Casio fx-3950P, fx-3650P User Manual

fx-3650P
fx-3950P

User's Guide
Guía del usuario

E S

http://world.casio.com/edu_e/

CASIO ELECTRONICS CO., LTD.
Unit 6, 1000 North Circular Road,
London NW2 7JD, U.K.

ENGLISH

E-1

Safety Precautions

Be sure to read the following safety precautions before using this calculator.
Keep this manual handy for later reference.

Caution

This symbol is used to indicate information that can result in personal
injury or material damage if ignored.

Batteries

•After removing the battery from the calculator, put it in a safe place
where it will not get into the hands of small children and accidentally
swallowed.

•Keep batteries out of the reach of small children. If accidentally
swallowed, consult with a physician immediately.

•Never charge batteries, try to take batteries apart, or allow batteries to
become shorted. Never expose batteries to direct heat or dispose of
them by incineration.

•Misuse of batteries can cause them to leak and damage nearby items,
and can create the risk of fire and personal injury.

•Always make sure that the battery’s positive k and negative l ends

are facing correctly when you load it into the calculator.

•Remove the battery if you do not plan to use the calculator for a long

time (fx-3950P).

•Use only the type of battery specified for this calculator in this manual.

Disposing of the Calculator

•Never dispose of the calculator by burning it. Doing so can cause
certain components to suddenly burst, creating the risk of fire and
personal injury.

•The displays and illustrations (such as key markings) shown in this User’s
Guide are for illustrative purposes only, and may differ somewhat from the
actual items they represent.

•The contents of this manual are subject to change without notice.

E-2

•In no event shall CASIO Computer Co., Ltd. be liable to anyone for
special, collateral, incidental, or consequential damages in connection
with or arising out of the purchase or use of these materials. Moreover,
CASIO Computer Co., Ltd. shall not be liable for any claim of any kind
whatsoever against the use of these materials by any other party.

Handling Precautions

•Be sure to press the 5 key before using the calculator for the first
time.

•Even if the calculator is operating normally, replace the battery at
least once every three years.

A dead battery can leak, causing damage to and malfunction of the
calculator. Never leave a dead battery in the calculator.

• The battery that comes with this unit discharges slightly during
shipment and storage. Because of this, it may require replacement
sooner than the normal expected battery life.

• Low battery power can cause memory contents to become corrupted
or lost completely. Always keep written records of all important data.

•Avoid use and storage in areas subjected to temperature extremes.

Very low temperatures can cause slow display response, total failure of
the display, and shortening of battery life. Also avoid leaving the calculator
in direct sunlight, near a window, near a heater or anywhere else it might
be exposed to very high temperatures. Heat can cause discoloration or
deformation of the calculator’s case, and damage to internal circuitry.

•Avoid use and storage in areas subjected to large amounts of
humidity and dust.

Take care never to leave the calculator where it might be splashed by
water or exposed to large amounts of humidity or dust. Such conditions
can damage internal circuitry.

•Never drop the calculator or otherwise subject it to strong impact.

E-3

•Never twist or bend the calculator.

Avoid carrying the calculator in the pocket of your trousers or other tight­fitting clothing where it might be subjected to twisting or bending.

•Never try to take the calculator apart.

•Never press the keys of the calculator with a ballpoint pen or other
pointed object.

•Use a soft, dry cloth to clean the exterior of the calculator.

If the calculator becomes very dirty, wipe it off with a cloth moistened in a
weak solution of water and a mild neutral household detergent. Wring out
all excess moisture before wiping the calculator. Never use thinner,
benzene or other volatile agents to clean the calculator. Doing so can
remove printed markings and can damage the case.

