HP HP-33E User guide

HEVVLETT-PA C KAJUD
: HP·33E/33C
~
OWNER'S HANDBOOK
AND PROGRAMMING GUIDE

About Continuous Memory(HP-33C only)
If you purchased an Hp·33C instead of an HP.33E, your calculator contaris one of
the most advanced memory systems available in a scientific calculator. Continuous
Memory means the program memory. all eight storage registers, and the display
mode stay " on " 'NIlen your calculator is turned off . You can store both your favorite
program (or programs) and useful data
for as long as you want.
Continuous
Memory is especially convenient when you want to customize your
calculator (e.g., if you use 20% of your programs to solve 80% of yourproblems). You
save considerable time because you don 't have to key in those common progra ms
again and again-they are stored in your calculator. Continuous M emory redu ces
human entry errors too ;fewer keystrokes mean fBWef chances of making inadvertent
"""" -
Besides saving programs, Continuous Memory lets you save data in the HP·33C 's
eight storage registers. Constants, accumulations,
and intennediate answers can be
retrieved whenever you need them . And because the display mode is al so saved in
Continuous
Memory , your calculator "wakes up " in whatever (!i!J , (@ , or ~
setting you last used.
ContinuousMemory alsohelps save battery life in
many situations. Much of thetime a
calculator is switched on is spent wa iting while holding programs or data until the next
computation.Continuous
Memory eliminates much of this unneededbattery usage by
allowing you to switch off the calculator when you havea prolongedpause or interrup-
tion between calculations.
Note : Unless otherwise indicated, "HP-33E" is used throughout this han<t>ook to
refer to ooth the HP-33 E and the HP-33C .

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HEWLETT' PACKARD
The HP-33E/33C Programmable
Scientific Calculator
Owner's Handbook and
Programming Guide
April 1979
00033-90039
Pr i nted in U.S.A. c
Hewlett -Packard Company 1979

Contents
The HP-33E Programmable Scientific Calculator
Keyboard ... . . . . .... . . . .. . ........ .
Function Key Index ..................... .
Programming
Key Index
Section I: Meet the HP-33E
Manual Problem Solving ......... .
Programmed
Problem Solving ... .... .... ... ... .
Section 2: Specific Features of the HP-33E
Self-Check Routine .... ... . . .
Mantissa
· .48
.. 4
.... 7
.12
.13
.
.... 14
.. ... .. 16
. . .
16
..... .. 17
Storage Registers
Number
Alteration Keys
... ... 17
......... ... .... 18
Absolute Value ....
Integer Portion of a Number
Fractional
Portion of a Number
Statistical Functions
Accumulations
Mean
Standard Deviation
Deleting and Correcting Data
Linear Regression .......... . .... .
.
..... 18
..... .. 18
......... ... .... 18
... .. 19
.... .. 19
. .. ..... .. . 21
.. ... 21
........ 23
. ..... ... ..... 24
Linear Estimate ....... . . . .. ... 26
Correlation Coefficient
Vector Arithmetic
Section 3: Simple Programming
What Is a Program? ................ . .
Why Write Programs? ............... . ......... .
Keycodes
Introductory Program ........... . .
Running a Program
..... . . 27
...... 27
..... 30
. .. 30
. 30
.. . .... 30
. .... ..... .. 32
.. ... .. 33
Writing a Second Program ... ... .. . . · .
33
Displaying Each Step . . . ............... . .
Going to a Une Number
Programmed
Stops
Stopping During Program Execution ....... .. .
2
· . 35
....... 35
... 36
· . 36

::;;
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~
::;;
~
~
~
:::;j
~
~
~
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,
Contents 3
Pausing During Progr am Execution .... • ....
Program Stops ..... ... .... .... ... . .
Error Stops
Flowcharts
Section 4: Branching
Unconditional Branching and Looping
Conditional Tests and Conditional Branche s
Problems ....................... .
Section 5: Subroutines
Routine-Subroutine Usage ........ .
Subroutine Umits ......... .
Section 6: Program Editing .. ... ... .
F inding the Error
Changing One Instruction
Adding Instruction s
Appendix A: Service and Maintenance
Appendix
B: Error Indications .......... .
. ........ 38
. .. 40
... .. .. 40
... 41
· . 46
........... 46
..... 49
. .... 56
.... 60
· .
65
· .68
.
.... ... 70
... 70
........ 72
..... 74
. 76
. ..... .... 84
Appendix C: Stack Lift and LAST X
.... . .... . ... 86
Appendix D: Continuous Memory .......... . ..... . .... .... 90

