HP HP-67 User guide

HEWLETT-PACKARD
HPO7
Owner's
Handbook
and
Programming
Guide
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“The
success
and
prosperity
of
our
company
will
be
assured
only
if
we
offer
our
customers
superior
products
that
fill
real
needs
and
provide
lasting
value,
and
that
are
supported
by
a
wide
variety
of
useful
services,
both
before
and
after
sale.”
Statement
of
Corporate
Objectives.
Hewlett-Packard
When
Messrs.
Hewlett
and
Packard
founded
our
company
in
1939,
we
offered
one
superior
product,
an
audio
oscillator.
Today,
we
offer
more
than
3,000
quality
products,
designed
and
built
for
some
of
the
world’s
most
discerning
customers.
Since
we
introduced
our
first
scientific
calculator
in
1967,
we've
sold
over a
million
world-wide,
both
pocket
and
desktop
models.
Their
owners
include
Nobel
laureates,
astronauts,
mountain
climbers,
businessmen,
doctors,
students,
and
housewives.
Each
of
our
calculators
is
precision
crafted
and
designed
to
solve
the
problems
its
owner
can
expect
to
encounter
throughout
a
working
lifetime.
HP
calculators
fill
real
needs.
And
they
provide
lasting
value.

HEWLETT@PACKARD
HP-67
Programmable
Pocket
Calculator
Owner’s
Handbook
and
Programming
Guide
September
1976
00067-90011
Rev.
B
9/76
Printed
in
Singapore
©
Hewilett-Packard
Company
1976

Contents
The HP-67
Pocket
Programmable
Calculator
.......
8
FunctionKey
Index
.........
...
it
8
The
HP-67
...
o
10
Programming
Key
Index
..............
.
...
..
10
Meet
the
HP-67
...................ccciiiiiiiiin...
15
Manual
Problem
Solving
....................
...
...
16
Running
a
Prerecorded
Program
.......................
17
Your
OWN
Program
.
......vuieeneenei
e
21
Using
this
Handbook
.................................
24
Part
One:
Using
Your
HP-67
Pocket
Calculator.......
25
Section
1:
Getting
Started
.........................
27
DiSplay
.
.o
27
Keyboard.
......
...
27
Keying
In
Numbers
...........
..
...
28
Negative
Numbers
...................
...
... ... ...
...
29
Clearing
.
...ooo
e
29
Functions
.
...
30
One-Number
Functions
................c.coveeeinnn..
31
Two-Number
Functions
.....................oooonn.
32
Chain
Calculations
...
34
A
Word
aboutthe
HP-67
..............................
39
Section
2:
Display
Control
.........................
4
Display
Control
Keys
............coiiiiiiiineenenn.ns
42
Display
Number
Changes
...........................
42
Scientific
Notation
Display
.......................o...
43
Fixed
Point
Display
.
...........coovviiiiiiiiii...
44
Engineering
Notation
Display
........................
45
Automatic
Display
Switching
...........................
47
Keying
In
Exponentsof
Ten
...........................
48
Calculator
Overflow
.
...
50
Error
Display
.
.......ooiiii
e
50
Low
Power
Display
...........ccooiiiiiiiiiiiiinns
51

Section
3:
The
Automatic
Memory
Stack
.........
53
The
Stack
.
...
e
53
Initial
Display
.
...t
53
Manipulating
Stack
Contents
..........................
54
Reviewingthe
Stack
.
...............
..
o
L
54
Exchangingxandy
.......
...
55
Automatic
Stack
Review
..............
... ...
i
56
Clearingthe
Display
...,
57
The
KOY
v
et
58
One-Number
Functions
and
the
Stack
..................
60
Two-Number
Functions
and
the
Stack
..................
60
Chain
Arithmetic
.........
...
i
i
62
Order
of
Execution
.............c
i
66
LAST
X
ittt
67
Recovering
from
Mistakes
...........................
67
Recovering
a
Number
for
Calculation
.................
68
Constant
Arithmetic.
..........
.. .o
o
i
68
Section
4:
Storing
and
Recalling
Numbers
........
71
Storage
Registers
...........
...
i
7
Storing
Numbers
........
...
...
i
72
Recalling
Numbers
......................coiiiin...
72
The
I-Register
...,
73
Protected
Secondary
Storage
Registers...............
74
Automatic
Register
Review
...............
...
...
.
...
77
Clearing
Storage
Registers
............................
79
Storage
Register
Arithmetic
...........................
81
Storage
Register
Overflow
..............
...
...t
83
Section
5:
Function
Keys
..........................
85
Number
Alteration
Keys
.............coiiiiiiiinn.
85
Roundinga
Number
...................
...
...
..
85
Absolute
Value
.
............
.o
86
Integer Portion
of
a
Number
.........................
86
Fractional
Portion
of
a
Number
......................
87
Reciprocals
.
...
i
87
Factorials
...
88
Square
ROOS
.
.
..o
o
et
e
89
SQUANNG
.«
.ttt
89
USING
Pi.
.o
e
89
Percentages
...........oiiii
i
90
Percentof
Change
............coiiiiiiiin.n.
91

