HP 30S
HP 30S HP 30S
HP 30S
Scie ntifi c Ca lculato r
Scie ntifi c Ca lculato r Scie ntifi c Ca lculato r
Scie ntifi c Ca lculato r
On and O ff O turns the c alculator o n; $ [OFF ] turns it
off .
The ca lculator au tomatically turns off if no key is pre ssed for 9
minutes . Pres s O to reactiv ate the ca lculator. The display ,
memory, and setting s are retain ed.
Dis pl ay The display co mprises th e entry lin e, the result line,
and in dic ator s.
Entry Lin e Y ou can enter up to 80 charact ers. Y our entry
scrolls t o the left—a nd the
± indicat or is display ed—when you
enter 1 1 or m ore ch aract er s.
By defa ult, the ca lculator is in overw rit e mode . In over write
mode t he cursor i s the u nderscore character (_) and an y digit
you ent er appea rs at the c ursor’ s po siti on. I f th ere is a digi t
below t he cursor, that digit i s repla ced by you r new ent ry .
Y ou can also set the ca lculator to ins ert mode . In insert m ode
the cur sor appears as ´ and any digit y ou enter is inserted t o
the left of the cur sor . T o activate inser t mode, pl ace the cu rsor
where you w ant to ins ert a char acte r an d pres s $[
INS]. T o
deact iva te in sert mode , pres s an arro w key or $[
INS] again.
Press p or / to move the cursor th rough an e ntry . T o go
directly to the first character, press $/ . T o go direct ly to the
last cha racter, press $p . T o delete a digit , press e (or, in
overwri te mod e, just type ov er the digit).
Negative Numbers T o enter a negat ive numbe r , press
F b efore entering the digits .
Result Line The result of a calculati on is displa yed on th e
result li ne (the bottom lin e of the d isplay). Up to 10 dig its can be
display ed, as well as a n egative si gn, decima l point, th e ×
10
indic at or , and a po siti ve o r nega tive exp onent . Ca lcul atio n
accurac y is up to 24 decima l place s.
Indicators These ar e displaye d to indica te certain
selectio ns, states , or setting s (see tab le below).
Order of Entry Y ou enter n umbers a nd operato rs in the
same o rder as yo u write the m in tradit ional arithm etic.
2
nd
Function s F unc tion s re pres ented by t he lab els on the
facep lat e are selec ted by fi rst press ing $ and then the key
below t he label. F or exampl e, to selec t the % fu nction, pre ss
$-. (In this guid e, labels a re enclose d in squar e brac kets.
For exa mple, an in struction to select the % function is indicated
by $[%]. )
Menu s Many func tions and settings ar e available on m enus.
A menu is a list o f options d isplaye d across t he entry lin e. For
exampl e, pres sing $ [
SCI/ENG ] dis plays the m enu for
choosin g the num ber displa y .
Choos e an i tem fr om a menu by pres sin g p or / until the
item is underli ned, and t hen press \ .
T o c ancel a m enu withou t choosin g an item, press U .
Mode s There are four mode s (or opera ting envir onments):
n 0. Home (the defau lt mode, u sed for co mmon calc ulation s)
n 1. Statist ics (
STAT)
n 2. Linear equat ion solver (
L SO LV)
n 3. Quadr atic eq uation solv er (
Q SOLV ).
Press ! to d isplay the Mo des menu. T o select a mode , press
the num ber of the mode. Al ternativ ely , press p or / until the
mode y ou want is under lined and then press \ .
Contrast T o c hange the display c ontrast, pr ess ! a nd
then n or o as many time s as is nec essary. Press U to
close th e Mod es menu.
Previous Entries The HP 30S keeps a reco rd of all t he
entries yo u make (u p to a ma ximum of 320 cha racters). T hese
entries ar e retain ed even i f you turn off the calcula tor .
Press n or o to scro ll through the entries . Y ou can reuse or
edit a pre vious entr y when it i s on the e ntry line.
