S ci5pleyed
[INVj ITAHI-lan-' -calculates the walue ollfla lIl'Igl. (in rMfians or
dagr .. s). wl10Sa IlTIOIlnlls diSJ)lay«l
Ea,,,,,..: 10 calculalll COlI
K~ Saq"._
IOPSI2
ISHIFTIIINVI (IlIdJ
.6 (INV) [COSj
Comm.nl.
Sel f10ahng decImal
'"
Recall 13
Perlorm suclraC't1Ofl
SOl decimal to 4 places
Calculale v'2a
Calcula" \!35
Add xar"lll y
Calculate 'eclproc.1
,,2 •• n .... er
O"pl.)'
o
6221020800
>3.
2.
31135.0400
Eump~: to cllcvlate (1 )2 to 4d8l;Imal places
v'fa ... V36
DI.pl.y Comm.ntt
0.0000
5.2915
'.0000
11.2915
M8116
00078
Enm,..: to ealculale '1/170-38 10:2 cecl!mll pl.es
K.y S.qU.l'lU DI,p1.y Camm'l'll'
[OPSI :2 0.00 Sel cec,mal 10:2 places
170 (ENT)38(-j 132.00
[SHIFTIfIiJ 1149 .n._
K.)' s.qu.nc.
IOPSJlINV) (tel)
13 [SHIFTj {KI,
IRClllLST XI
11[-]
ISHIFTj (KIJ' I
Trlllllnom.ttk ~~tIon
T"- Mil"' 55 WIll calculate lng or ""'111M trig ~nctions.ln CStogrees
or radlaM.
ISHIFTl (.-d) • c.\lMS the calculalor 10 Inlerpt'el the dispteyed
anglo (ler
In_ lul'>CllOnS to calculal\! an angle) ... being 1fl
radians Aoeclmal point...lIl!Je Ii. in the rlghl most digit 10 Indkale
nKt,_ moee. The calcula!Of will remaon on thIS mode unlll power
"on" 0' unlll the d"lilraes r.lOde Is selecte<l.
[SHIFTl [1NVjtraa) - CIlUH$ the caJculelor to int.e,p,ellhe displ.yed
aog(e, (lor In_ lunchons 10 calcula .. an angla)• .u beIng in
d89'"5-
SINE. COSINE. ANO TANGENT
ISIN]- Oetermlot's the "sine' ot lhe dlspleyed aoglll in ,Qdillns or
dft{lf'e811
(COSI- Oelerm!ou the "eollne" of the displayed angltln radians
Of de\l'oos.
[TANI- [)etafmlnlls t!'lfl "Iangent'·or the d!splayed angle In radians
Of degf"S.
IOPS[ [41
:<8 (SHIFT) (fi)
361SlilFT] (fi)
,. ,
ISHIFT1(IIIl)
jSHIFTJ IINV] (fi)
""