Trigonometric
Functions
.
...t
92
Degrees/Radians
Conversions
.
......................
92
Trigonometric
Modes
.
...t
93
Functions
.......
...
.o
i
93
Hours,
Minutes,
Seconds/Decimal
Hours
Conversions
..
94
Adding
and
Subtracting
Time
and
Angles
.............
96
Polar/Rectangular
Coordinate
Conversions
..............
98
Logarithmic
and
Exponential
Functions
................
103
Logarithms
.......
...
i
103
Raising
NumberstoPowers
.
.......................
104
Statistical
Functions
...........
...
...
il
107
Accumulations
.
......
...
107
Mean
..
...
.
111
Standard
Deviation
.
...
113
Deleting
and
CorrectingData
.
......................
116
Vector
Arithmetic
.
..........
..o
i
118
Part
Two:
Programming
the
HP-67
...................
121
Section
6:
Simple
Programming
..................
123
What
Isa
Program?
.
........
...
i
124
Loading
a
Prerecorded
Program
......................
124
Stopping
@
Running
Program
.
...............coooau...
127
Looking
at
Program
Memory
.........................
127
KeYCOES
..ttt
129
Default
Functions
............
..o
i
131
Problems
.
...
..
e
131
Clearinga
Program
...........ccciiiiinnnnennnnnnnn.
132
Creating
Your
Own
Program
.............cccvvvenen...
133
The
Beginning
of
aProgram........................
133
Endinga
Program
.......
...
134
The
Complete
Program
...................ccovuenn.
134
Loadinga
Program
...
134
Running
a
Program
..............ciiiiiiiiiieannn.
137
Searchingforalabel
..............................
137
Executing
Instructions
................
...
..
..
138
Labelsand
Step
000
...........cccovvvviiiiiiinn...
140
Flowcharts
.......
...
...
.
141
Problems
.
...
.
144
Section
7:
Program
Editing
......................
147
Nonrecordable
Operations
......................cc..un
147
Pythagorean
Theorem
Program
.......................
149

Initializinga
Program
..........
...
...
o
i
150
Running
the
Program
...........
...,
151
Resettingto
Step
000
..........
...,
151
Single-Step
Execution
of
a
Program
...................
152
Modifying
a
Program
...
154
Single-Step
Viewing
without
Execution.................
155
Goingtoa
Step
Number
......................oalL.
157
Stepping
Backwards
through
a
Program
...............
158
Running
the
Modified
Program........................
160
Deleting
an
Instruction
.................
...
..
161
Problems.
...
...
164
Section
8:
Interrupting
Your
Program
...........
169
USING
.
oottt
e
e
169
PausinginaProgram
.................
...l
172
Pausing
to
View
Qutput
.
......................o0.
172
Pausing
forlnput
.
...
175
Section
9:
Branching
.............................
179
Unconditional
Branching
and
Looping
.................
179
Problems
.
...
...
182
Conditionals
and
Conditional
Branches
................
185
Problems
.
...
...
..
192
Section
10:
Subroutines...........................
197
Routine-Subroutine
Usage
...........................
204
Subroutine
Limits
.
..........
206
Problems
.
...
...
208
Section
11:
Controlling
the
I-Register
............
213
Storinga
NumberinI................................
213
Exchangingxand
I..........
..
...
it
214
Incrementing
and
Decrementing
the
I-Register
.........
215
Problems
.
...
.o
220
Section
12:
Using
the
I-Register
for
Indirect
Control
................................
223
Indirect
Display
Control
............c.ccooviiiiiea...
225
Indirect
Storeand
Recall
.............................
229
Indirect
Incrementing
and
Decrementing
of
Storage
Registers
.
...........
...
il
238
Indirect
Control
of
Branches
and
Subroutines...........
238
Rapid
Reverse
Branching
............................
244
Problems
.
...
...
.
250