Last answer The last answe r is stored automatica lly in
memory . It is kept even if you turn th e calculato r off.
T o re trieve th e last an swer, press $[
ANS]. Ans appe ars on the
entry line. Press \ to see t he value o f the last a nswer.
Y o u can also use the l ast answe r in a new calculation by first
pressing an ope rator key (+, - , etc). Ans app ears on th e
entr y li ne fo llow ed by the op era tor . Y ou then compl ete the en tr y
as you wo uld norma lly .
Linear Soluti ons The r esults of s olving a set o f linear
equations are st ored in the variables X and Y.
Quadratic So lutions The r esults of s olving a qu adratic
equation are sto red in the variables X
1
and X
2
, or Y
1
and Y
2
.
Memory variables There ar e five me mory var iables: A, B,
C, D, and EQN. Y ou can store real num bers in var iables A –D ,
and store an expre ssion in EQN .
Y o u can also store rea l numbers in X , Y, X
1
, X
2
, Y
1
, and Y
2
;
howe ver , the val ues i n th ese va riab les are re plac ed wi th li near
equation and qu adratic so lutions.
Y o u store a number or expressio n in a varia ble by en tering it,
pressing ? , selectin g the variable from the V ariab les menu,
and press ing \ .
Constant expression [K] A con stant exp ression is any
combinat ion of operato rs, functions, var iables, and numb ers
that can b e added to the e nd of an entry and be evalua ted. A
constant expres sion is use ful if you w ant to ap ply the sam e
oper ati on man y time s to dif fer ent i nput s.
T o de fine (or mo dify) the c onstant ex pression, press $ [
K],
enter the o perato rs, function s, and num bers that y ou need, an d
press \ .
T o use the cons tant expre ssion, the K indicato r needs to be
displayed . (If it is no t displaye d, press $ [
K].) Pressing \
will no w attach t he constan t express ion to you r input and
evaluate the result. For exam ple, if y our consta nt expres sion is
“+ sin(3 0)”, enterin g 2 and p ressing \ yie lds 2. 5, th at i s,
2 + sin( 30).
T o retu rn to norma l operation , press $[
K] again. The constant
expressio n is retain ed for late r use.
Running memory Press # to add a re sult to run ning
memory . Press ; to subtract the value o n the res ult line from
running m emory . T o recall the value in ru nning me mory , press
:. T o clea r ru nnin g memor y , press : tw ice.
Y o u can reca ll, and reu se, the va riables A , B , C , D , EQN , X , Y,
X
1
, X
2
, Y
1
, and Y
2
, or the va lues in these var iables.
n T o reca ll the value of a varia ble, press $ [
RCL] and p
until the variable i s underline d.
n T o reca ll the variab le, press < and p until the v ariable is
under li ned.
T o cop y the vari able or val ue to t he entry lin e, press \ .
Y o u can create an ex pression usin g the variable s A , B , C , D , X ,
X
1
, X
2
, Y, Y
1
, and Y
2
—for exam ple, 3A
2
+ 4B—a nd store t hat
expressio n in the va riable EQN .
Y o u store an expre ssion in the sam e way that you store a value,
but alway s store it in the v ariable named EQN .
T o eva luate a st ored expre ssion, pre ss </\\. Y o u
are promp ted to specify a value for e ach variable in the
expressio n. Enter a value and press \ .The expres sion is
evaluated and the answer displayed on the re sult line.
Decimal Places Pre ss $[
FIX] to dis play the D ecimal
Places m enu. Pr ess p until the n umbe r of de cima l pl aces y ou
want to s ee display ed is unde rlined, and then press \ . (T he
default se tting is F : floating po int notatio n.)
T o rou nd a num ber to the number of decim al places y ou have
fixed, press $[
RND], en ter the num ber (o r expressi on that
evaluates to a num ber), an d press \ .
