HP 30S
HP 30S
HP 30S
HP 30S
Scientific Calculator
Scientific Calculator
Scientific Calculator
Scientific Calculator
Basic operation
Basic operation
Basic operation
Basic operation
On and Off O turns the calculator on; $ [
] turns it
OFF
off.
The calculator automatically turns off if no key is pressed for 9
minutes. Press O to reactivate the calculator. The display,
memory, and settings are retained.
Display The display comprises the entry line, the result line,
and indicators.
Entry Line You can enter up to 80 characters. Your entry
±
scrolls to the left—and the
indicator is displayed—when you
enter 11 or more characters.
By default, the calculator is in overwrite mode. In overwrite
mode the cursor is the underscore character (_) and any digit
you enter appears at the cursor's position. If there is a digit
below the cursor, that digit is replaced by your new entry.
You can also set the calculator to insert mode. In insert mode
the cursor appears as ´ and any digit you enter is inserted to
the left of the cursor. To activate insert mode, place the cursor
where you want to insert a character and press $[
INS
deactivate insert mode, press an arrow key or $[
INS
Press p or / to move the cursor through an entry. To go
directly to the first character, press $/. To go directly to the
last character, press $p. To delete a digit, press e(or, in
overwrite mode, just type over the digit).
Negative Numbers To enter a negative number, press
F before entering the digits.
Result Line The result of a calculation is displayed on the
result line (the bottom line of the display). Up to 10 digits can be
displayed, as well as a negative sign, decimal point, the ×
indicator, and a positive or negative exponent. Calculation
accuracy is up to 24 decimal places.
Indicators These are displayed to indicate certain
selections, states, or settings (see table below).
Indicator
Meaning
nd
2
2nd set of function keys is active (see below).
Mode selection is active.
MODE
Statistics mode is active.
STAT
Numbers are displayed in engineering notation.
ENG
Numbers are displayed in scientific notation.
SCI
,
,
Angle setting is degrees, radians, or gradians
DEG
RAD
or
GRAD
respectively.
Number of decimal places displayed is fixed.
FIX
Hyperbolic trig function will be calculated.
HYP
L
Linear equation solver is active.
SOLV
Quadratic equation solver is active.
SOLV
Q
± °
There are digits to the left or right of the display.
²³
There are earlier or later results that can be
displayed.
A number is stored in running memory.
M
–
Result is negative, or the entry line is full.
A constant expression can be defined or used.
K
×
Result is displayed in scientific or engineering
10
notation. Exponent is displayed above indicator.
'
Thousands separator (for numbers >= 1000).
Order of Entry You enter numbers and operators in the
same order as you write them in traditional arithmetic.
2
nd
Functions Functions represented by the labels on the
faceplate are selected by first pressing $ and then the key
below the label. For example, to select the % function, press
$. (In this guide, labels are enclosed in square brackets.
For example, an instruction to select the % function is indicated
by $[%].)
Menus Many functions and settings are available on menus.
A menu is a list of options displayed across the entry line. For
example, pressing $[
/
] displays the menu for
SCI
ENG
choosing the number display.
Choose an item from a menu by pressing p or / until the
item is underlined, and then press \.
To cancel a menu without choosing an item, press U.
Modes There are four modes (or operating environments):
n 0. Home (the default mode, used for common calculations)
n 1. Statistics (
)
STAT
n 2. Linear equation solver (
)
L SOLV
n 3. Quadratic equation solver (
).
Q SOLV
Press ! to display the Modes menu. To select a mode, press
the number of the mode. Alternatively, press p or / until the
mode you want is underlined and then press \.
Contrast To change the display contrast, press ! and
then n or o as many times as is necessary. Press U to
close the Modes menu.
Order of Operations
Order of Operations
Order of Operations
Order of Operations
1st Expressions inside parentheses.
2nd Conversion of coordinate notation.
3rd Functions that are entered before their argument
(such as LN, cos).
4th Functions that are entered after their argument (such
as x
2
).
x
5th Roots (
) and exponentiation (^).
6th Fractions.
7th π , random numbers, and physical constants.
8th +/–
9th Implied multiplication preceding functions that are
entered before their argument.
10th Combinations (nCr) and permutations (nPr).
11th Multiplication, other implied multiplication, and
division.
12th Addition and subtraction.
13th All other conversions.
System Memory
System Memory
System Memory
System Memory
Previous Entries The HP 30S keeps a record of all the
entries you make (up to a maximum of 320 characters). These
entries are retained even if you turn off the calculator.
Press n or o to scroll through the entries. You can reuse or
edit a previous entry when it is on the entry line.
Last answer The last answer is stored automatically in
memory. It is kept even if you turn the calculator off.
