Hp 33s scientific calculator
Printing History
Contents
Clearing the X-Register
RPN The Automatic Memory Stack
Storing Data into Variables
How You Can Use Equations Summary of Equation Operations
Fractions in Programs
Accuracy of Integration
Complex Stack Complex Operations Contents
Solving an Equation
For More Information
Programming
12-7
12-4
Data Input and Output 12-4 Entering a Program 12-5
12-6
Branching GTO 13-4
13-1
13-2
13-3
15-12
Managing Calculator Memory Contents
Part 3. Appendixes and Reference
Vector Operations 15-1
About ALG
Resetting the Calculator Clearing Memory
Round-Off Error Contents
Disabling Operations Neutral Operations
Conditions That Prolong Calculation Time
Underflow
How the Integral Is Evaluated
Page
Basic Operation
Part
Page
Turning the Calculator On and Off
Adjusting Display Contrast
Getting Started
Important Preliminaries
2Getting Started
Highlights of the Keyboard and Display
Shifted Keys
Cursor Keys
Alpha Keys
4Getting Started
Silver Paint Keys
Backspacing and Clearing
¾ when number entry is complete
Keyboard-entry mode
Are described in Using Menus on page 1-7. If
Equation-entry mode
6Getting Started
Numeric Functions
Using Menus
HP 33s Menus Chapter Name
Programming Instructions
To use a menu function
Other functions
8Getting Started
Description
KeysDisplay
Exiting Menus
RPN and ALG Keys
RPN mode ALG mode
To select RPN mode
To select ALG mode
First Line Second Line
Display and Annunciators
RAD or
HP 33s Annunciators Meaning Chapter
12Getting Started
2 3
§,¨
Keys Display Description
Keying in Numbers
Making Numbers Negative
Exponents of Ten
Other Exponent Functions
Understanding Digit Entry
Keying in Exponents of Ten
16Getting Started
Doing Arithmetic
Range of Numbers and Overflow
Keys Display
Key in the number. You dont need to press
One-Number Functions
Two-Number Functions
, \, , Qor T
D, , \, ,Q
Controlling the Display Format
Periods and Commas in Numbers
3 z
Scientific Format
Number of Decimal Places
Fixed-Decimal Format %
ALL Format
SHOWing Full 12-Digit Precision
20Getting Started
Engineering Format
KeysDisplayDescription
Fractions
Entering Fractions
22Getting Started
DisplayDescription
Messages
Displaying Fractions
24Getting Started
Calculator Memory
Checking Available Memory
Clearing All of Memory
RPN The Automatic Memory Stack
RPN The Automatic Memory Stack
What the Stack Is
2RPN The Automatic Memory Stack
X and Y-Registers are in the Display
Clearing the X-Register
Rµ Roll Up
Reviewing the Stack
¶ Roll Down
4RPN The Automatic Memory Stack
Arithmetic How the Stack Does It
Exchanging the X- and Y-Registers in the Stack
Lost
How Enter Works
Filling the stack with a constant
Using a Number Twice in a Row
How Clear x Works
6RPN The Automatic Memory Stack
Last X Register
Wrong One-Number Function
Correcting Mistakes with Last
, \, , Qor T
8RPN The Automatic Memory Stack
96.704 +
Reusing Numbers with Last
Mistake
10RPN The Automatic Memory Stack
Work from the Parentheses Out
Chain Calculations in RPN mode
12RPN The Automatic Memory Stack
16.3805x5 = 181.0000
Solution
Exercises
Order of Calculation
14
More Exercises
14RPN The Automatic Memory Stack
⋅ 0.8 ⎟ 12.5 − 0.73 =
Page
Storing Data into Variables
Storing Data into Variables
Example Storing Numbers
Storing and Recalling Numbers
2Storing Data into Variables
To recall a copy of a number from a variable to the display
To review the values at any or all non-zero variables
Viewing a Variable without Recalling It
Reviewing Variables in the VAR Catalog
4Storing Data into Variables
Clearing Variables
Arithmetic with Stored Variables
Storage Arithmetic
Result 3 That is, x
Recall Arithmetic
6Storing Data into Variables
Exchanging x with Any Variable
LzE
Variable
Page
Real-Number Functions
Real-Number Functions
Exponential and Logarithmic Functions
2Real-Number Functions
Power Functions
Quotient and Remainder of Division
To Calculate Press
To Calculate Press Result
Trigonometry
Entering π
4Real-Number Functions
Setting the Angular Mode
Trigonometric Functions
Option Description Annunciator
Programming Note
NzR
x Q
Hyperbolic Functions
Percentage Functions
6Real-Number Functions
16.12 15.76 T .