E-4

Contents

Safety Precautions ....................................................... 2

Handling Precautions .................................................. 3

Before getting started... ............................................... 7

k Key Markings ....................................................................................... 7

k Modes .................................................................................................. 8

k Input Capacity ...................................................................................... 9

k Making Corrections During Input ......................................................... 9

k Replay Function ................................................................................... 9

k Error Locator ...................................................................................... 10

k Exponential Display Formats ............................................................. 10

k Initializing the Calculator (Reset Operation) ...................................... 11

Basic Calculations ..................................................... 11

k Arithmetic Calculations ...................................................................... 11

k Fraction Operations ........................................................................... 12

k Percentage Calculations .................................................................... 13

k Degrees, Minutes, Seconds Calculations .......................................... 14

k FIX, SCI, RND ................................................................................... 14

Memory Calculations ................................................. 15

k Answer Memory ................................................................................. 16

k Consecutive Calculations .................................................................. 16

k Independent Memory ......................................................................... 16

k Variables ............................................................................................ 17

Complex Number Calculations ................................. 17

k Absolute Value and Argument Calculation......................................... 18

k Rectangular Form ↔ Polar Form Display .......................................... 18

k Conjugate of a Complex Number ...................................................... 19

Base-n Calculations ................................................... 19

Scientific Function Calculations............................... 21

k Trigonometric/Inverse Trigonometric Functions ................................. 21

k Hyperbolic/Inverse Hyperbolic Functions .......................................... 22

k Common and Natural Logarithms/Antilogarithms .............................. 22

E-5

k Square Roots, Cube Roots, Roots, Squares, Cubes, Reciprocals,

Factorials, Random Numbers, π, and Permutation/Combination ....... 23

k Angle Unit Conversion ....................................................................... 24

k Coordinate Conversion (Pol (x, y), Rec (r, θ )) .................................. 24

k Engineering Notation Calculations ..................................................... 25

Statistical Calculations .............................................. 25

Standard Deviation ................................................................................ 25

Regression Calculations ........................................................................ 28

Differential Calculations ............................................ 34

Integration Calculations ............................................ 34

Programming a Calculation ...................................... 35

Storing a Program .................................................................................. 36

k Editing a Program .............................................................................. 38

Executing a Program ............................................................................. 38

Deleting a Program ................................................................................ 40

Useful Program Commands ................................................................... 40

k Program Command Menus ................................................................ 40

k Unconditional Jump ........................................................................... 41

k Conditional Jump Using a Relational Operator .................................. 42

k Other Program Statements ................................................................ 42

Statistical Data Memory and Program Memory ....... 44

k Statistical Data ................................................................................... 44

k Programs ........................................................................................... 45

Technical Information ................................................ 46

k When you have a problem...... ........................................................... 46

k Error Messages ................................................................................. 46

k Order of Operations ........................................................................... 47

k Stacks ................................................................................................ 49

k Input Ranges ..................................................................................... 50

Power Supply .............................................................. 52

Specifications ............................................................. 54

Practical Examples .................................................. A-1

k Program Library ............................................................................... A-1

E-6

Before getting started...

kKey Markings

Many of the calculator’s keys are used to perform more than one function.
The functions marked on the keyboard are color coded to help you find the
one you need quickly and easily.

M–

M

CL

DT

Function Color Key Operation

1 M+ |
2 M– Orange A |

3 MRed p |

4 DT Blue In the SD and REG Modes:

Press A and then the key to perform
the marked function.

Press p and then the key to perform
the marked function.

A

|

5 CL Orange In the SD and REG Modes:

In blue
brackets

6 ∠ Orange In the CMPLX Mode:

In purple
brackets

7 ARed p D

In green
brackets

A |

Press A and then the key to perform
the marked function.

A D

Press A and then the key to perform
the marked function.

Press p and then the key to
specify variable A.

D

In the BASE Mode, press the key
without pressing p.

E-7

kModes

Before starting a calculation, you must first enter the correct mode as
indicated in the table below.

To p er form this type of Perform this To enter

operation: key operation: this mode:

Basic arithmetic calculations F 1 COMP
Complex number calculations F 2 CMPLX
Standard deviation F F 1 SD
Regression calculations F F 2 REG
Base-n calculations F F 3 BASE
Program editing F F F 1 PRGM
Program execution F F F 2 RUN
Program deletion F F F 3 PCL

• Pressing the F key more than three times displays additional setup
screens. Setup screens are described where they are actually used to
change the calculator setup.