To retrieve the last answer, press $[
entry line. Press \ to see the value of the last answer.
You can also use the last answer in a new calculation by first
pressing an operator key (+, , etc). Ans appears on the
entry line followed by the operator. You then complete the entry
as you would normally.
Linear Solutions The results of solving a set of linear
equations are stored in the variables X and Y.
Quadratic Solutions The results of solving a quadratic
equation are stored in the variables X
User Memory
User Memory
User Memory
User Memory
Memory variables There are five memory variables: A, B,
C, D, and EQN. You can store real numbers in variables A–D,
and store an expression in EQN.
]. To
You can also store real numbers in X, Y, X
] again.
however, the values in these variables are replaced with linear
equation and quadratic solutions.
You store a number or expression in a variable by entering it,
pressing ?, selecting the variable from the Variables menu,
and pressing \.
Constant expression [K] A constant expression is any
combination of operators, functions, variables, and numbers
that can be added to the end of an entry and be evaluated. A
constant expression is useful if you want to apply the same
10
operation many times to different inputs.
To define (or modify) the constant expression, press $[
enter the operators, functions, and numbers that you need, and
press \.
To use the constant expression, the K indicator needs to be
displayed. (If it is not displayed, press $[
will now attach the constant expression to your input and
evaluate the result. For example, if your constant expression is
"+ sin(30)", entering 2 and pressing \ yields 2.5, that is,
2 + sin(30).
To return to normal operation, press $[
expression is retained for later use.
Running memory Press # to add a result to running
memory. Press ; to subtract the value on the result line from
running memory. To recall the value in running memory, press
:. To clear running memory, press : twice.
Recalling and Reusing Variables
Recalling and Reusing Variables
Recalling and Reusing Variables
Recalling and Reusing Variables
You can recall, and reuse, the variables A, B, C, D, EQN, X, Y,
X
, X
, Y
, and Y
, or the values in these variables.
1
2
1
2
n To recall the value of a variable, press $[
until the variable is underlined.
n To recall the variable, press < and p until the variable is
underlined.
To copy the variable or value to the entry line, press \.
Expressions
Expressions
Expressions
Expressions
You can create an expression using the variables A, B, C, D, X,
X
, X
, Y, Y
, and Y
—for example, 3A
1
2
1
2
expression in the variable EQN.
You store an expression in the same way that you store a value,
but always store it in the variable named EQN.
To evaluate a stored expression, press </\ \. You
are prompted to specify a value for each variable in the
expression. Enter a value and press \.The expression is
evaluated and the answer displayed on the result line.
Clearing Data and Settings
Clearing Data and Settings
Clearing Data and Settings
Clearing Data and Settings
n Clears the entry line.
U
n Clears an error message.
n Clears a menu.
$[

]
Clears all memory variables
CL
VAR
except EQN.
$[

]
Clears the contents of EQN.
CL
EQN
! 1/\
Clears statistics data.
$[
] p\
Returns calculator to its default
RESET
settings. Clears variables, EQN,
pending operations, running
memory, constant expression,
statistical data, and Ans.
Notation
Notation
Notation
Notation
Decimal Places Press $[
] to display the Decimal
FIX
Places menu. Press p until the number of decimal places you
want to see displayed is underlined, and then press \. (The
default setting is F: floating point notation.)
To round a number to the number of decimal places you have
fixed, press $[
], enter the number (or expression that
RND
evaluates to a number), and press \.
Number Display Press $[
/
SCI
Number Display menu. The items on this menu are FLO (for
floating point), SCI (for scientific), and ENG (for engineering).
Press p until the type of display you want is underlined, and
then press \.
You can also enter a number in mantissaandexponent format
(that is, as a number and a power of 10). Enter the number,
press E, enter the power of 10, and press \.
Angle Settings
Angle Settings
Angle Settings
Angle Settings
Changing the Default Setting Angle units can be
degrees, radians, or grads. The initial default setting is degrees.
To change this to another setting, press X, select the unit you
want, and press \. The angle setting becomes the new
default and remains until you change it again.
OneOff Change To override the default angle setting:
1. Enter the value.
2. Press $[
DMS
3. Select the unit you want.
4. Press \.
The units you can select are degrees(º), minutes ('), seconds
(''), radians (r), grads (g), and degrees–minutes–seconds
(¶DMS).
Angle Conversions
1. Change the default angle setting to what you want to
]. Ans appears on the
ANS
convert to.