8Real-Number Functions
Physics Constants
Const Menu Items Description Value
To insert a constant
Conversion Functions
Items Description Value
To convert between rectangular and polar coordinates
Coordinate Conversions
10Real-Number Functions
Example Conversion with Vectors
Example Polar to Rectangular Conversion
Example Converting Time Formats
Time Conversions
12Real-Number Functions
To convert between decimal fractions and minutes-seconds
To convert an angle between degrees and radians
Angle Conversions
Unit Conversions
To Convert Press Displayed Results
Probability
Probability Functions
Factorial
Gamma
Display
Keys
Example Combinations of People
16Real-Number Functions
Parts of Numbers
Names of Functions
Page
Entering Fractions
Fractions
2Fractions
Fractions in the Display
Display Rules
Entered Value Internal Value Displayed Fraction
Accuracy Indicators
4Fractions
Changing the Fraction Display
Longer Fractions
Choosing a Fraction Format
Setting the Maximum Denominator
6Fractions
Examples of Fraction Displays
To Get This Fraction Format Change These Flags
Fraction How 2.77 Is Displayed Format
Denominator Fixed
Rounding Fractions
Fraction Number Entered and Fraction Displayed Format ¼
8Fractions
Fractions in Equations
Fractions in Programs
Page
Example Calculating with an Equation
Entering and Evaluating Equations
How You Can Use Equations
Entering and Evaluating Equations
2Entering and Evaluating Equations
ZNz
ZLL
Key Operation
Enters and leaves Equation mode
Summary of Equation Operations
To enter an equation
Entering Equations into the Equation List
Variables in Equations
4Entering and Evaluating Equations
Functions in Equations
Numbers in Equations
ZLC z
Displaying and Selecting Equations
Parentheses in Equations
LR d
To select an equation
Editing and Clearing Equations
To view a long equation
8Entering and Evaluating Equations
Evaluating Equations
Types of Equations
To evaluate an equation
Type of Equation Result for
10Entering and Evaluating Equations
Fx ¼
Example Evaluating an Equation with Enter
Using Enter for Evaluation
Example Evaluating an Equation with XEQ
Using XEQ for Evaluation
Responding to Equation Prompts
12Entering and Evaluating Equations
To display digits hidden by the prompt, press
Syntax of Equations
Operator Precedence
5 g
14Entering and Evaluating Equations
Order Operation Example
Equations Meaning
Σxy
Equation Functions
Perimeter = a + b + h
Operation Equation function
16Entering and Evaluating Equations
Example Perimeter of a Trapezoid
Area =
HLA .25 zLN zLD 2 zR NqLN `qONqLN `
Cos π / n
Example Area of a Polygon
Example Checksum and Length of an Equation
Syntax Errors
Verifying Equations
18Entering and Evaluating Equations
Markup ⋅ Cost = Price
Solving Equations
Solving an Equation
Solving Equations
Example Solving the Equation of Linear Motion
LD dLV
ZLT
2Solving Equations
Value
Example Solving the Ideal Gas Law Equation
HL P z
ZL T
4Solving Equations
Understanding and Controlling Solve
LV q
6Solving Equations
Verifying the Result
Choosing Initial Guesses for Solve
Interrupting a Solve Calculation
8Solving Equations
Example Using Guesses to Find a Root
ZL H
40
H
10Solving Equations
For More Information
Page
Integrating Equations
Integrating Equations
2Integrating Equations
Integrating Equations ≥ FN
J0 x = π1 ≥0π cos x sin t dt
Value
≥ 0π f t
= ≥ t
4Integrating Equations
Example Sine Integral
Accuracy of Integration
Example Specifying Accuracy
Specifying Accuracy
Interpreting Accuracy
6Integrating Equations
Example Changing the Accuracy
Its uncertainty indicates
8Integrating Equations
To enter a complex number
Operations with Complex Numbers
Complex Stack
+ iy
To do an operation with one complex number
Complex Operations
2Operations with Complex Numbers
To do an arithmetic operation with two complex numbers
Functions for One Complex Number, z To Calculate Press
4Operations with Complex Numbers
2 4
2 5
Using Complex Numbers in Polar Notation
2 3
2
Example Vector Addition
6Operations with Complex Numbers