Section
13:
Flags............c.ocoviiiiiiiii.,
255
Command-Cleared
Flags.
..
........ccovviiiiiiniinnn.
256
Test-Cleared
Flags
...,
256
DataEntryFlag
..o
260
Problems
.
...
...
266
Section
14:
Card
Reader
Operations
.............
271
MagneticCards
.
...
271
Program
Cards
...t
272
Recording
a
ProgramontoaCard
..................
272
Reloading
a
Recorded
Program
froma
Card
.........
273
Merging
Programs
...t
274
Protectinga
Card
.........
...
i
278
Markinga
Card
............
i
278
DataCards
...
279
Recording
DataontoaCard
........................
279
Loading
DatafromaCard..........................
281
Merged
LoadingofData
...........................
286
Pausingto
ReadaCard
.....................covennn.
292
Section
15:
The
HP-67
and
the
HP-97:
Interchangeable
Software
..............
299
KeyCodes
.
...
..o
e
299
Print
and
Automatic
Review
Functions
.................
302
A
Word
about
Programming
..........................
305
Appendix
A:
Accessories
.......................0.
306
Standard
ACCESSOMNES
.
.........vveieiieeeinnniinnns
306
Optional
ACCeSSOores
..........ovviiiiniiiiieneenns
306
Appendix
B:
Service
and
Maintenance
...........
310
Your
Hewlett-Packard
Calculator
.
.....................
310
Battery
Operation
...........
...
..o,
311
Recharging
and
AC
Line
Operation
...................
311
Battery
Pack
Replacement
.................
...
...
...,
313
BatteryCare...........oo
i
315
Magnetic
Card
Maintenance
..........................
315
SEIVICE
.
ittt
e
316
Low
Power
.....
..o
316
Blank
Display
..
....ooiiii
316
Blurring
Display
.
.
...
317
Improper
Card
Read
Operation
.....................
317
Temperature
Range
...,
318

Warranty
.
...
318
Full
One-YearWarranty
.
...............oiiiinnnnn
318
Obligation
to
Make
Changes
.......................
318
Repair
Policy
...
318
Repair
Time
...
318
Shipping
Instructions
...............
..o
oo
318
Shipping
Charges
...,
319
Further
Information
.
..................coo
i
319
Appendix
C:
Improper
Operations
...............
320
Appendix
D:
Stack
Lift
and
LAST
X
............
322
Stack
Lift
.
...
322
LAST
X
oo
323
Appendix
E:
Calculator
Functions
and
Keycodes
...................cciiiinn,
324
General
Index
.............c.cociiiiiiiiiiinin...
333
Lunar
Module
model
on
page
122
courtesy
of
NASA,
AMES
Research
Center.

gister.
Used
to
separate
numbers
Percentage
()
Computes
x%
of
y
X-register
(page
91).

The
HP-67
Automatic
Memory
Stack
Registers
T
AT
Program
Memory
Z.o
]
000
Yoo
EETE
001
84
002 84
003
84
Displayed
X.
. .
...
004
84
005
84
W/PRGM
BN
RUN
‘
V\_
220
84
g
g
221
84
—
222
84
LAST
X
.
Q
,
223
84
B,
224
84
=
!
ENTER4
|
2
W/DATA
MERGE
Addressable
Storage
Registers
Primary
Registers
(i)
Address
Lo
R
)2
Ro[
]
23
Re[—_]22
Ra[______]
21
Protected
R[]
20
Secondary
Registers
(i)
Address
19
18
17
16
15
14
R
Jo
Re[[
7
1o

