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15c Collector's Edition
HP 15c Collector's Edition
308 pages
Manual
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Acknowledgements
Manufacturer would lik
e to thank the following fo
r their contribution:
José González Divassón,
Włodek Mier-Jędrzejowicz,
Bob Prosperi,
Eric Rechlin, Jake Schw
artz, Namir Shammas, and
Gene Wright
3
5
Table of Contents
Main Page
Cover
1
Introduction
5
Contents
16
The HP 15c: A Problem Solver
24
A Quick Look at [ENTER]
24
Manual Solutions
25
Programmed Solutions
26
Part I: HP 15c Fundamentals
29
Section 1: Getting Started
30
Power On and Off
30
Keyboard Operation
30
Primary and Alternate Functions
30
Prefix Keys
31
Changing Signs
31
Keying in Exponents
31
The "CLEAR" Keys
32
Display Clearing: [CLx] and [←]
33
Calculations
34
One-Number Functions
34
Two-Number Functions and [ENTER]
34
Section 2: Numeric Functions
36
Pi
36
Number Alteration Functions
36
One-Number Functions
37
General Functions
37
Trigonometric Operations
38
Time and Angle Conversions
38
Degrees/Radians Conversions
39
Logarithmic Functions
40
Hyperbolic Functions
40
Two-Number Functions
41
The Power Function
41
Percentages
41
Polar and Rectangular Coordinate Conversions
42
Section 3: The Automatic Memory Stack, LAST X, and Data Storage
44
The Automatic Memory Stack and Stack Manipulation
44
Stack Manipulation Functions
45
The LAST X Register and [LSTx]
47
Calculator Functions and the Stack
48
Order of Entry and the [ENTER] Key
49
Nested Calculations
50
Arithmetic Calculations With Constants
51
Storage Register Operations
54
Storing and Recalling Numbers
54
Clearing Data Storage Registers
55
Storage and Recall Arithmetic
55
Overflow and Underflow
57
Problems
57
Section 4: Statistics Functions
59
Probability Calculations
59
Random Number Generator
60
Accumulating Statistics
61
Correcting Accumulated Statistics
64
Mean
65
Standard Deviation
65
Linear Regression
66
Linear Estimation and Correlation Coefficient
67
Other Applications
69
Section 5: The Display and Continuous Memory
70
Display Control
70
Fixed Decimal Display
70
Scientific Notation Display
70
Engineering Notation Display
71
Mantissa Display
72
Round-Off Error
72
Special Displays
72
Annunciators
72
Digit Separators
73
Error Display
73
Overflow and Underflow
73
Low-Power Indication
74
Continuous Memory
74
Status
74
Resetting Continuous Memory
75
Adjusting the Display Contrast
75
Part II: HP 15c Programming
77
Section 6: Programming Basics
78
The Mechanics
78
Creating a Program
78
Loading a Program
78
Intermediate Program Stops
80
Running a Program
80
How to Enter Data
81
Program Memory
82
Example
82
Further Information
86
Program Instructions
86
Instruction Coding
86
Memory Configuration
87
Initial Memory Configuration
88
Program Boundaries
89
Unexpected Program Stops
90
Abbreviated Key Sequences
90
User Mode
91
Polynomial Expressions and Horner's Method
91
Nonprogrammable Functions
92
Problems
93
Section 7: Program Editing
94
The Mechanics
94
Moving to a Line in Program Memory
94
Deleting Program Lines
95
Inserting Program Lines
95
Examples
95
Further Information
97
Single-Step Operations
97
Line Position
98
Insertions and Deletions
99
Initializing Calculator Status
99
Problems
99
Section 8: Program Branching and Controls
102
The Mechanics
102
Branching
102
Conditional Tests
103
Flags
104
Examples
105
Example: Branching and Looping
105
Example: Flags
107
Further Information
109
Go To
109
Looping
110
Conditional Branching
110
Flags
110
The System Flags: Flags 8 and 9
111
Section 9: Subroutines
113
The Mechanics
113
Go To Subroutine and Return
113
Subroutine Limits
114
Examples
114
Further Information
117
The Subroutine Return
117
Nested Subroutines
117
Section 10: The Index Register and Loop Control
118
The [I] and [(i)] Keys
118
Direct Versus Indirect Data Storage With the Index Register
118
Indirect Program Control With the Index Register
119
Program Loop Control
119
The Mechanics
119
Index Register Storage and Recall
119
Index Register Arithmetic
120
Exchanging the X-Register
120
Indirect Branching With [I]
120
Indirect Flag Control With [I]
121
Indirect Display Format Control With [I]
121
Loop Control With Counters: [ISG] and [DSE]
121
Examples
123
Examples: Register Operations
123
Example: Loop Control With [DSE]
124
Example: Display Format Control
126
Further Information
127
Index Register Contents
127
[ISG] and [DSE]
128
Indirect Display Control
128
Part III: HP 15c Advanced Functions
131
Section 11: Calculating With Complex Numbers
132
The Complex Stack and Complex Mode
132
Creating the Complex Stack
132
Deactivating Complex Mode
133
Complex Numbers and the Stack
133
Entering Complex Numbers