• In this manual, the name of the mode you need to enter in order to
perform the calculations being described is indicated in the main title of
each section.

Example:

Complex Number Calculations

Note!

• To return the calculation mode and setup to the initial defaults shown
below, press A B 2(Mode) <.

Calculation Mode: COMP
Angle Unit: Deg
Exponential Display Format: Norm 1
Complex Number Display Format: a+bi
Fraction Display Format: ab/c

•Mode indicators appear in the upper part of the display, except for the
BASE indicators, which appear in the exponent part of the display.

CMPLX

E-8

•You cannot make changes to the angle unit or other display format (Disp)
settings while the calculator is in the BASE Mode.

•The COMP, CMPLX, SD, and REG modes can be used in combination
with the angle unit settings.

•Be sure to check the current calculation mode (SD, REG, COMP, CMPLX)
and angle unit setting (Deg, Rad, Gra) before beginning a calculation.

kInput Capacity

•The memory area used for calculation input can hold 79 “steps.” One step
is taken up each time you press a number key or arithmetic operator key
( +, ,, -, \ ). A A or p key operation does not take up a step, so
inputting A D, for example, takes up only one step.

•You can input up to 79 steps for a single calculation. Whenever you input
the 73rd step of any calculation, the cursor changes from “_” to “k” to let
you know memory is running low. If you need to input more than 79 steps,
you should divide your calculation into two or more parts.

•Pressing the g key recalls the last result obtained, which you can use in
a subsequent calculation. See “Answer Memory” for more information
about using the g key.

kMaking Corrections During Input

•Use e and r to move the cursor to the location you want.

•Press [ to delete the number or function at the current cursor position.

•Press A K to change to an insert cursor t. Inputting something while
the insert cursor is on the display inserts the input at the insert cursor
position.

•Pressing A K, or < returns to the normal cursor from the insert cursor.

kReplay Function

•Every time you perform a calculation, the replay function stores the
calculation formula and its result in replay memory. Pressing the [ key
displays the formula and result of the calculation you last performed.
Pressing [ again back steps sequentially (new-to-old) through past
calculations.

E-9

•Pressing the e or r key while a replay memory calculation is on the
display changes to the editing screen.

•Pressing the e or r key immediately after you finish a calculation
displays the editing screen for that calculation.

•Pressing t does not clear replay memory, so you can recall the last
calculation even after you press t.

•Replay memory capacity is 128 bytes for storage of both expressions and
results.

•Replay memory is cleared by any of the following actions.
When you press the 5 key
When you initialize modes and settings by pressing A B 2 (or 3) <
When you change from one calculation mode to another
When you turn off the calculator.

kError Locator

•Pressing r or e after an error occurs displays the calculation with the
cursor positioned at the location where the error occurred.

kExponential Display Formats

This calculator can display up to 10 digits. Larger values are automatically
displayed using exponential notation. In the case of decimal values, you can
select between two formats that determine at what point exponential
notation is used.

•To change the exponential display format, press the F key a number of
times until you reach the exponential display format setup screen shown
below.

Fix Sci Nor

1

2

m

3

•Press 3. On the format selection screen that appears, press 1 to select
Norm 1 or 2 for Norm 2.

E-10

u Norm 1

With Norm 1, exponential notation is automatically used for integer values
with more than 10 digits and decimal values with more than two decimal
places.

u Norm 2

With Norm 2, exponential notation is automatically used for integer values
with more than 10 digits and decimal values with more than nine decimal
places.

•All of the examples in this manual show calculation results using the Norm
1 format.

kInitializing the Calculator (Reset Operation)

•Performing the key operation below initializes the calculation mode and
setup, and clears replay memory, variables, and all programs.