Storage
i)
Store.
Followed
by
address
key,
stores
displayed
number
in
primary storage
reg-
ister
(R,
through
Rg,
Ra
through
Rg,
)
specified.
Also
used
to
perform
storage
reg-
ister
arithmetic
(page
72).
{8
Recall.
Followed
by
address
key,
recalls
number
from
primary
storage
register
(R,
through
R,
Ra
through
Re,
)
specified
into
the
displayed
X-register
(page
72).
CL
REG]
Clears
con-
tents
of
all
primary
storage
registers
(R,
through
R,
R,
through
Re,
1)
to
zero
(page
79).
Recalls
num-
ber
displayed
before
the
previous
operation
backinto
the
displayed
X-register
(page
67).
Primary
ex-
change
secondary.
Exchanges
contents
of
primary
storage
reg-
isters
R,
through
R,
with
contents
of
pro-
tected
secondary
storage
registers
Rg,
through
Rg,
(page
74).
Automatic
reg-
ister
review.
Flashes
contents
of
storage
registers
in
order
R,
through
Ry,
R4
through
Re,
I,
register
address
appears
in
display
preceding
con-
tents
of
storage
reg-
ister
(page
77).
Display
Control
(Fx]
Selects
fixed
point
display
(page
44).
Selects
scien-
tific
notation
display
(page
43).
ENG|
Selects
engi-
neering
notation
dis-
play
(page
46).
Followed
by
number
key,
selects
number
of
displayed
digits
(page
42).
Mathematics
N!|
Computes
factorial
of
number
in
displayed
X-register
(page
88).
Computes
re-
ciprocal
of
number
in
displayed
X-register
(page
87).
Computes
square
of
number
in
displayed
X-register
(page
89).
(=)
Computes
square
root
of
number
in
dis-
played
X-register
(page
89).
Places
value
of
pi
(3.141592654)
into
displayed
X-register
(page
89).
Arithmetic
operators
(page
32).
9
Statistics
Accumulates
numbers
from
X-
and
Y-registers
into
sec-
ondary
storage
reg-
isters
Rs,
through
Rsg
(page
107).
Z-|
Subtracts
x
and
y
values
from
storage
registers
Rs,
through
Rs,
for
correcting
or
subtracting
P54
ac-
cumulation
entries
(page
116).
(&)
Computes
mean
(average)
of
x
and
y
values
accumulated
by
(page
111).
(s)
Computes
sample
standard
deviations
of x
and
y
values
accumulated
by
©
(page
113).
Polar/Rectangular
Conversion
Converts
x,
y
rectangular
coordi-
nates
placed
in
X-
and
Y-registers
to
polar
magnituder
and
angle
6
(page
99).
D
Converts
polar
magnituder
and
angle
6in X-
and
Y-registers
to
rectangular
x
and
y
coordinates
(page
100).
Flags
SF|
Set
flag.
Followed
by
flag
designator
(0,
1,
2,
or
3),
sets
flag
true
(page
255).
CF|
Clear
flag.
Follow-
ed
by
flag
designator
0,
1,
2,
or
3),
clears
flag
(page
255).


Programming
Key
Index
PROGRAM
Mode
Automatic
RUN
Mode
W/PRGM-RUN
switch
setto
W/PRGM
wiprGM
[T
RUN
All
function
keys
ex-
cept
the
5
default
keys
and
the
functions
shown
below
are
load-
ed
into
program
memory
when
pressed.
Program
memory
con-
tents
recorded
upon
magnetic
card
when
card
passed
through
card
reader.
PRGM-RUN
switch
wrprGm
I
run
set
to
RUN.
Function
keys
may
be
executed
as
part
of
a
recorded
program
or
individually
by
pressing
from
the
keyboard.
Input
numbers
and
answers
are
displayed
by
the
calculator,
except
where
indicated.
Data
or
instructions
loaded from
magnetic
card
into
calculator
when
card
is
passed
through
card
reader.
Active
keys:
In
PROGRAM
mode
only
five
operations
are
active.
These
opera-
tions
are
used
to
help
record
programs,
and
cannot
themselves
be
recorded
in
program
memory.
Pressed
from
keyboard:
3
ainfajcia
User-definable
keys.
Cause
calculator
to
search
downward
through
program
memory
to
first
desig-
nated
label
and
begin
execution
there.
-
(page
137).
Executed
as
a
recorded
program
instruction:
Label
designators.
When
preceded
by
,
define
begin-
ning
of
routine.
When
,
cause
calculator
to
stop
execution,
search
downward
through
program
memory
to
first
desig-
nated
label,
and
re-
sume
execution
there
(page
133).
BEEEE
Label
designators.
Operate
exactly
as
label
desig-
nators
listed
above,
except
they
are
pre-
ceded
only
by
(page
133).
10

