HP-15C Owner s Handbook
HP-15C Owner's Handbook
HP Part Number: 00015-90001 Edition 2.4, Sep 2011
Legal Notice
This manual and any examples contained herein are provided "as is" and are subject to change without notice. Hewlett-Packard Company makes no warranty of any kind with regard to this manual, including, but not limited to, the implied warranties of merchantability noninfringement and fitness for a particular purpose. In this regard, HP shall not be liable for technical or editorial errors or omissions contained in the manual. Hewlett-Packard Company shall not be liable for any errors or incidental or consequential damages in connection with the furnishing, performance, or use of this manual or the examples contained herein. Copyright ? 2011 Hewlett-Packard Development Company, LP. Reproduction, adaptation, or translation of this manual is prohibited without prior written permission of Hewlett-Packard Company, except as allowed under the copyright laws.
Hewlett-Packard Company Palo Alto, CA 94304 USA
Introduction
Congratulations! Whether you are new to HP calculators or an experienced user, you will find the HP-15C a powerful and valuable calculating tool. The HP-15C provides:
448 bytes of program memory (one or two bytes per instruction) and sophisticated programming capability, including conditional and unconditional branching, subroutines, flags, and editing.
Four advanced mathematics capabilities: complex number calculations, matrix calculations, solving for roots, and numerical integration.
Direct and indirect storage in up to 67 registers.
This handbook is written for you, regardless of your level of expertise. The beginning part covers all the basic functions of the HP-15C and how to use them. The second part covers programming and is broken down into three subsections ? The Mechanics, Examples, and Further Information ? in order to make it easy for users with varying backgrounds to find the information they need. The last part describes the four advanced mathematics capabilities.
Before starting these sections, you may want to gain some operating and programming experience on the HP-15C by working through the introductory material, The HP-15C: A Problem Solver, on page 12.
The various appendices describe additional details of calculator operation, as well as warranty and service information. The Function Summary and Index and the Programming Summary and Index at the back of this manual can be used for quick reference to each function key and as a handy page reference to more comprehensive information inside the manual.
Also available from Hewlett-Packard is the HP-15C Advanced Functions Handbook, which provides applications and technical descriptions for the root-solving, integration, complex number, and matrix functions.
Note: You certainly do not need to read every part of the manual before delving into the HP-15C Advanced Functions if you are already familiar with HP calculators. The use of _ and f requires a knowledge of HP-15C programming.
3
Contents
The HP-15C: A Problem Solver ....................................
12
A Quick Look at v .................................................
12
Manual Solutions ............................................................
13
Programmed Solutions .....................................................
14
Part I: HP-15C Fundamentals ................................
17
Section 1: Getting Started ..........................................
18
Power On and Off ..........................................................
18
Keyboard Operation .......................................................
18
Primary and Alternate Functions .....................................
18
Prefix Keys ..................................................................
19
Changing Signs ...........................................................
19
Keying in Exponents .....................................................
19
The "CLEAR" Keys ........................................................
20
Display Clearing: ` and - ...................................
21
Calculations ...................................................................
22
One-Number Functions .................................................
22
Two-Number Functions and v ...............................
22
Section 2: Numeric Functions .....................................
24
Pi ..................................................................................
24
Number Alteration Functions ............................................
24
One-Number Functions ....................................................
25
General Functions ........................................................
25
Trigonometric Operations ..............................................
26
Time and Angle Conversions .........................................
26
Degrees/Radians Conversions .......................................
27
Logarithmic Functions ...................................................
28
Hyperbolic Functions ....................................................
28
Two-Number Functions ....................................................
29
The Power Function ......................................................
29
Percentages .................................................................
29
Polar and Rectangular Coordinate Conversions ...............
30
Section 3: The Automatic Memory Stack, LAST X, and
Data Storage ........................................................
32
4
Contents 5
The Automatic Memory Stack and Stack Manipulation ........
32
Stack Manipulation Functions ........................................
33
The LAST X Register and K .......................................
35
Calculator Functions and the Stack .................................
36
Order of Entry and the v Key ...............................
37
Nested Calculations .....................................................
38
Arithmetic Calculations With Constants ...........................
39
Storage Register Operations ............................................
42
Storing and Recalling Numbers .....................................
42
Clearing Data Storage Registers ....................................
43
Storage and Recall Arithmetic ........................................
43
Overflow and Underflow ..............................................
45
Problems ........................................................................
45
Section 4: Statistics Functions .....................................
47
Probability Calculations ...................................................
47
Random Number Generator .............................................
48
Accumulating Statistics .....................................................
49
Correcting Accumulated Statistics ...................................
52
Mean ..........................................................................
53
Standard Deviation .......................................................
53
Linear Regression .........................................................
54
Linear Estimation and Correlation Coefficient ...................
55
Other Applications .......................................................
57
Section 5: The Display and Continuous Memory ...........
58
Display Control ..............................................................
58
Fixed Decimal Display ..................................................
58
Scientific Notation Display ............................................
59
Engineering Notation Display ........................................
59
Mantissa Display .........................................................