A B 3(All) <

Basic Calculations

COMP

kArithmetic Calculations

Use the F key to enter the COMP Mode when you want to perform
basic calculations.

COMP ............................................................................................ F 1

• Example 1: 3(510–9) 

• Example 2: 5(97) 

•You can skip all T operations before <.

80

1.510

–8

E-11

3 - 5 e D 9 <

5 - R 9 + 7 T <

kFraction Operations

u Fraction Calculations

•Values are displayed in decimal format automatically whenever the total
number of digits of a fractional value (integer + numerator + denominator
+ separator marks) exceeds 10.

13

1

• Example 1:   2 C 3 + 1 C 5 <

• Example 2: 3  1 

• Example 3:  2 C 4 <

• Example 4: 1.6 

•Results of calculations that mix fraction and decimal values are always
decimal.

u Decimal ↔ Fraction Conversion

•Use the operation shown below to convert calculation results between
decimal values and fraction values.

•Note that conversion can take as long as two seconds to perform.

• Example 1: 2.75  2 (Decimal → Fraction)

• Example 2: ↔ 0.5 (Fraction ↔ Decimal)

2

15

5

3

2

1
4

2

1

4

2

1
2

11

4

3

12

3 C 1 C 4 +
1 C 2 C 3 <

2.1

3
4

11

 A B

4

1
2

2.75 <

C

1 C 2 <

C

C

13 15.

4 11 12.

1 C 2 + 1.6 <

2.75

2 3 4.

11 4.

1 2.

0.5

1 2.

00

00

00

00

00

00

00

E-12

u Mixed Fraction ↔ Improper Fraction Conversion

5

• Example: 1 ↔ 1 C 2 C 3 <

•You can use the display setup (Disp) screen to specify the display format
when a fraction calculation result is greater than one.

•To change the fraction display format, press the q key a number of times
until you reach the setup screen shown below.

2

3

3

A B

A B

Disp

1 2 3.

5 3.

1 2 3.

1

•Display the selection screen.

1 (or 1 r in the CMPLX Mode)

•Press the number key (
to use.

b

1(a

/c): Mixed fraction

2(d/c): Improper fraction

•An error occurs if you try to input a mixed fraction while the d/c display
format is selected.

kPercentage Calculations

• Example 1: To calculate 12% of 1500

• Example 2: To calculate what percentage of 880 is 660

• Example 3: To add 15% onto 2500

• Example 4: To discount 3500 by 25%

• Example 5: To discount the sum of 168, 98, and 734 by 20%

1 or 2) that corresponds to the setting you want

(180)

1500 - 12 A v

(75%)

660 \ 880 A v

(2875)

(2625)

2500 - 15 A v +

3500 - 25 A v ,

(800)

168 + 98 + 734 < g A j 1

p

1 - 20 A v ,

*

E-13

00

00

00

*As shown here, if you want to use the current Answer Memory value in a

mark up or discount calculation, you need to assign the Answer Memory
value into a variable and then use the variable in the mark up/
discount calculation. This is because the calculation performed when v is
pressed stores a result to Answer Memory before the , key is pressed.

• Example 6: If 300 grams are added to a test sample originally weighing
500 grams, what is the percentage increase in weight?

300 + 500 A v

• Example 7: What is the percentage change when a value is increased
from 40 to 46? How about to 48?

46 , 40 A v

e

e e e e e 8 <

(160%)

(15%, 20%)

kDegrees, Minutes, Seconds Calculations

•You can perform sexagesimal calculations using degrees (hours), minutes,
and seconds, and convert between sexagesimal and decimal values.

• Example 1: To convert the decimal value 2.258 to a sexagesimal value
and then back to a decimal value

2.258 <

A O

I

• Example 2: To p erform the following calculation: 12°34’56”  65°43’21”

12 I 34 I 56 I

+

65 I 43 I 21 I <

2.258

2°15°28.8

2.258

78°18°17

kFIX, SCI, RND

•To change the settings for the number of decimal places, the number of
significant digits, or the exponential display format, press the F key a
number of times until you reach the setup screen shown below.

