Hp 30s User Manual

HP 30S

HP 30SHP 30S

Scientific Calculator

Scientific CalculatorScientific Calculator

Basic operation

Basic operationBasic operation

On and Off O turns the calculator on; $ [OFF] turns it 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 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 $[ deactivate insert mode, press an arrow key or $[

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

MODE Mode selection is active.

STAT Statistics mode is active.

ENG Numbers are displayed in engineering notation.

SCI Numbers are displayed in scientific notation.

DEG, RAD,

GRAD

FIX Number of decimal places displayed is fixed.

HYP Hyperbolic trig function will be calculated.

SOLV Linear equation solver is active.

SOLV Quadratic equation solver is active.

± ° ²³

M A number is stored in running memory.

–

K A constant expression can be defined or used.

×10

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 $[ 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 ( n 2. Linear equation solver ( n 3. Quadratic equation solver (

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 OperationsOrder of Operations

1st Expressions inside parentheses.

2nd Conversion of coordinate notation.

3rd Functions that are entered before their argument

4th Functions that are entered after their argument (such

5th Roots ( ) and exponentiation (^).

6th Fractions.

7th

8th +/–

9th Implied multiplication preceding functions that are

10th Combinations (nCr) and permutations (nPr).

11th Multiplication, other implied multiplication, and

12th Addition and subtraction.

13th All other conversions.

2nd set of function keys is active (see below).

Angle setting is degrees, radians, or gradians respectively.

There are digits to the left or right of the display.

There are earlier or later results that can be displayed.

Result is negative, or the entry line is full.

Result is displayed in scientific or engineering notation. Exponent is displayed above indicator.

Thousands separator (for numbers >= 1000).

(such as LN, cos).

as x

π, random numbers, and physical constants.

entered before their argument.

division.

± indicator is displayed—when you

INS]. To

INS] again.

SCI/ENG] displays the menu for

STAT)

L SOLV)

Q SOLV).

System Memory

System MemorySystem 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 MemoryUser 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.

You can also store real numbers in X, Y, X 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

Recalling and Reusing VariablesRecalling and Reusing Variables

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

, X2, Y1, and Y2, 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

ExpressionsExpressions

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

, X2, Y, Y1, and Y2—for example, 3A2 + 4B—and store that

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 SettingsClearing Data and Settings

U n Clears the entry line.

$[CL-VAR] Clears all memory variables

CL-EQN] Clears the contents of EQN.

!1/\ Clears statistics data.

RESET] p\ Returns calculator to its default

Notation

NotationNotation

Decimal Places Press $[ 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 $[ evaluates to a number), and press \.

Number Display Press $[ 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

Angle SettingsAngle 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.

RND], enter the number (or expression that

ANS]. Ans appears on the

and X2, or Y1 and Y2.

, X2, Y1, and Y2;

K],

K].) Pressing \

K] again. The constant

RCL] and p

n Clears an error message. n Clears a menu.

except EQN.

settings. Clears variables, EQN, pending operations, running memory, constant expression, statistical data, and Ans.

FIX] to display the Decimal

SCI/ENG] to display the

One-Off Change To override the default angle setting:

1. Enter the value.

2. Press $[

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 (¶DM S) .

Angle Conversions

1. Change the default angle setting to what you want to convert to.

2. Enter the value of the unit to convert.

3. Press $[

4. Choose the units you are converting from.

5. Press \ twice.

Rectangular and Polar Arithmetic

Rectangular and Polar ArithmeticRectangular and Polar Arithmetic

To find the polar attributes (r or or vice versa, press $[H] and select an option. You can find r or

Trigonometry

TrigonometryTrigonometry

The HP 30S provides standard trigonometric functions—S, Z, b—inverse trigonometric functions—$[ $[ together with S, Z, b, $[ $[

Fractions

FractionsFractions

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

ProbabilityProbability

Pressing P displays the Probability menu, with the following functions:

nPr Calculates the number of possible permutations

nCr Calculates the number of possible combinations

! Calculates the factorial of a specified positive

RANDM Creates a random real number between 0 and 1.