Operations with Complex Numbers
Page
Base Conversions and Arithmetic
Base Conversions and Arithmetic
Base Menu
Menu label Description
10-2Base Conversions and Arithmetic
Arithmetic in Bases 2, 8,
Keys Display
10-4Base Conversions and Arithmetic
Representation of Numbers
Negative Numbers
7FFFFFFFF
Range of Numbers
10-6Base Conversions and Arithmetic
Windows for Long Binary Numbers
Statistical Operations
Statistical Operations
Entering Statistical Data
11-2Statistical Operations
Correcting Errors in Data Entry
Entering One-Variable Data
Entering Two-Variable Data
20
Initial x, y Corrected x, y
400
11-4Statistical Operations
Statistical Calculations
Mean
Statistics Menus Key Description
Number of Parts y
Example Weighted Mean Two Variables
·
Price per Part
11-6Statistical Operations
Sample Standard Deviation
Population Standard Deviation
Uº
Linear Regression Menu
Linear Regression
σº
Keys DisplayDescription
Grain Yield
11-8Statistical Operations
Example Curve Fitting
Nitrogen Applied
70, y
Limitations on Precision of Data
Normalizing Close, Large Numbers
Summation Values and the Statistics Registers
Summation Statistics
11-10Statistical Operations
# ´º¸/ ´¸/ ´º/ ´¸/ ´º/
Access to the Statistics Registers
Statistics Registers in Calculator Memory
Example Viewing the Statistics Registers
11-12Statistical Operations
Programming
Page
Example a Simple Program
RPN mode 5 !Nz ALG mode 5 !zN
Simple Programming
Simple Programming
12-2Simple Programming
RPN mode ALG mode
RPN mode
Display Description
Program Labels
Selecting a Mode
Designing a Program
Program Boundaries LBL and RTN
ALG Operations
Using RPN, ALG and Equations in Programs
Data Input and Output
Strengths of RPN Operations
To enter a program into memory
Entering a Program
To enter an equation in a program line
Keys That Clear
12-6Simple Programming
Example Entering a Labeled Program
RPN mode
Function Names in Programs
Example Entering a Program with an Equation
HN
ZLR
12-8Simple Programming
NzX
Testing a Program
Running a Program
Executing a Program XEQ
12-10Simple Programming
Example Testing a Program
@
Using Input for Entering Data
Entering and Displaying Data
To use the Input function in a program
12-12Simple Programming
To respond to a prompt
Using View for Displaying Data
Example INPUT, VIEW, and Messages in a Program
Using Equations to Display Messages
12-14Simple Programming
= 2π R2 + 2π RH = 2π R R + H
NzLR
LR z LH
p
12-16Simple Programming
Displaying Information without Stopping
Interrupting a Running Program
Error Stops
Stopping or Interrupting a Program
Programming a Stop or Pause STOP, PSE
To insert a program line
Editing a Program
12-18Simple Programming
To delete a program line
Viewing Program Memory
Program Memory
12-20Simple Programming
Memory Usage
Catalog of Programs MEM
Clearing One or More Programs
To clear all programs from memory
Checksum
V
Selecting a Base Mode in a Program
Nonprogrammable Functions
Programming with Base
Ax4 + Bx3 + Cx2 + Dx + E
Decimal mode set Hexadecimal mode set
Polynomial Expressions and Horners Method
Numbers Entered in Program Lines
12-24Simple Programming
Keys Display ALG mode
X
Checksum and length E41A
Page
Programming Techniques
Programming Techniques
Routines in Programs
13-2Programming Techniques
Calling Subroutines XEQ, RTN
Example a Nested Subroutine
Nested Subroutines
A2 + B2
Branching GTO
13-4Programming Techniques
Programmed GTO Instruction
Using GTO from the Keyboard
13-6Programming Techniques
Conditional Instructions
Test Menus
Tests of Comparison x?y, x?0
!- % ! ! ! º¸@ !
Program Lines Description RPN mode
Flags
13-8Programming Techniques
Set
Flag
Fraction-Control Flags Status Clear
13-10Programming Techniques
Annunciators for Set Flags
Using Flags
Flags Menu Menu Key Description
13-12Programming Techniques
Example Using Flags
$ @ $ $ @ $
Program Lines Description RPN mode
Example Controlling the Fraction Display
13-14Programming Techniques
Program Lines Description
13-16Programming Techniques
Loops
. ! º6¸@ ! #$ !
Conditional Loops GTO
! !