133
Stack Lift in Complex Mode
136
Manipulating the Real and Imaginary Stacks
136
Changing Signs
136
Clearing a Complex Number
137
Entering a Real Number
140
Entering a Pure Imaginary Number
141
Storing and Recalling Complex Numbers
142
Operations With Complex Numbers
142
One-Number Functions
143
Two-Number Functions
143
Stack Manipulation Functions
143
Conditional Tests
144
Complex Results from Real Numbers
145
Polar and Rectangular Coordinate Conversions
145
Problems
147
For Further Information
149
Section 12: Calculating With Matrices
150
Matrix Dimensions
152
Dimensioning a Matrix
153
Displaying Matrix Dimensions
154
Changing Matrix Dimensions
154
Storing and Recalling Matrix Elements
155
Storing and Recalling All Elements in Order
155
Checking and Changing Matrix Elements Individually
157
Storing a Number in All Elements of a Matrix
159
Matrix Operations
159
Matrix Descriptors
159
The Result Matrix
160
Copying a Matrix
161
One-Matrix Operations
161
Scalar Operations
163
Arithmetic Operations
165
Matrix Multiplication
166
Solving the Equation AX = B
168
Calculating the Residual
171
Using Matrices in LU Form
172
Calculations With Complex Matrices
172
Storing the Elements of a Complex Matrix
173
The Complex Transformations Between Zᴾ and Z
176
Inverting a Complex Matrix
177
Multiplying Complex Matrices
178
Solving the Complex Equation AX = B
180
Miscellaneous Operations Involving Matrices
185
Using a Matrix Element With Register Operations
185
Using Matrix Descriptors in the Index Register
185
Conditional Tests on Matrix Descriptors
186
Stack Operation for Matrix Calculations
186
Using Matrix Operations in a Program
188
Summary of Matrix Functions
189
For Further Information
191
Section 13: Finding the Roots of an Equation
192
Using [SOLVE]
192
When No Root Is Found
198
Choosing Initial Estimates
200
Using [SOLVE] in a Program
204
Restriction on the Use of [SOLVE]
205
Memory Requirements
205
For Further Information
205
Section 14: Numerical Integration
206
Using [∫ᵧˣ]
206
Accuracy of [∫ᵧˣ]
212
Using [∫ᵧˣ] in a Program
215
Memory Requirements
216
For Further Information
216
Appendices
217
Appendix A: Error Conditions
217
Appendix B: Stack Lift and the LAST X Register
221
Digit Entry Termination
221
Stack Lift
221
Disabling Operations
222
Enabling Operations
222
Neutral Operations
223
LAST X Register
224
Appendix C: Memory Allocation
225
The Memory Space
225
Registers
225
Memory Status ([MEM])
227
Memory Reallocation
227
The [DIM] [(i)] Function
227
Restrictions on Reallocation
228
Program Memory
229
Memory Requirements for the Advanced Functions
230
Appendix D: A Detailed Look at [SOLVE]
232
How [SOLVE] Works
232
Accuracy of the Root
234
Interpreting Results
238
Finding Several Roots
245
Limiting the Estimation Time
250
Counting Iterations
250
Specifying a Tolerance
250
For Advanced Information
251
Appendix E: A Detailed Look at [∫ᵧˣ]
252
How [∫ᵧˣ] Works
252
Accuracy, Uncertainty, and Calculation Time
253
Uncertainty and the Display Format
257
Conditions That Could Cause Incorrect Results
261
Conditions That Prolong Calculation Time
266
Obtaining the Current Approximation to an Integral
269
For Advanced Information
270
Appendix F: Batteries, Self-Tests, and Regulatory Information
271
Batteries
271
Low-Power Indication
271
Installing New Batteries
272
Verifying Proper Operation (Self-Tests)
273
Legal Notice
274
Customer Care
275
Regulatory Information and Environmental Limits
275
Limited Hardware Warranty
275
Federal Communications Commission Notice
276
Modifications
276
Declaration of Conformity for Products Marked with FCC Logo
276
Canadian Notice
277
Avis Canadien
277
For Australia Only
277
Perchlorate Material
278
Chemical Substances
278
Disposal of Waste Equipment by Users in Private Household in the European Union
278
European Union Regulatory Notice
279
Japanese Notice
280
Korean Notice
280
Chinese Notice
280
Appendix G: Differences Between the HP 15c CE and HP-15C
281
Performance
281
Memory
281
Battery Usage
282
Self-Tests
282
Display
282
Appendix H: Known Limitations
283
[GSB][I] With Negative Number
283
Conditional as Last Line of Program
283
[CHS] and Stack Lift
283
Function Summary and Index
284
Complex Functions
284
Conversions
285
Digit Entry
285
Display Control
285
Hyperbolic Functions
285
Index Register Control
286
Logarithmic and Exponential Functions
286
Mathematics
286
Matrix Functions
286
Number Alteration
288
Percentage
288
Prefix Keys
288
Probability
288
Stack Manipulation
289
Statistics
289
Storage
290
Trigonometry
290
Programming Summary and Index
290
Subject Index
293
The HP 15c Keyboard and Continuous Memory
306
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