The HP-33E/33C Programmable
Scientific Calculator
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Program Memory Automatic Storage
Memory Stack Registers
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01-
13 00 Z
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02-
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Y A,
03-
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04- 13 00
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Function Key Index
Function
keys
pressed from the keyboard executeindividual functions as
they
are pressed. Input numbers and answers are displayed. Except
where
otherwise indicated. each function key listed below operates from
the keyboard and as a recorded instruction in a program.
Off~ON
Number
IMANT
i
Mantissa (non-
mPressed before Manipulation
programmable).
function
key.selects
Clear
cmJ
Temporarily dis-
gold
function
print- Clears contents of plays all 10 digits of
eel
above
key
.
stack (X,
y,
Z, T). the mantissa of the
number in the
m
Pressed
before
~
Rolisdown
X-register.
function
key, selects contents
of
stack
Number
Alteration
blue
function printed for viewing in dis-
on
lower
face
of
key
. played X-register.
~
Givesab-
I
13f
'
,..,.1]
(non- @El Exchanges solute value
of
programmable) after number in displayed
QJ
,
fi
.
@,
I]§[], contents of
X- and X-register.
CEJ,
(!ID,
C!!!It
,
Y-registers of stack.
Gill
Leaves
only
@!!l,
or
@§)
@J
Clears integer portion
of
cancels that key. contents of display-
number
in displayed
Olg~
Entry
ed
X-registerto
zero
. X-register
by
!BnBltl Enters a truncating fractional
copy
of
number
Display
Control
portion.
displayed
in
X-
[FfU£:
i
Lea
ves
only
register. Used
to
'EJ
Fixed point fractional portion of
separate numbers. display. Followed
by
number
in
displayed
~
Changes sign a
number
key
. X-register
by
selects fixed point
of
mantissa or notation display. truncating integer
exponent
of
lOin
portion.
displayed X-register.
[!§)
Scientific
I!ID
Enter ex- display. Followed by
Manual
Storage
a
number
key
.
lli2J
Store. FollOW-
ponent. After press- selects scientific
ing. next numbers notation display. ed
by
number
key,
keyed
in
are stores displayed
exponents
of
10.
@
Engineering
number
in storage
o through 9 display. Followed by register specified.
a
number
key,
Also
used
to perform
Digt keys. selects engineering storage register
_Decimal point. notation display. arithmetic.
4

Function Key Index (Continued)
~ Recall. Follow- Trigonometry PolarfRectangular
ad by number key.
~ Sets decimal Conversion
recalls value from
degrees mode for
E!) Converts x and y
~
storage register trigonometric rectangular coordi-
specified into the
functions. nates p
laced in X-
displayed X -r egister.
~ Sets radians
and Y-registers to
~
Clear ~ Clears
mode for trigono- polar coordinates
contents of all
metric functions. with
magnitude, and
storage registers. angle
(J ,
iLST xl Recalls
~ Sets grads
BJ Converts p olar
~
number d is played
mode for t ri gono-
coordinates with
before the previous metric fu
nct i ons . m
ag nitu de ra nd
ope ration back into
~[@@E] angle (J in X- and
the displayed Computes sine, Y-registers
to
X-register. cosine,
or tangent of
rectangular x and y
~
value in displayed coordinates.
X-register.
ISIH"' Ileos,'11 TAW' I
L:
Mathematics
Computes arc sine,
arc cosine, or arc
~
@ Computes tangent of
numbe r in
square root of
dis played X·register. Logarithmic and
nu mber in displayed
.. ~~~ Converts
Exponential
~
X·register. decimal hours or o Raises
number
o Computes
deg r ees to hours,
in Y-register to
square of
number
minutes, seconds or
power of number in
in displayed
degrees , minutes, displayed X·register.
X-register. seconds.
~ Common
~
lID Com putes 8 Converts hours, antilogarithm.
reciprocal of nu mber
minutes, seconds or
Raises 10 to power
in displayed degrees, minutes, ofnu
mber in display-
X-register. seconds,
to decimal ed X-registe
r.
E o Placesvalue ofpi hours
or degrees.
!£) Natural
(3. 141 592654) into
I·DEol Conve rts antilogarithm.
displayed X·register. radians
to degrees. Raises e
0800
(2.718281828) to
~
Arithmetic
I·A~ol Converts
power of number in
ope rators.
degrees to radians. displayed X-register.
S