PROGRAM
Mode
Automatic
RUN
Mode
Active
keys:
°)
Go
to.
Followed
by
(-]
(n]
(n) (0]
posi-
tions
calculator
to
step
n
n
n
of
program
memory.
No
instruc-
tions
are
executed
(page
157).
Pressed
from
the
keyboard:
(519
Go
to.
Followed
by
()
(0]
(n] (n)
sets
calculatortostepnnn
of
program
memory
without
executing
in-
structions.
Followed
by
label
designator
(I3
through3@,
through
(e],
(o)
through
(9]) or
([,
causes
calculator
to
search
downward
through
program
memory
to
first
des-
ignated
label
and
stop
there
(page
179).
8
[GsE)
Goto
subroutine.
Followed
by
label
designator,
(3
through
@,
(3
through
C]
@
through
(9J,
(@)
causes
calculator
to
start
executing
in-
structions,
beginning
with
designated
label
(page
207).
[RTN]
Return.
Sets
calculator
to
step
000
of
program
memory
(page
152).
Executed
as
a
recorded
program
instruction:
|
Go
to.
Followed
by
label
deSIQnator
(I3
through
{2
D
through
E]
@
through
(9))
or
(@,
causes
calculator
to
stop
execution,
search
through
program
memory
to
first
des-
ignated
label,
and
re-
sume
execution
there
(page
179).
(Gs8)
[Gsef]
Goto
subroutine.
Followed
by
label
dessgnator
(€
xthrough
through
(e),
@
through
(9))
or
causes
calculator
to
search
through
pro-
gram
memory
to
first
designated
label
and
execute
that
section
of
program
memory
as
a
subroutine
(page
197).
[RTN]
Return.
If
exe-
cuted
as
a
result
of
pressing
a
label
desig-
r
or
execution
of
a
‘
instruction,
stops
execution
and
returns
control
to
keyboard.
If
executed
as
a
result
of
a
(G55
instruction,
re-
turns
control
to
next
step
after
the
(G5E)
instruction
(page
134).
11

PROGRAM
Mode
Automatic
RUN
Mode
Active
keys:
[:]
Clear
pro-
gram.
Clears
program
memory
to
all
instructions,
sets
calculator
to
step
000,
clears
all
flags,
and
specifies
FIX
2
and
DEGREE
modes
(page
132).
(BST]
Back
step.
Moves
calculator
back
one
step
in
program
memory
(page
158).
E53
single
step.
Moves
calculator
for-
ward
one
step
of
program
memory
(page
155).,
Pressed
from
keyboard:
(Ciercy]
After
pre-
fix
key,
cancels
that
key.
After
other
keys,
does
nothing.
Does
not
disturb
program
memory
or
calculator
status
(page
147).
(BST]
Back
step.
Sets
calculator
to
and
dis-
plays
step
number
and
keycode
of
previous
program
memory
step
when
pressed;
displays
original
contents
of
X-register
when
released.
No
instruc-
tions
are
executed
(page
158).
Single
step.
Displays
step
number
and
keycode
of
cur-
rent
program
memory
step
when
pressed;
executes
instruction,
displays
result,
and
moves
calculator
to
next
step
when
released
(page
152).
Executed
as
a
recorded
program
instruction:
Stops
pro-
gram
execution
and
transfers
control
to
keyboard
for
1
second,
thenresumes
program
execution
(page
172).
(z0]
(x=0]
x>0}
x<0]
Conditionals.
Each
tests
value
in
X-regis-
ter
against
O
or
value
in
Y-register
as
indi-
cated.
If
true,
calcula-
tor
executes
instruc-
tion
in
next
step
of
program
memory.
If
false,
calculator
skips
one
step
before
re-
suming
execution
(page
186).
(F?]
If
flag
true.
Fol-
lowed
by
flag
desig-
nator
(0, 1,
2,
or
3),
tests
designated
flag.
If
flag
is
set
(true)
the
calculator
executes
the
instruction
in
the
next
step
of
pro-
gram
memory.
If
flag
is
cleared
(false),
cal-
culator
skips
one
step
before
resuming
exe-
cution.
[F?]
clears
flags
F2
and
F3
after
test
(page
255).
12

