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HP 15C User Manual

HP 15C
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HP-15C
Complex Numbers
Memory In complex mode a complex stack including Last-X register exists.
The needed five registers are allocated from the uncommitted
memory space, see MEM.
f I
-or-
ReIm
Automatically turns on the complex mode. Indicated by "C" in the
display. To turn off complex mode clear flag 8 (CF8).
NOTE: If stack lift is enabled and a number is keyed in, a stack lift
occurs and the imaginary part is set to 0!
Real number If stack lift is enabled: Enter real part
Imaginary
number
If stack lift is enabled: Enter real part, press ReIm
f I Complex number input: <real part> ENTER <imaginary part> f I
f (i) Display imaginary part of number while (i) is held down
ReIm
Exchange real and imaginary part
CHS
Changes sign of real part only! Use ReIm to negate the imaginary
part as well
CLx or
Clears only the real part. However, this disables stack lift for both the
real and imaginary stack so the entry of a complex number after ""
will do the expected thing
STO & RCL STO & RCL only act on the real part of the number!
Store: STO 1, ReIm, STO 2, ReIm
Recall: RCL 2, RCL 1, f I
-or-
RCL 2, ReIm, , RCL 1 (this does not disturb the stack)
xy
Replace both real and imaginary part of X and Y register
R R
Shift both the real and imaginary part
Sqrt x² Ln Log
1/x e
x
hyp sin cos tan
hyp
-1
sin cos tan
All these unary functions work in complex mode as well.
NOTE: To calculate sqrt(-1) the complex mode must be already
enabled or otherwise an error occurs!
ABS Calculates magnitude of complex number
+ - x ÷ y
x
All these binary functions work in complex mode as well
sin cos tan
sin
-1
cos
-1
tan
-1
Trigonometric functions are only executed in radians (2π)
P
Convert from rectangular coordinates (real=X, imaginary=Y) to polar
coordinates (real=R, imaginary=θ).
This operation is affected by the current trigonometric setting
(DEG,RAD, GRD)
R Convert from polar coordinates (real=R, imaginary=θ) to rectangular
coordinates (real=X, imaginary=Y).
This operation is affected by the current trigonometric setting
(DEG,RAD, GRD)
Conditional tests These tests work for complex numbers and operate on both the real
and imaginary part: x=y, TEST 0 (X0), TEST 5 (X=Y), TEST 6 (XY)
All other tests ignore the imaginary part of the complex number
6
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HP 15C Specifications

General IconGeneral
Memory registers65
Storage media type-
TypeScientific
CoverNo
Form factorPocket
Control typeButtons
Product colorBlack, White
Housing materialPlastic
Digits10 digits
Display typeLCD
Display number of lines1 lines
Battery typeCR2032
Power sourceBattery
Auto power offYes
Auto power off after5 min
Number of batteries supported2
Weight and Dimensions IconWeight and Dimensions
Depth15.2 mm
Width129 mm
Height80 mm
Weight116 g

Summary

Memory & Display

Memory Overview

Details on memory size, registers, stack, and nonvolatile memory.

Global Reset Function

Clears all permanent memory.

MEM Display

Shows memory assignment and initial setup.

Clearing Data & Storage

CLEAR REG, CLEAR PREFIX

Clears all storage registers or prefix key data.

Direct Register Access

Store X in specified register or recall from storage.

Index Register Operations

Store, recall, and exchange with index register I.

Indirect Addressing

Access registers using the index register I.

Mathematical Functions

Trigonometric & Hyperbolic Functions

Perform trig/hyperbolic operations and set modes.

Programming & Control

Statistical Analysis

Calculate means, standard deviations, and regression.

Program Entry and Execution

Inserting code, executing programs via labels and GSB.

Advanced Programming

Labels and GOTO Instructions

Insert labels and set program counter to specified labels.

Flag Operations

Set, clear, and test flags for program control.

Loop Control (ISG/DSE)

Increment/Decrement and skip based on register values.

Complex Number Operations

Complex Mode Activation

Activate complex mode using 'f I' and deactivate with CF8.

Entering Complex Numbers

Input real and imaginary parts separated by ENTER.

Complex Arithmetic & Functions

Perform operations on complex numbers, including trig.

Matrix Operations

Matrix Element Access

Store/Recall matrix elements using R0/R1 as indices.

Matrix Operations & Conversions

Binary Matrix Operations

Add, subtract, multiply matrices with compatible dimensions.

Matrix Division & Inverse

Calculate matrix division and inverse using LU decomposition.

Solver and Integrator

Finding Real Roots (SOLVE)

Finds real root of f(X) using initial guesses.

Numerical Integration

Numerical Integration (∫xy)

Integrates function f(X) over a range using GSB calls.

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