Fix Sci Nor

1

2

E-14

m

3

•Press the number key (

1, 2, or 3) that corresponds to the setup item

you want to change.

1

(Fix): Number of decimal places

2

(Sci): Number of significant digits

3

(Norm): Exponential display format

• Example 1: 200  7  14  200 \ 7 - 14 <

.....

(Specifies three decimal places.) F

(Internal calculation continues using 12 digits.) 200 \ 7 <

1

(Fix)

3

- 14 <

400.

FIX

400.000

28.571

400.000

The following performs the same calculation using the specified number of
decimal places.

200 \ 7 <

(Internal rounding) A Q

- 14 <

•Press F

.....

3(Norm) 1 to clear the Fix specification.

28.571

28.571

399.994

• Example 2: 1  3, displaying result with two significant digits (Sci 2)

3.3

SCI

×10

•Press F

.....

2

(Sci)

2 1 \ 3 <

F

.....

3(Norm) 1 to clear the Sci specification.

00

00

00

00

00

00

00

01

–

Memory Calculations

COMP

Use the F key to enter the COMP Mode when you want to perform a
calculation using memory.

COMP ............................................................................................ F 1

E-15

kAnswer Memory

•Whenever you press < after inputting values or an expression, the
calculated result automatically updates Answer Memory contents by
storing the result.

•In addition to <, Answer Memory contents are also updated with result
whenever you press A v, |, A {, or A j followed by a letter (A
through D, or M, X, or Y).

•You can recall Answer Memory contents by pressing g.

•Answer Memory can store up to 12 digits for the mantissa and two digits
for the exponent.

•Answer Memory contents are not updated if the operation performed by
any of the above key operations results in an error.

kConsecutive Calculations

•You can use the calculation result that is currently on the display (and also
stored in Answer Memory) as the first value of your next calculation. Note
that pressing an operator key while a result is displayed causes the
displayed value to change to Ans, indicating it is the value that is currently
stored in Answer Memory.

•The result of a calculation can also be used with a subsequent Type A
function (x2, x3, x–1, x!, DRG'), +, –, ^(xy), x, , , nPr and nCr.

kIndependent Memory

•Values can be input directly into memory, added to memory, or subtracted
from memory. Independent memory is convenient for calculating
cumulative totals.

•Independent memory uses the same memory area as variable M.

•To clear independent memory (M), input 0 A j 3.

• Example: 23  9 

53  6 

) 45  2 

(Total)

32

47

90

–11

23 + 9 A j 3
53 , 6 |

45 - 2 A{

03

E-16

kVariables

•There are seven variables (A through D, M, X and Y), which can be used
to store data, constants, results, and other values.

•Use the following operation to delete data assigned to a particular
variable: 0 A j 1. This operation deletes the data assigned to
variable A.

•Perform the following key operation when you want to clear the values
assigned to all of the variables.

A B 1(Mcl) <

• Example: 193.2  23 

193.2  28 

8.4

6.9

193.2 A j 1 \ 23 <

p 1 \ 28 <

Complex Number Calculations

Use the F key to enter the CMPLX Mode when you want to perform
calculations that include complex numbers.

CMPLX .......................................................................................... F 2

•The current angle unit setting (Deg, Rad, Gra) affects CMPLX Mode
calculations.

•Note that you can use variables A, B, C, and M only in the CMPLX Mode.
You cannot use variables D, X, and Y.

•The indicator “R↔I” in the upper right corner of a calculation result display
indicates a complex number result. Press A r to toggle the display
between the real part and imaginary part of the result.

•You can use the replay function in the CMPLX Mode. Since complex
numbers are stored in replay memory in the CMPLX Mode, however, more
memory than normal is used up.

• Example: (23i )(45 i)  6

(Real part 6) 2 + 3 i + 4 + 5 i <

(Imaginary part 8i ) A r

8

i

CMPLX

E-17