Number Display Press $ [
SCI/ EN G] to display the
Number D isplay menu. The items on this menu are FLO ( for
floating p oint), SCI (for scienti fic), and E NG (for en gineering) .
Press p unt il th e type of d ispl ay you want is und erli ned , and
then pre ss \.
Y o u can also enter a n umber in m antiss a-and-exp onent form at
(that is, a s a numbe r and a po wer of 10). Enter th e numb er ,
press E , enter t he power of 10, and press \ .
Changing the Default Setti ng Angle unit s can be
degrees, r adians, or gra ds. The initi al default set ting is degre es.
T o ch ange this to anoth er setting, press X , select th e unit yo u
want, and press \. The an gle setting becomes the ne w
default an d rem ains until y ou chang e it again.
One-Off Change T o override the defau lt angle se tting:
1. Enter the value.
2. Press $[
DMS].
3. Selec t th e unit you wa nt.
4. Press \.
The unit s you c an select are degre es(º), minut es ('), sec onds
(''), ra dians (r), g rads (g), a nd degree s–minutes –seco nds
(¶ DM S ) .
Angle Conversions
1. Change t he defa ult angle setting to what you w ant to
conv ert to.
2. Enter the value of th e unit to c onvert.
3. Press $[
DMS].
4. Choose th e units yo u are c onverting from.
5. Press \ tw ice.
T o fin d the pola r attribute s (r or
θ) of a rec tangular s ystem (x , y )
or vi ce ve rsa, press $[ H] and sele ct an opti on. Y ou can
find r or
θ by spec ifying x an d y, or x or y by specifying r an d θ .
The HP 30S provi des standa rd trigonome tric functions—S,
Z, b—inverse trigonome tric functio ns— $[
SIN
–1
],
$[
COS
–1
], $[TAN
–1
]—an d hyp erbol ic fun cti ons—$ [HYP ]
togethe r with S , Z , b , $ [
SIN
–1
], $ [COS
–1
], and
$[
TAN
–1
].
n T o enter a fraction, enter the n umerator, press V, and
enter the denom inator .
n T o enter a mixed fra ction, ente r the integ er part, pr ess V ,
enter the numera tor , press V, a nd enter th e denomi nator.
n T o conver t between a decimal and fr actional re sult, or vic e
versa, pre ss $ [_ ] and \ .
n T o convert a mixed frac tion to an improper fract ion, or vice
versa, pre ss $ [^ ] and \ .
Pressing P displa ys the Pro bability me nu, with th e following
function s:
Press !1 to displa y the Stat istics menu . The men u
opti ons are 1-VAR (for an alyzing da ta in a sin gle datase t),
2-VAR (for analyzing pair ed data from two datase ts) and
CLR-D ATA (for c lea ring all da ta sets) .
To e n t e r d a t a fo r sta tist ica l ana lys is:
1. From th e St atis tics menu , choo se 1 -V A R or 2-V AR.
2. Press *.
3. Enter an x-va lue and p ress o.
4. Enter the frequency of the x -value (in 1-VAR mode) or the
corres ponding y -value ( in 2-V AR mode) and press o.
5. T o ent er more da ta, repeat from step 3.
Data is r etained u ntil you ov erwrite it o r clear it. Y ou clear d ata
by selec ting
CLR- DATA from the Sta tistics me nu.
T o analyze data you have e ntered:
1. Press J. A rang e of stat ist ica l var iabl es ( see t able bel ow)
is displaye d on the Statistical Results me nu. The fi rst
variab le (n ) is underline d and its valu e is on the result line .
2. Press p to scroll thro ugh the Stati stical R esults menu
(skippi ng any err or messag es that ap pear). The value of
each variable is displayed on the result line.
3. T o use a value in a calculatio n, press \ when t he value is
displayed . The varia ble is cop ied to the entry line.
4. In 2-VAR mo de, to predict a value for x (or y ) giv en a va lue
for y (o r x ), selec t the x' (or y' ) v ariable, p ress \ , ent er
the given value, and press \ a gain.
