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