PROGRAM
Mode
Automatic
RUN
Mode
Active
keys:
(oEd
Delete.
Deletes
current
instruction
from
program
memory.
All
subsequent
in-
structions
moved
up
one
step
(page
161).
Pressed
from
the
keyboard:
Run/stop.
Begins
execution
from
current
step
of
program
mem-
ory.
Stops
execution
if
program
is
running
(page
169).
(oed
Atter
@
prefix
key,
cancels
that
key.
After
other
keys,
does
nothing.
Does
not
disturb
program
memory
or
calculator
status
(page
161).
Any
key.
Pressing
any
key
on
the
key-
board
stops
execution
of
a
running
program.
Executed
as
a
recorded
program
instruction:
Flash
X.
Pauses
to
display
contents
of
X-register
for
5
sec-
onds.
Used
to
write
down
answers
or
to
interface
programs
with
HP-97
Program-
mable
Printing
Calculator
(page
172).
Executed
as
no
operationin
HP-67.
Used
to
interface
pro-
grams
with
HP-97
Programmable
Printing
Calculator
(page
304).
Run/stop.
Stops
program
execution
(page
169).
13

e
{ii
aarA
r-m\“*"
!:%9;‘3342‘«""«
TR
e

Meet
the
HP-67
Congratulations!
With
your
purchase
of
the
HP-67
Programmable
Pocket
Calculator,
you
have
acquired
a
truly
versatile
and
unique
calculating
instrument.
Using
the
Hewlett-Packard
RPN
logic
system
that
slices
with
ease
through
the
most
difficult
equations,
the
HP-67
is
without
parallel:
As
a
scientific
calculator.
As
a
scientific
calculator,
the
HP-67
features
a
multiple-entry
keyboard
with
each
of
the
35
keys
control-
ling
up
to
four
separate operations,
ensuring
maximum
computing
power
in
a
pocket
instrument.
As
a
problem-solving
machine.
Anyone
who
can
follow
simple
step-
by-step
instructions
can
use
the
prerecorded
magnetic
cards
in
the
Standard
Pac
and
the
optional
application
pacs
from
the
areas
of
engineering,
mathematics,
finance,
statistics,
medicine,
and
many
other
fields.
Immediately!
As
a
personal
programmable
calculator.
The
HP-67
is
so
easy
to
program
and
use
that
it
requires
no
prior
programming
experience
or
knowledge
of
arcane
programming
languages.
Yet
even
the
most
sophisticated
computer
experts
marvel
at
the
programming
features
of
the
HP-67:
Magnetic
cards
that
record
data
or
programs—permanently.
26
data
storage
registers.
224
steps
of
program
memory.
Fully
merged
prefix
and
function
keys
that
mean
more
pro-
gramming
per
step.
n
Easy-to-use
editing
features
for
correcting
and
modifying
programs.
=
Powerful
unconditional
and
conditional
branching.
»
Three
levels
of
subroutines,
four
flags,
20
easily-accessed
labels.
w
Indirect
addressing.
15

16
Meet
the
HP-67
And
in
addition,
the
HP-67
can
be
operated
from
its
rechargeable
battery
pack
for
complete
portability,
anywhere.
Now
let’s
take a
closer
look
at
the
HP-67
to
see
how
easy
it
is
to
use,
whether
we
solve
a
problem
manually,
use
one
of
the
sophisticated
prerecorded
programs
from
the
Standard
Pac,
or
even
write
our
own
program.
Manual
Problem
Solving
To
get the
feel
of
your
HP-67,
try
a
few
simple
calculations.
First,
set
the
switches
that
are
located
at
the
top
of
the
keyboard
as
follows:
Set
the
OFF-ON
switch
orf
Mo~
to
ON.
Set
the
W/PRGM-RUN
switch
weraM
l[[[Jrun
to
RUN.
To
solve:
Press:
Display:
s+6=1
B
EmR@e
[
8§
+2=4
|
7-4=3
300
&
B
PEDDH
&
9%x8=72
@ETE
()
72.00
<
=020
Sine
of
30°
=
0.50
SIN'
Now
let’s
try
something
a
little
more
involved.
To
calculate
the
surface
area
of
a
sphere,
the
formula4A
=
7d?
can
be
used,
where:
A
is
the
surface
area
of
the
sphere,
d
is
the
diameter
of
the
sphere,
ar
is
the
value
of
pi,
3.141592654.
Ganymede,
one
of
Jupiter’s
12
moons,
has
a
diameter
of
3200
miles.
You
can
use
the
HP-67
to
manually
compute
the
area
of
Ganymede.
Merely
press
the
following
keys
in
order:
@O
3200
Diameter
of
Ganymede.
10240000.00
Square
of
the
diameter.
The
quantity
.
32169908.78
Area
of
Ganymede
in
square
miles.
Press
Display
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