T o view or change data:
1. Press *.
2. Press o to scroll thro ugh the d ata you ha ve entere d.
3. T o cha nge an en try , display it and enter the new d ata. The
new data you enter overwr ites the ol d entry . Press o or
\ to save the change.
T o exit th e st atis tic s appl icat io n, pre ss ! a nd choose
another option .
T o so lve a set of linear eq uations:
1. Press ! 2.
2. Enter the first equat ion (press ing $ [@ ] and $ [] ]
to enter x and y respective ly).
The equa tion can b e entered as ax +by=c o r y =mx +b .
3. Press $ [ ,] to separ ate the tw o equation s.
4. Enter the second eq uation (as ax +by =c o r y =mx +b ) .
5. Press \.
The Solut ions me nu appea rs with the x -val ue dis pla yed on the
resu lt line . Pr ess p to se e the corre sponding y -value. T hese
solutions a re stor ed in the va riables X and Y. Y ou can use th ese
variabl es in furth er calculat ions.
Y ou can also select a p revious equation to reuse o r edit. Pre ss
Un until tha t equation is on the entry line.
T o solv e a quadr atic equat ion with re al soluti ons:
1. Press ! 3 .
2. Ente r the equa tion. Expre ss it in the form ax
2
+bx +c = 0 .
Y ou can solve a quadrati c equation in x or in y . If you are
enteri ng an equ ation in x , pr ess $ [ @ ] to ent er x;
otherwis e press $ [] ] to ent er y. In both c ases, pre ss
v to ent er the sec ond-order exponent .
3. Press \ .
The Solut ions me nu appea rs with the first root (X
1
or Y
1
)
displayed o n the result line. Press p to see th e second r oot (X
2
or Y
2
). These r oots ar e stored in the variab les X
1
and X
2
, or Y
1
and Y
2
. Y ou can use these vari ables in fu rther calcu lations.
Y ou can also select a p revious equation to reuse o r edit. Pre ss
Un until tha t equation is on the entry line.
Y ou can use a number of commo n physical constants in you r
cal cul atio ns. T o inser t a co nst ant at the curso r pos iti on:
1. Press c to d isplay t he Physic al Constan ts menu.
2. Press p unti l the const ant you w ant is unde rlined (se e
table be low).
3. Press \ .
Source : National Insti tute of Standards and T ec hnology , http://phys ics.nist.gov
1. Ente r the value of the me asurem ent you w ant to con vert.
2. Press h .
3. Press o to s croll to the ap pro pria te un its m enu . (The re ar e
menus c overing di stances , area, ma ss, volum e, capacity,
tempera ture, energ y , and pressu re.)
4. Press p until the u nits you a re con ver ting from a re
underlin ed; then press \.
5. Press p until the u nits you a re con ver ting to are
underlin ed.
If the calc ulator will n ot turn on , press #c toge ther . If the
calculator still doesn ’t turn on, replace th e batteries .
If the calc ulator is on but you g et unexpe cted resu lts, pre ss
$[
RESET] p\. If pr obl ems pe rsis t, run th e self -t est.
Self-test Press $ [
RESET] , and hold down $F and
e. Wh en the T est menu appears, press 1 and then press
\ th ree times. If error me ssages ar e displ ayed during th e
test, the c alculator n eeds a se rvice. P ress X\\ to
canc el t he te st.
Replacing batteries Push down on the ba ttery
comp art ment cove r and s lide it o ff. Repl ace t he tw o butt on- cell
batteries w ith ne w batteries . Use LR4 4 silver ox ide batteri es.
(Equivalen t batteries are G13 and 357.) Do not use
rechargea ble batteri es.
If problem s persi st after you have rep laced the batteries, the
calculator needs a s ervice. For servic e informati on, refer to the
warr ant y sta tem ent en clos ed wi th th is p roduc t.