Loop-Control Number
Loops with Counters DSE, ISG
13-18Programming Techniques
$
$
$ ! $
13-20Programming Techniques
Indirectly Addressing Variables and Labels
Variable
If i contains Then i will address
Indirect Address
! L
Program Control with
13-22Programming Techniques
Example Choosing Subroutines With
Example Loop Control With
If i holds Then XEQi calls
Program lines
- L & %1L2
13-24Programming Techniques
Equations with
1L2
L
Page
To solve a programmed function
Solving and Integrating Programs
Solving a Program
Solving and Integrating Programs
V= N x R x T
Example Program Using ALG
14-2Solving and Integrating Programs
Pressure ⋅ volume. Pressure ⋅ volume
14-4Solving and Integrating Programs
Example Program Using Equation
LP z LV LN z LR z LT
@ @ 10 !@ # /
Example Solve in a Program
Using Solve in a Program
14-6Solving and Integrating Programs
/ label #variable
To integrate a programmed function
Program Lines In RPN mode
Integrating a Program
To write a program for ≥ FN
14-8Solving and Integrating Programs
/ label
Using Integration in a Program
Sin
Example ≥ FN in a Program
14-10Solving and Integrating Programs
≥ G variable
Restrictions on Solving and Integrating
Page
= R cosP = arctan
Mathematics Programs
Vector Operations
Mathematics Programs
V1 = X i + Y j + Z k V2=U i + V j + W k
15-2Mathematics Programs
= XU + YV + ZW
Program Listing
X2 + Y2 + Z2 and P
15-4Mathematics Programs
Program Lines Description ALG mode
Goes to the vector-addition routine
15-6Mathematics Programs
Program Instructions
Flags Used
Remarks
Variables Used
15-8Mathematics Programs
XR
15-10Mathematics Programs
@
07 g !@ 125 g @
AX + DY + GZ = J BX + EY + HZ = K CX + FY + IZ = L
Solutions of Simultaneous Equations
15-12Mathematics Programs
%
15-14Mathematics Programs
Mathematics Programs
15-16Mathematics Programs
Flags Used
Scratch
15-18Mathematics Programs
@
@ @
Polynomial Root Finder
15-20Mathematics Programs
@
⋅ the sign of JK a1/2
Where J = a3/2 = y0 /2
X2 + J + Lx + K + M =
X2 + J Lx + K M =
15-22Mathematics Programs
Polynomial
!
15-24Mathematics Programs
B1 = a3a1 4a0
Checksum and length C7A6
B0 =a04a0 a32 a12
B2= -a2
JK. a1
15-26Mathematics Programs
+ L + M
15-28Mathematics Programs
Order
Terms and Coefficients
15-30Mathematics Programs
%/
15-32Mathematics Programs
Coordinate Transformations
Old coordinate System
15-34Mathematics Programs
Checksum and length 8C82
Remark
15-36Mathematics Programs
@
15-38Mathematics Programs
Statistics Programs
Statistics Programs
Curve Fitting
16-2Statistics Programs
= B + MIn
Description
16-4Statistics Programs
#$
#$
16-6Statistics Programs
16-8Statistics Programs
%@ 37.9 g &@
XS%@ 40.5 g &@ value 104.5 g %@ 38.6 g &@
/ / %@
16-10Statistics Programs
/
Normal and Inverse-Normal Distributions
Logarithmic Exponential Power
16-12Statistics Programs
Function
ª º ª -+. H % !