Function Key Index (Continued)
~ Computes
common logarithm
(base 10) of number
in displayed
X-register.
[E) Computes
natural logarithm
(base
e,
2.718281828) of
number in displayed
X·register.
Statistics
(EJ Accumulates
number from X- and
V-registers into
storage registers Rz
through R7_
CB Subtracts x and
y values from
storage registers R2
through R7for
correcting I£J
accumulations.
(!) Computes mean
(average) of x and y
values accumulated
by lEI.
[!J Computes
sample standard
deviations of x and y
values accumulated
by (0.
UTI Linear regres-
sion. Computes y-
intercept (A)
and
slope (8) for x and y
data points accumu-
lated using [B .
6
mLinear estimate.
Computes a predict-
ed xvaluefor agiven
y.
ill Linear estimate.
Computes a predict-
ed yvaluefor agiven
x.
CD Computes
correlation c0-
efficient of x and y
values accumulated
by lEI.
Percentage
~ Computes x%
of y.

Programming Key Index
PROGRAM Mode
All function keys
except the functions
shown below are
loaded into program
memory when
pressed.
Active keys:
In PRGM mode only
the following opera·
tions are active.
These operations
are used to he lp
record programs,
and cannot them-
selves be recor
ded
in program memory.
I GTO I Go to. Fol-
lowed by •nn posi-
tions calculator to
line nn of pr ogram
memory. No instruc-
tions are executed
(page 35).
Automatic RUN Mode
PRGM-RUN switch """" .mIl .... to
RUN. Function keys may be executedas
part of a recorded progr am or individually
by pressing from the keyboard. Input
numbers
and answers are di sp layed by
the calculator. except where indicated.
Pressed from
keyboard :
IGTol Go to . Fol-
lowed by . nn sets
calculator to line nn
of program memory .
No instructions are
executed (page 35).
7
Executed as a
recorded program
Instruction:
,G TO I Go to . Fol-
l
owed by nn causes
calcul
ator to stop
execution,
sea rch
through program
me mory to desig-
nated line
and
r es u me execution
th
ere (page 36).

-
Programming Key Index (Continued)
PROGRAM Mode
Active keys:
CI.EAR~·
Clear program.
Clears program
me mory to all I GTO I
00 instructions and
sets calculator to
line 00 (page 14).
Automatic RUN Mode
Pressed
from Executed as a
keyboard:
recorded program
instruction :
IRTN I Return. Sets I RTN I Return.
If
calculator to line 00 executed as a result
of program memory of pressing I
GSB I or
(page 33). execution of a
~
instruction, stops
execution and
returns control to
keyboard. If axe·
culed as a result of
a programmed lasBI
instruction, returns
control to next line
after the I Gsal
instruction
(page 60).
CLEAR 1 ...... 1After
a prefix key, cancels
that key. After other
keys, does nothing.
Does not disturb
program memory or
calculator status.
Sets calculator to
line 00 (page 14).
1 PAUSE 1Stops pro·
gram execution and
displays contents of
X-register for
approximately 1
second, then
resumes program
eXeo.Jtion (page 38).
8
-
-
~ -
- .....
~ -
-
~

Programming Key Index (Continued)
PROGRAM Mode Automatic RUN Mode
~
Active keys: Pressed from
Executed as a
keyboard:
recorded program
instruction:
=3
I• ., 1B ack step. I 8ST I Back step.
Moves ca l cu lator Sets calrulator to
back one line in and displays line
=3
program memory
(page 35).
number and keycode
of previous program
memory line when
-
~
pressed; displays
original contents of
~
X-register when
released. No instruc-
tions are executed
=3
(page 35).
~
~
-
~
=!i
filil\ililtilij~
x_o X:O X:>O X<:O
-
~
Conditionals. Each
tests value in
X-
-
-,!I
register against 0 or
value in V-register
as indicated. If true,
=a
calculator executes
instruction in next
~
line of program
memory. If false,
calculator skips one
--.
-::!I
line before resuming
execution
(page 49).
~
9