T o inst all a facep late, inser t the top lo cating lugs into t he holes
provided b eneat h the ! and O ke ys, and pr ess down.
To r emo ve a fa cepl ate, p res s on th e sn ap vi si ble thro ugh the
opening o n the bott om edge o f the c alculator.
This manua l and any ex amples con tained herei n are provided
as-is and are subject to ch ange witho ut notice. Exc ept to the
extent proh ibited by law, Hewlett-Pac kard Compa ny makes no
express or im plied war ranty of any kin d with regard to this guide
and spe cifically d isclaims the implie d warra nties and conditio ns
of merchant ability an d fitness for a particu lar purp ose and
Hewlett-Pa ckard C ompany sha ll not be liable for any errors or
for incidenta l or conse quential dam age in conne ction with the
furnishing , perfo rmance o r use o f this ma nual and the exa mples
herein.
Par t Number F1900 -9000 1 Engl ish
Printed in Ch ina Revi sion 1. 1
Basic operati on
Basic operati on Basic operati on
Basic operati on
Indicat or Meaning
2
nd
2nd set o f functi on keys is active (see below).
MODE Mode sele ction i s active.
STAT Statistics mode i s active.
ENG Numb ers are di spla yed i n engi ne ering nota tio n.
SCI Numbers are dis played in scie ntific no tation.
DEG, RAD,
or
GRAD
Angle set ting is deg rees, radia ns, or gra dians
respective ly .
FIX Number o f decim al places displayed is fixed.
HYP Hyperbolic trig function will be calcula ted.
L
SOLV Linear equat ion solver is activ e.
Q
SOLV Quadratic equation solv er is active.
± °
There are digits to the left or right of the display.
²³
There are earlier or later result s that can be
disp la yed.
M A number is stor ed in runn ing memor y .
–
Result is n egative, o r the entry line is ful l.
K A constan t expressi on can be define d or used.
×10
Result is d isplayed i n scientific or engine ering
notation. Exponent is displ ayed abov e indicato r .
'
Thousand s separat or (for num bers >= 1000).
Or der of Ope r at ion s
Or der of Ope r at ion s Or der o f Op er a tio ns
Or der of Ope r at ion s
1st Express ions ins ide paren theses.
2nd Convers ion of coo rdinate notation.
3rd Function s that are entered b efore t heir argum ent
(such as LN, cos).
4th Functions that are enter ed after th eir argumen t (such
as x
2
).
5th Roots ( ) and exp onentia tion (^).
6th Fractions.
7th
π, random num bers, and physical constants.
8th +/ –
9th Implied m ultiplic ation prec eding fun ctions that are
entered before the ir argu ment.
10th Combina tions (nCr ) and perm utations ( nPr).
1 1th Multiplicatio n, other implie d multiplic ation, and
divisi on.
12th Addition and subtr action.
13th All other conver sions.
x
System Memo ry
System Memo ry System Memo ry
System Memo ry
User Memory
User Memory User Memory
User Memory
Recalling a nd Reusing V ariables
Recalling a nd Reusing V ariables Recalling a nd Reusing V ariables
Recalling a nd Reusing V ariables
Expressi ons
Expressi ons Expressi ons
Expressi ons
Clearing Da ta and Settings
Clearing Da ta and Settings Clearing Da ta and Settings
Clearing Da ta and Settings
U n Clears the ent ry line.
n Clears an error message .
n Clears a menu.
$[CL -VAR ] Clear s all memo ry variables
except EQN.
$[
CL-EQN ] Clear s the cont ents of EQN .
!1 /\ Clear s statistics data.
$[
RESE T] p\ Returns calc ulator to its default
settings. Clears var iables, EQ N,
pending ope rations , running
memor y , const ant ex pre ssio n,
statistica l data, and Ans .