2. Enter the value of the unit to convert.
3. Press $[
DMS
4. Choose the units you are converting from.
5. Press \ twice.
Rectangular and Polar Arithmetic
Rectangular and Polar Arithmetic
Rectangular and Polar Arithmetic
Rectangular and Polar Arithmetic
To find the polar attributes (r or θ ) of a rectangular system (x,y)
or vice versa, press $[H] and select an option. You can
and X
, or Y
and Y
.
1
2
1
2
find r or θ by specifying x and y, or x or y by specifying r and θ .
Trigonometry
Trigonometry
Trigonometry
Trigonometry
The HP 30S provides standard trigonometric functions—S,
Z, b—inverse trigonometric functions—$[
$[
–1
], $[
COS
TAN
, X
, Y
, and Y
;
together with S, Z, b, $[
1
2
1
2
$[
–1
].
TAN
Fractions
Fractions
Fractions
Fractions
n To enter a fraction, enter the numerator, press V, and
enter the denominator.
n To enter a mixed fraction, enter the integer part, press V,
enter the numerator, press V, and enter the denominator.
n To convert between a decimal and fractional result, or vice
versa, press $[_] and \.
n To convert a mixed fraction to an improper fraction, or vice
],
versa, press $[^ ] and \.
K
Probability
Probability
Probability
Probability
Pressing P displays the Probability menu, with the following
].) Pressing \
K
functions:
nPr
Calculates the number of possible permutations
of n items taken r at a time.
nCr
Calculates the number of possible combinations
] again. The constant
K
of n items taken r at a time.
!
Calculates the factorial of a specified positive
integer n, where n <= 69.
RANDM
Creates a random real number between 0 and 1.
RANDMI
Creates a random integer between (and possibly
including one of) two specified integers.
Statistics
Statistics
Statistics
Statistics
Press !1 to display the Statistics menu. The menu
] and p
options are 1VAR (for analyzing data in a single dataset),
RCL
2VAR (for analyzing paired data from two datasets) and
CLRDATA (for clearing all datasets).
To enter data for statistical analysis:
1. From the Statistics menu, choose 1VAR or 2VAR.
2. Press *.
3. Enter an xvalue and press o .
4. Enter the frequency of the xvalue (in 1VAR mode) or the
corresponding yvalue (in 2VAR mode) and press o .
2
+ 4B—and store that
5. To enter more data, repeat from step 3.
Data is retained until you overwrite it or clear it. You clear data
by selecting

CLR
DATA
To analyze data you have entered:
1. Press J. A range of statistical variables (see table below)
is displayed on the Statistical Results menu. The first
variable (n) is underlined and its value is on the result line.
2. Press p to scroll through the Statistical Results menu
(skipping any error messages that appear). The value of
each variable is displayed on the result line.
3. To use a value in a calculation, press \ when the value is
displayed. The variable is copied to the entry line.
4. In 2VAR mode, to predict a value for x (or y) given a value
for y (or x), select the x' (or y') variable, press \, enter
the given value, and press \ again.
Variable
n
Number of x values or x–y pairs entered.
x
or
y
Mean of the x values or y values.
Sx or Sy
Sample standard deviation.
¸x or ¸y
Population standard deviation.
∑
∑
or
Sum of all x values or y values.
x
y
∑
∑
x
2
2
Sum of all x
or
y
∑
xy
Sum of (x × y) for all x–y pairs.
a
Linear regression yintercept.
b
Linear regression slope.
r
Correlation coefficient.
x'
Predicted x value given a, b, and a y value.
y'
Predicted y value given a, b, and an x value.
To view or change data:
1. Press *.
2. Press o to scroll through the data you have entered.
] to display the
3. To change an entry, display it and enter the new data. The
ENG
new data you enter overwrites the old entry. Press o or
\ to save the change.
To exit the statistics application, press ! and choose
another option.
Linear System Solver
Linear System Solver
Linear System Solver
Linear System Solver
To solve a set of linear equations:
1. Press ! 2.
2. Enter the first equation (pressing $ [@] and $ []]
to enter x and y respectively).
The equation can be entered as ax+by=c or y = mx + b.
3. Press $ [,] to separate the two equations.
4. Enter the second equation (as ax + by = c or y = mx + b).
5. Press \.
The Solutions menu appears with the xvalue displayed on the
result line. Press p to see the corresponding yvalue. These
solutions are stored in the variables X and Y. You can use these
].
variables in further calculations.
You can also select a previous equation to reuse or edit. Press
U n until that equation is on the entry line.
Quadratic Equation Solver
Quadratic Equation Solver
To solve a quadratic equation with real solutions:
1. Press ! 3.
2. Enter the equation. Express it in the form ax
].
3. Press \.
The Solutions menu appears with the first root (X
displayed on the result line. Press p to see the second root (X
or Y
and Y
You can also select a previous equation to reuse or edit. Press
U n until that equation is on the entry line.