Programming Key Index (Continued)
PROGRAM Mode
Active keys:
ISST I Single step.
Moves calculator
forward one line
in
program memory
(page
35) .
CLEAR
_PREFlX I
After 0] . 00 .1.,01.
IRCtl, "IX' , ~ .
IENGI , I GS s l. or
I
GTO I, cancels that
key.
Automatic RUN Mode
Pressed
from Executed as a
keyboard: recorded
program
I nstruction :
ISST I Single step.
Displays line
nu m-
ber and keycode of
cu rrent program
memory line when
pressed; executes
instruction, dis-
plays resu
lt , and
moves
ca lculator to
next
Hne when
released (page 35).
~ Run/stop.
~ Run/stop.
Begins execution Stops program
from current line
of execu ti on (page 36).
program memory.
Stops execution if
program
is running
(page
36) .
CLEAR' PREAX I
After I . OO ,l sTOI.
IRCt!,
F"i"X , ~ ,
IENGI , I GSsl. or
I GTO I, cancels that
key.
10

~
~
~
~
:::iiij
~
~
~
~
~
b:
~
~
I
Programming Key Index (Continued)
PROGRAM Mode
Automatic RUN Mode
Active keys: Pressed from
Executed as a
keyboard : recorded program
instruction:
IGSBI Go to sub- I
GSBI Go to sub-
routine. Followed routine. Followed
by line number 01- by line number 01-
49, causes calcu-
49 causes calcu-
lator to start exe- lator to
go to desig-
culing instructions nated line and exe-
beginning with cute that section of
designated line program memory
as
(page 60). a subroutine
(page 60).
IHOP I No operation.
Calculator executes
no operation and
continues program
execution(page73).
Any key. Pressing
any key on the key-
board stops execu-
tion of a running
program (page 40).
11

Section 1
Meet the HP-33E
Congratulations!
Your HP-33E Programmable Scientific Calculator is a truly unique and
versatile calculating instrument. Using the Hewlett-Packard RPN
logic system, yo
ur calculator can s li ce through the most difficult equa-
tions with ease. It is without parallel:
As a scie
nt i fi c cal cu lator. The HP-33E features a multiple-entry
keyboard with each
of the ke ys controlling up to three separate
operations, ensuring maximum computing power.
As a pr ob l em -solving m ach ine. Following simple, step-by-step
in s tru c ti ons in the HP-33E Applications books, you can key in any of
dozens of programs from the areas of mathematics, statistics, games,
finance, surveying, and other fields and begin using your calculator.
Immediatel y.
As a personal pr ogra mm able calculator. The HP-33E is so ea sy to
program a
nd use that it requires no prior programming experience or
knowledge of mysterious programming languages. Yet even computer
expe rt s can appreciate the sop hi s ti cated programming features of the
calculator:
• 8 data storage
re gisters.
• 49 lines
of program memor y.
• Fully merged prefix and func ti on keys that mean more programming
power per line.
• Easy-to-use editing features for correcting and modify
in g programs.
• Powerful
un conditional a nd conditional branching.
• 3
le ve ls of subroutines.
And
in addition, the HP-33E can be operated from it s rechargeable
battery pack for complete portability, anywhere.
12

Meet the HP-33E 13
If you are new to HP calculators and their RPN logic system, you may
want to carefu ll y work through Solving Problems With Your Hew/ell·
Packard CalclIlator before
co nsulting this handbook. Even if you
already own another
HP calculat or, you will find some new features in
the problem solving book.
Now l et's take a closer look at your calculator to see how easy it is to
use, whetherwe so lve a problem manually or use its programming power
to so lve the problem automatically.
Manual Problem Solving
Before proceeding you shou ld be comfo rtable solv ing problems
manually. If not, referto the Getting Started section of Solving Problems
With Your Hewlett-Packard Calculator.
To see the close relationship between the manual solution to a problem
and a programmed so lution, let 's solve a problem manually, and then use
a program to solve the same problem and others like it.
If you were to calculate the surface area of a sphere, you would use
the formula A =
1Td
2 where:
A is the surface area of the sphere.
d is the diameter of the sphere.
1T is the va lu e of pi, 3.14 1592654.
Exa mple : Ganymede, one of Jupit er's
12 moons, has a diameter of 3,200
miles. You can use the calculator to
manually compute the surface area
of
Ganymede. Merely press the following
keys
in order.