Notation
Notation Notation
Notation
Angle Settings
Angle Settings Angle Settings
Angle Settings
Rectangular and Polar Arithmetic
Rectangular and Polar Arithmetic Rectangular and Polar Arithmetic
Rectangular and Polar Arithmetic
Tr i g o n o m e t r y
Tr i g o n o m e t r y Tr i g o n o m e t r y
Tr i g o n o m e t r y
Fra ctions
Fra ctions Fra ctions
Fra ctions
Probabilit y
Probabilit y Probabilit y
Probabilit y
nP r Calculate s the n umber of possible p ermutation s
of n item s taken r at a t ime .
nCr Calculates the n umber of possible c ombination s
of n item s taken r at a t ime .
! Calculate s the f actorial of a s pecifie d positive
integer n , wh ere n < = 69.
RANDM Creates a rando m real number b etween 0 and 1.
RANDMI Creates a rand om integ er between (and poss ibly
including one of) tw o specifie d integers .
Stati sti cs
Stati sti cs Stati sti cs
Stati sti cs
Va r i a b l e M e a n i n g
n Number of x values or x–y pai rs en ter ed.
or Mean of the x values or y values.
Sx or Sy Sample s tandar d deviatio n.
¸x or ¸y Populatio n standar d devia tion.
or Sum of all x values or y value s.
or Sum of all x
2
values or y
2
values.
Sum of (x × y) for all x–y pa irs.
a Linear re gression y -int ercept.
b Linear re gressio n slope.
r Correlatio n coefficient.
x' Predi cted x value give n a , b , and a y value.
y' Predi cted y value give n a , b , and an x val ue.
Linear System Solver
Linear System Solver Linear System Solver
Linear System Solver
x y
x
∑
y
∑
x
2
∑
y
2
∑
xy
∑
Quadra tic Equation Solver
Quadra tic Equation Solver Quadra tic Equation Solver
Quadra tic Equation Solver
Physical Con stants
Physical Con stants Physical Con stants
Physical Con stants
c speed o f light 2997 92458 m.s
–1
g ac celera tion of gra vity 9.80665 m .s
–2
G gravitatio nal co nstant 6. 673 × 10
–1 1
m
3
kg
–1
s
–2
V
m
molar vo lume of ide al gas 22.41399 6 × 10
–3
m
3
mol
–1
N
A
Avogadro’s number 6.022141 99 × 10
23
mol
–1
e elementary charge 1.602176462 × 1 0
–19
C
m
e
elect ron mass 9.10938188 × 10
–31
kg
m
p
proton m ass 1.672621 58 × 10
–27
kg
m
n
neutron mass 1.674927 16 × 10
–27
kg
R molar ga s cons tant 8.314472 J.mol
–1
K
–1
h Plank’s constant 6.626068 76 × 10
–34
J. s
k Boltzman n’s const ant 1.3806503 × 10
–23
J.K
–1
Unit C onversion
Unit C onversion Unit C onversion
Unit C onversion
Error Mes sag es
Error Mes sag es Error Mes sag es
Error Mes sag es
DIVIDE BY 0 Attemp t to divide by zero.
DOM Input is outside a llowabl e limits.
OVERFLO W Result i s outside t he calcula tor ’s display l imits.
STAT Statistic s key presse d but not i n statistics m ode.
SYN Syntax erro r .
ARG Inappro priate argume nt.
SAVE Ca nn ot st ore va ri able o r EQN i n cur rent mode.
FREQ DOMAIN Freque ncy is n ot 0 or a p ositive int eger .
MULT I SOLS There is more tha n one solu tion.
NO SOLUT ION The re is no so lution.
NO REAL SOL There is no real s olution.
EQU LENGT H I nput plus constant e xpress ion is grea ter than
80 char acters.
T r oubleshooting
T r oubleshooting T r oubleshooting
T r oubleshooting
Fac e pl a te s
Fac e pl a te s Fac e pl a te s
Fac e pl a te s
Disclaimer
Disclaimer Disclaimer
Disclaimer
© Copyright 1999- 2000 Hewlett-Packard Development Company, L.P.