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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