HP 30S User Manual

Scientific calculator

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HP 30S

Scientific Calculator

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

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

GRAD

respectively.

Number of decimal places displayed is fixed.

FIX

Hyperbolic trig function will be calculated.

HYP

Linear equation solver is active.

SOLV

Quadratic equation solver is active.

SOLV

± °

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.

–

Result is negative, or the entry line is full.

A constant expression can be defined or used.

Result is displayed in scientific or engineering

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.

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

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

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

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

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

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

You can recall, and reuse, the variables A, B, C, D, EQN, X, Y,

, X

, Y

, and Y

, or the values in these variables.

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

You can create an expression using the variables A, B, C, D, X,

, X

, Y, Y

, and Y

—for example, 3A

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

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

n Clears the entry line.

n Clears an error message.

n Clears a menu.

]

Clears all memory variables

VAR

except EQN.

]

Clears the contents of EQN.

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

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 mantissa-and-exponent 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

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.

One-Off 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

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

find r or θ by specifying x and y, or x or y by specifying r and θ .

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

TAN

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 \.

Probability

Pressing P displays the Probability menu, with the following

].) Pressing \

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

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

Press !1 to display the Statistics menu. The menu

] and p

options are 1-VAR (for analyzing data in a single dataset),

RCL

2-VAR (for analyzing paired data from two datasets) and

CLR-DATA (for clearing all datasets).

To enter data for statistical analysis:

1. From the Statistics menu, choose 1-VAR or 2-VAR.

2. Press *.

3. Enter an x-value and press o .

4. Enter the frequency of the x-value (in 1-VAR mode) or the

corresponding y-value (in 2-VAR mode) and press o .

+ 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 2-VAR 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

Number of x values or x–y pairs entered.

Mean of the x values or y values.

Sx or Sy

Sample standard deviation.

¸x or ¸y

Population standard deviation.

∑

Sum of all x values or y values.

∑

Sum of all x

∑

Sum of (x × y) for all x–y pairs.

Linear regression y-intercept.

Linear regression slope.

Correlation coefficient.

Predicted x value given a, b, and a y value.

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

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 x-value displayed on the

result line. Press p to see the corresponding y-value. 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

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

–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 \.

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

DIVIDE BY

DOM

OVERFLOW

STAT

SYN

ARG

SAVE

from the Statistics menu.

FREQ DOMAIN

MULTI SOLS

NO SOLUTION

NO REAL SOL

EQU LENGTH

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

Self-test 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 button-cell

values or y

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

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

This manual and any examples contained herein are provided

as-is and are subject to change without notice. Except to the

extent prohibited by law, Hewlett-Packard 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

Hewlett-Packard 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.

Part Number F1900-90001 English

Printed in China Revision 1.1

Quadratic Equation Solver

+ 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 second-order exponent.

or Y

)

). These roots are stored in the variables X

and X

. You can use these variables in further calculations.

Physical Constants

table below).

speed of light

299792458m.s

–1

acceleration of gravity

9.80665m.s

–2

gravitational constant

6.673 × 10

–11

–1

molar volume of ideal gas

22.413996 × 10

–3

Avogadro's number

6.02214199 × 10

mol

elementary charge

1.602176462 × 10

–19

electron mass

9.10938188 × 10

–31

proton mass

1.67262158 × 10

–27

neutron mass

1.67492716 × 10

–27

molar gas constant

8.314472 J.mol

–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

menus covering distances, area, mass, volume, capacity,

temperature, energy, and pressure.)

underlined; then press \.

underlined.

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

]p\. If problems persist, run the self-test.

RESET

], and hold down $F and

RESET

Faceplates

Disclaimer

, or Y

–2

mol

–1

HP 30S User Manual

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