RANDMI Creates a random integer between (and possibly

Statistics

StatisticsStatistics

Press !1 to display the Statistics menu. The menu options are 1-VAR (for analyzing data in a single dataset),

2-VAR (for analyzing paired data from two datasets) and CLR-DATA (for clearing all datasets).

To e n ter da ta 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.

5. To enter more data, repeat from step 3.

Data is retained until you overwrite it or clear it. You clear data by selecting

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.

Varia ble Me an ing

n Number of x values or x–y pairs entered.

or Mean of the x values or y values.

x y

Sx or Sy Sample standard deviation. ¸x or ¸y Population standard deviation.

x∑y

∑

a Linear regression y-intercept.

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.

3. To change an entry, display it and enter the new data. The 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 SolverLinear 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 \.

DMS].

θ) of a rectangular system (x, y)

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

–1

COS

], $[TAN–1]—and hyperbolic functions—$ [HYP]

–1

TAN

of n items taken r at a time.

integer n, where n <= 69.

including one of) two specified integers.

CLR-DATA from the Statistics menu.

or Sum of all x values or y values.

∑

or Sum of all x2 values or y2 values.

∑

Sum of (x × y) for all x–y pairs.

SIN

–1

SIN

], $[COS–1], and

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 Un until that equation is on the entry line.

Quadratic Equation Solver

Quadratic Equation SolverQuadratic Equation Solver

To solve a quadratic equation with real solutions:

1. Press ! 3.

2. Enter the equation. Express it in the form ax 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.

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 Y2). These roots are stored in the variables X1 and X2, or Y1

. You can use these variables in further calculations.

and Y

You can also select a previous equation to reuse or edit. Press Un until that equation is on the entry line.

Physical Constants

Physical ConstantsPhysical Constants

You can use a number of common physical constants in your calculations. To insert a constant at the cursor position:

1. Press c to display the Physical Constants menu.

2. Press p until the constant you want is underlined (see table below).

3. Press \.

c speed of light 299792458m.s

g acceleration of gravity 9.80665m.s

G gravitational constant 6.673 × 10

Vmmolar volume of ideal gas 22.413996 × 10–3m3mol

NAAvogadro’s number 6.02214199 × 1023mol

e elementary charge 1.602176462 × 10

electron mass 9.10938188 × 10

mpproton mass 1.67262158 × 10

neutron mass 1.67492716 × 10

R molar gas constant 8.314472 J.mol–1K

h Plank’s constant 6.62606876 × 10

k Boltzmann’s constant 1.3806503 × 10

Source: National Institute of Standards and Technology, http://physics.nist.gov

Unit Conversion

Unit ConversionUnit 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 menus covering distances, area, mass, volume, capacity, temperature, energy, and pressure.)

4. Press p until the units you are converting from are underlined; then press \.

5. Press p until the units you are converting to are underlined.

Error Messages

Error MessagesError Messages

DIVIDE BY 0 Attempt to divide by zero.

DOM Input is outside allowable limits.

OVERFLOW Result is outside the calculator’s display limits.

STAT Statistics key pressed but not in statistics mode.

SYN Syntax error.

ARG Inappropriate argument.

SAVE Cannot store variable or EQN in current mode.

FREQ DOMAIN Frequency is not 0 or a positive integer.

MULTI SOLS There is more than one solution.

NO SOLUTION There is no solution.

NO REAL SOL There is no real solution.

EQU LENGTH Input plus constant expression is greater than

Troubleshooting

TroubleshootingTroubleshooting

If the calculator will not turn on, press #ctogether. If the calculator still doesn’t turn on, replace the batteries.

If the calculator is on but you get unexpected results, press

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

$[ 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 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

FaceplatesFaceplates

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

DisclaimerDisclaimer

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

80 characters.

RESET], and hold down $F and

+bx +c=0.

or Y1)

–1

–2

–11m3kg–1s–2

–19

–31

–27

–1

–34

J.s

–23

J.K

–1