Physical Constants
Physical Constants
–1
],
SIN
You can use a number of common physical constants in your
–1
]—and hyperbolic functions—$ [
]
HYP
calculations. To insert a constant at the cursor position:
–1
], $[
–1
], and
SIN
COS
1. Press c to display the Physical Constants menu.
2. Press p until the constant you want is underlined (see
3. Press \.
c
g
G
V
N
e
m
m
m
R
h
k
Unit Conversion
Unit Conversion
1. Enter the value of the measurement you want to convert.
2. Press h.
3. Press o to scroll to the appropriate units menu. (There are
4. Press p until the units you are converting from are
5. Press p until the units you are converting to are
Error Messages
Error Messages
DIVIDE BY
DOM
OVERFLOW
STAT
SYN
ARG
SAVE
from the Statistics menu.
FREQ DOMAIN
MULTI SOLS
NO SOLUTION
NO REAL SOL
EQU LENGTH
Troubleshooting
Troubleshooting
If the calculator will not turn on, press #c together. If the
calculator still doesn't turn on, replace the batteries.
If the calculator is on but you get unexpected results, press
$ [
Meaning
Selftest Press $[
e. When the Test menu appears, press 1 and then press
\ three times. If error messages are displayed during the
test, the calculator needs a service. Press X\\ to
cancel the test.
Replacing batteries Push down on the battery
compartment cover and slide it off. Replace the two buttoncell
values or y
2
2
values.
batteries with new batteries. Use LR44 silver oxide batteries.
(Equivalent batteries are G13 and 357.) Do not use
rechargeable batteries.
If problems persist after you have replaced the batteries, the
calculator needs a service. For service information, refer to the
warranty statement enclosed with this product.
Faceplates
Faceplates
To install a faceplate, insert the top locating lugs into the holes
provided beneath the ! and O keys, and press down.
To remove a faceplate, press on the snap visible through the
opening on the bottom edge of the calculator.
Disclaimer
Disclaimer
This manual and any examples contained herein are provided
asis and are subject to change without notice. Except to the
extent prohibited by law, HewlettPackard Company makes no
express or implied warranty of any kind with regard to this guide
and specifically disclaims the implied warranties and conditions
of merchantability and fitness for a particular purpose and
HewlettPackard Company shall not be liable for any errors or
for incidental or consequential damage in connection with the
furnishing, performance or use of this manual and the examples
herein.
© Copyright 19992000 HewlettPackard Development Company, L.P.
Part Number F190090001 English
Printed in China Revision 1.1
Quadratic Equation Solver
Quadratic Equation Solver
2
+ bx + c=0.
You can solve a quadratic equation in x or in y. If you are
entering an equation in x, press $ [@] to enter x;
otherwise press $ []] to enter y. In both cases, press
v to enter the secondorder exponent.
or Y
)
1
1
). These roots are stored in the variables X
and X
2
1
2
. You can use these variables in further calculations.
2
Physical Constants
Physical Constants
table below).
speed of light
299792458m.s
–1
acceleration of gravity
9.80665m.s
–2
gravitational constant
6.673 × 10
–11
m
3
kg
–1
molar volume of ideal gas
22.413996 × 10
–3
m
3
m
Avogadro's number
6.02214199 × 10
23
mol
A
elementary charge
1.602176462 × 10
–19
electron mass
9.10938188 × 10
–31
kg
e
proton mass
1.67262158 × 10
–27
kg
p
neutron mass
1.67492716 × 10
–27
kg
n
molar gas constant
8.314472 J.mol
–1
K
–1
Plank's constant
6.62606876 × 10
–34
J.s
Boltzmann's constant
1.3806503 × 10
–23
J.K
Source: National Institute of Standards and Technology, http://physics.nist.gov
Unit Conversion
Unit Conversion
menus covering distances, area, mass, volume, capacity,
temperature, energy, and pressure.)
underlined; then press \.
underlined.
Error Messages
Error Messages
0 Attempt to divide by zero.
Input is outside allowable limits.
Result is outside the calculator's display limits.
Statistics key pressed but not in statistics mode.
Syntax error.
Inappropriate argument.
Cannot store variable or EQN in current mode.
Frequency is not 0 or a positive integer.
There is more than one solution.
There is no solution.
There is no real solution.
Input plus constant expression is greater than
80 characters.
Troubleshooting
Troubleshooting
]p\. If problems persist, run the selftest.
RESET
], and hold down $F and
RESET
Faceplates
Faceplates
Disclaimer
Disclaimer
2
, or Y
1
s
–2
mol
–1
–1
C
–1
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