16-14Statistics Programs
XS@
Variable used temporarily to pass the value S ⋅ 2 π to
Inverse program
16-16Statistics Programs
2f −
Grouped Standard Deviation
16-18Statistics Programs
Updates ƒxi 2fi in register Increments or decrements N
16-20Statistics Programs
XU/ %@ 13 g @ /
Group
/
%@ @
%@
16-22Statistics Programs
%@
%@
Miscellaneous Programs and Equations
Miscellaneous Programs and Equations
Time Value of Money
17-2Miscellaneous Programs and Equations
LN `
QLI LF z
LI
Solve instructions
17-4Miscellaneous Programs and Equations
Keys Display Description RPN mode
as
Retains 5750 in B calculates monthly interest rate
17-6Miscellaneous Programs and Equations
Prime Number Generator
LBL Y
17-8Miscellaneous Programs and Equations
#$
No test is made to ensure that the input is greater than
17-10Miscellaneous Programs and Equations
Appendixes and Reference
Page
Answers to Common Questions
Support, Batteries Service
Support, Batteries, and Service A-1
Calculator Support
Changing the Batteries
2Support, Batteries, and Service
Environmental Limits
To install batteries
Support, Batteries, and Service A-3
Fire. The batteries can burst or explode
Testing Calculator Operation
4Support, Batteries, and Service
Do not mutilate, puncture, or dispose of batteries
Support, Batteries, and Service A-5
Self-Test
6Support, Batteries, and Service
Warranty
Europe Country Telephone numbers
Service
Support, Batteries, and Service A-7
America Country Telephone numbers
8Support, Batteries, and Service
Asia Pacific Country Telephone numbers
Canada
Support, Batteries, and Service A-9
Regulatory Information
Japan
10Support, Batteries, and Service
User Memory and the Stack
User Memory and the Stack
Managing Calculator Memory
2User Memory and the Stack
Resetting the Calculator
Category
Default
Clearing Memory
4User Memory and the Stack
Status of Stack Lift
Disabling Operations
Neutral Operations
EQN FDISP
Vlabel nnnn
θ ,r
Status of the Last X Register
6User Memory and the Stack
ALG Summary C-1
ALG Summary
About ALG
2ALG Summary
Power Functions
Doing Two-number Arithmetic in ALG
Simple Arithmetic
ALG Summary C-3
Percentage Calculations
27 Q
4ALG Summary
Permutations and Combinations
Quotient and Remainder Of Division
16.12 T
ALG Summary C-5
Keys Display Description
6ALG Summary
Reviewing the Stack
ALG Summary C-7
Coordinate Conversions
8ALG Summary
Integrating an Equation
Q3 z
Complex Operations
Operations with Complex Numbers
ALG Summary C-9
To view the result of complex operations
10ALG Summary
2 3 `
` Q2
ALG Summary C-11
ºy4 ÃË2
Ë5 ¹cº ºy3 ÃË
12ALG Summary
Initial x, y Corrected x, y
ALG Summary C-13
20
Page
More about Solving D-1
More about Solving
How Solve Finds a Root
Function Whose Roots Can Be Found
2More about Solving
Example An Equation With One Root
Interpreting Results
More about Solving D-3
Example An Equation with Two Roots
4More about Solving
-%.
More about Solving D-5
/
/
Example Discontinuous Function
LX
`1.5
6More about Solving
More about Solving D-7
− 1=
8More about Solving
When Solve Cannot Find a Root
Example a Relative Minimum
More about Solving D-9
Example An Asymptote
10More about Solving
Example Find the root of the equation
⎟ x + 0.3 − 0.5 =
#LX q LX 3 ``
More about Solving D-11
Example a Local Flat Region
12More about Solving
!1%ª1%-22
More about Solving D-13
Round-Off Error
14More about Solving
Underflow
More about Integration
More about Integration
How the Integral Is Evaluated
2More about Integration
Conditions That Could Cause Incorrect Results
≥0∞ xe −x dx
4More about Integration
LX z
LX `
More about Integration
6More about Integration
Conditions That Prolong Calculation Time
.
8More about Integration
More about Integration
Page
Messages F-1
Messages
Or program. This might take a while
2Messages
# variable
Messages F-3
Self-Test Messages
4Messages
Operation Index G-1
Operation Index
Name Keys and Description
2Operation Index
or
j
h
Polar to rectangular coordinates
Operation Index G-3
4Operation Index
P
Operation Index G-5
M
Complex Subtraction
6Operation Index
GComplex Change sign
Complex
Operation Index G-7
DSE variable Mvariable
8Operation Index
RHyperbolic
VRadians to degrees
?Fractional part
Operation Index G-9
Natural exponential
Wlabel
Nnnn
10Operation Index
GTO label Vlabel
label
Integer part ISG variable Lvariable
I
Operation Index G-11
Input variable variable
Common logarithm
12Operation Index
LBL label label
Natural logarithm
WDegrees to radians
Operation Index G-13
Permutations of n items
FPause
14Operation Index
Operation Index G-15
16Operation Index
Operation Index G-17
18Operation Index
11-10 Given an x-value
Operation Index G-19
≠0? 13-7
If x=0, skips the next program Line ≤0? 13-7
20Operation Index
Power Returns y raised to the xth power
Index-1
Index
Index-2
Index-3
Index-4
Index-5
Index-6
Index-7
Index-8
Index-9
Index-10
Index-11
RPN
Index-12
Index-13
View
Index-14
Index-15