60
Round-Off Error ............................................................
60
Special Displays .............................................................
60
Annunciators ...............................................................
60
Digit Separators ...........................................................
61
Error Display ...............................................................
61
Overflow and Underflow ..............................................
61
Low-Power Indication ....................................................
62
Continuous Memory ........................................................
62
Status .........................................................................
62
6 Contents
Resetting Continuous Memory ........................................
63
Part II: HP-15C Programming ...............................
65
Section 6: Programming Basics ..................................
66
The Mechanics ...............................................................
66
Creating a Program .....................................................
66
Loading a Program ......................................................
66
Intermediate Program Stops ...........................................
68
Running a Program .......................................................
68
How to Enter Data ........................................................
69
Program Memory .........................................................
70
Further Information ..........................................................
74
Program Instructions .....................................................
74
Instruction Coding ........................................................
74
Memory Configuration ..................................................
75
Program Boundaries .....................................................
77
Unexpected Program Stops ...........................................
78
Abbreviated Key Sequences ..........................................
78
User Mode ..................................................................
79
Polynomial Expressions and Horner's Method ..................
79
Nonprogrammable Functions .........................................
80
Problems ........................................................................
81
Section 7: Program Editing ........................................
82
The Mechanics ...............................................................
82
Moving to a Line in Program Memory .............................
82
Deleting Program Lines .................................................
83
Inserting Program Lines .................................................
83
Examples .......................................................................
83
Further Information ..........................................................
85
Single-Step Operations .................................................
85
Line Position ................................................................
86
Insertions and Deletions ................................................
87
Initializing Calculator Status ..........................................
87
Problems ........................................................................
87
Section 8: Program Branching and Controls .................
90
The Mechanics ...............................................................
90
Branching ...................................................................
90
Conditional Tests ..........................................................
91
Contents 7
Flags ..........................................................................
92
Examples .......................................................................
93
Example: Branching and Looping ...................................
93
Example: Flags ............................................................
95
Further Information ..........................................................
97
GoTo ..........................................................................
97
Looping ......................................................................
98
Conditional Branching ..................................................
98
Flags ..........................................................................
98
The System Flags: Flags 8 and 9 ....................................
99
Section 9: Subroutines ...............................................
101
The Mechanics ...............................................................
101
GoTo Subroutine and Return ..........................................
101
Subroutine Limits ..........................................................
102
Examples .......................................................................
102
Further Information ..........................................................
105
The Subroutine Return ...................................................
105
Nested Subroutines ......................................................
105
Section 10: The Index Register and Loop Control ...........
106
The V and % Keys ....................................................
106
Direct Versus Indirect Data Storage With
The Index Register .....................................................
106
Indirect Program Control With the Index Register .............
107
Program Loop Control ...................................................
107
The Mechanics ...............................................................
107
Index Register Storage and Recall ..................................
107
Index Register Arithmetic ...............................................
108
Exchanging the X-Register .............................................
108
Indirect Branching With V .........................................
108
Indirect Flag Control With V ......................................
109
Indirect Display Format Control With V .......................
109
Loop Control with Counters: I and e ..................
109
Examples .......................................................................
111
Examples: Register Operations .......................................
111
Example: Loop Control With s .................................
112
Example: Display Format Control ....................................
114
Further Information ..........................................................
115
Index Register Contents .................................................
115
8 Contents
I and e ..........................................................
116
Indirect Display Control ...........................................
116
Part III: HP-15C Advanced Functions ....................
119
Section 11: Calculating With Complex Numbers ..........
120
The Complex Stack and Complex Mode ............................
120
Creating the Complex Stack ..........................................
120
Deactivating Complex Mode .........................................
121
Complex Numbers and the Stack ......................................
121
Entering Complex Numbers ...........................................
121
Stack Lift in Complex Mode ...........................................
124
Manipulating the Real and Imaginary Stacks ..................
124
Changing Signs ..........................................................
124
Clearing a Complex Number .......................................
125
Entering a Real Number ...............................................
128
Entering a Pure Imaginary Number ...............................
129
Storing and Recalling Complex Numbers .......................
130
Operations With Complex Numbers ................................
130
One-Number Functions ................................................
131
Two-Number Functions .................................................
131
Stack Manipulation Functions .......................................
131
Conditional Tests .........................................................
132
Complex Results from Real Numbers ..............................
133
Polar and Rectangular Coordinate Conversions .................
133
Problems .......................................................................
135
For Further Information ...................................................
137
Section 12: Calculating With Matrices ........................
138
Matrix Dimensions .........................................................
140
Dimensioning a Matrix .................................................
141
Displaying Matrix Dimensions .......................................
142
Changing Matrix Dimensions ........................................
142
Storing and Recalling Matrix Elements ..............................
143
Storing and Recalling All Elements in Order ...................
143
Checking and Changing Matrix Elements Individually .....
145
Storing a Number in All Elements of a Matrix .................
147
Matrix Operations .........................................................
147
Matrix Descriptors .......................................................
147
The Result Matrix .........................................................
148
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