•
14
Meet the HP-33E
Keystrokes
3200
000
OO
~
o
Display
3,200.
10,240,000.00
3.1416
32,169,908.78
Diameter
of
Ganymede.
Square
of
the diameter.
The quantity
1T.
Surface area
of
Ganymede
in
square miles.
Programmed Problem
Solving
Arter calculating the surface area
of
Ganymede, suppose you decided
you wanted to calculate the surface area
of
each moon. You could
repeat the procedure you used for Ganymede
12
times. using a dif·
ferent diameter
d
each
lime.
However, an easier and
fa
ster method is
to create a
program
that will calculate the surface area
of
any sphere
from its diameter rather than pressing all the keys for each moon.
To
calculate the area
of
a sphere using a program, you should first
write the program, then
yo
u must
load
the program into the calculator,
and finally you
rut!
the program to calculate each answer.
Writing
the
Program.
You have already written it! A program
is
nothing more than the series
of
keystrokes you would execute to solve
the problem manually.
Loading
the
Program.
To
load the keystrokes
of
the program into the
calculator:
I. Slide the PRGM-RUN switch
""""~RUN
to PRGM
(program).
2. Press
fficl.I
AR§
to clear program memory.
3. Press the following keys
in
order. (When you are loading a pro-
gram, the display gives you infomlation that you will find useful
later, but which you can ignore for now.)
Keystrokes
OO0
J
OO
~
o
IGTOIOO
These are the same keys you pressed to
solve the problem manually.
Returns the calculator to top
of
program
memory and halts execution. The program
can then be run again with new data.
The calculator will now remember this keystroke sequence. -
...

Meet the HP-33E 15
Running the Program. To run the program to find the area
of any sphere from its diameter:
I. Slide the PRGM-RUN switch """""'RUN to RUN.
2. Press [!]IRTN I 10 sel calculator to top of program memory.
3. Key in the va lue of th e diameter.
4. Press IR IS I (run/stop) to run the program.
When you press IRIS It the sequence of keystrokes you loaded is auto-
matically executed by the calculalOf, giving you the same answer you
would have obtained manually.
For examp le , 10 calculate the surface area of Ganymede with a diameter
of 3.200 miles:
Keystrokes
3200
IRIS I
Display
3,200.
32,169,908.78 Square miles.
With the program you have loaded, you can now calculate the surface
area of any of Jupiter's moon s- in faci . of all Y sphere-using it s
diameter. Leave the calculator in RUN mode and key in the diameter
of each sphere for which you want the surface area, then press IA/S I.
For example, compute the surface area of Jupiter"s moon 10 with a
diameter
of 2,3 IO miles.
Keystrokes
2310 I RISI
Display
16,763,852.56 Square miles.
Now compute the surface areas for the moons Eur
opa, diameter
1,950 miles, and Callisto, diameter
3,220 miles.
Keystrokes
1950 IR IS I
3220 IRIS I
Display
11,945,906.07
32,573,289.27
Area of Europa in square
miles.
Area
of Ca lli sto in square
miles.
Programming is
that easy! The calculator remembers a series of
keystrokes and then executes them whenever you wish. In fact, your
HP·33E can remember up to
49 separate operations (a nd many more
keystrokes since many operations require two or three keystrokes).

Section 2
Specific Features of the HP-33E
Most of the features found on the HP-33E are discussed in Solvillg
Problems With Your Hewlett-Packard Calculator. However, seve
ral
features unique to the HP-33E (or new to HP calculators) are discussed
in the following pages.
Self-Check Routine
Your new He wlett-Packard calculator is loaded with features that make it
easy to use and give you co nfidence that the answers you calculate are
right, every time. The self-check routine, a feature found on many
sophisticated electro
ni c instrume nt s and computers, was designed for
just those reasons. We
don't expect you to ever have a problem with
your calculator, but if you think that it isn '(operating properly, try thi
s:
Keystrokes
ISTO IIENTER. I Display
-8 ,8,8,8,8,8,8,8,8,8
The display shown above will appear if your calculator is operating
properly. Press any key to clear the display back to zero. If your
calculator is not operating properly, your display will show Error 9
or an erroneous di splay. This tells you that a problem exists in the
calculator
's circuitry and you shou ld send it in for service (refer to
Sh ipping In structions in this owners handbook ). Pressing any ke y will
replace the Error 9
in the display with a number that tells a Hewlett-
Packard Service Engineer which circuit
in th e calculator is at fault.
That's right, the calculator not o
nl y tells you it's having problems, it
tells
us where the problem is, so we can fix it as quickly and inexpen-
sively as pos
si ble and return it to you without delay.
Note: Using the self-check routine causes all memory to be
cleared, including the stack, data registers, and program
memory.
16