HP 35 Owner's Handbook Manual

HP-35
HP's interest
in
computation
extension
of
our tradition
al involvement in measure·
ment
problem
solving. At
an
early
date.
HP
recognized
the growing
need
for a family
of
computational
products
uniquely designed
for
ease of
interface
with
scientific
instrumentation.
In
1966
we
in t
roduced
the
fir st digital
minicompute
r
specifically designed 10
meet this
need.
Soon
after,
we
f
ollowed
up with
our fir
St
programmable calcu lator .
Fr
om
these
modest
beginni
ng<;.
HP
has
now
become
an
acknow
ledged leader in the field
of
co
mputational
problem
solving. Over
10,000
HP programmab
le cal·
culators
and
more
than 3000
HP
digital
compu
ters are
now
at
work
in
a wi
de ran
ge
of scientific. industrial,
and
educational appl i
cations.
Their effectiveness is
fu
rther
enh
anced
by
a
comple
te line of peripherals -
ranging fr
om
digital
tape
and
disc drives
to
card and
tape
readers, printers,
and
plotters.
Now we've
coupled
our
experience in scientific
pro
b-
lem solving
and computatiooal
technology
to
brin g
you
a
new
dimensio n in personal
computing
- -
the H
p·35
Pocket
Calculat
or.
HEWLETT
i PACKARD
lUll
~
II
II
~
II
II
II
iii
iii
II
11
0
11
11
0.
• •
@
6
III
7
--..!L.J.
~
4
5
~
@
II
L!-
ei..;
..
0
DISPLAY
~
POWER
ON-OF F
SWITCH
@
FUNCTION
KE
YS
0
CONT
ROL
KE
YS
0
MEMORY
KEYS
(i)
ENTRY
KEYS
f)
CLEAR KEYS
(i)
A
RITH
MET
IC KE YS
HP-35
HEWLETT.PACKARD
10900
WOLFE
ROAD,
CUPERTINO,
CALIFORNIA,
95014
FORE
WO
RD
To
g,~e
you
more
computing
power,
your
HP·35
works
in
a
consistent
and
natural way
that
may
be
slightlv differ·
ent from
pre~iou
s
calculators
you
have
operated.
So
even
if
you
are
an
eNd
hand
at
using calcuiatOfs,
you
will find
it
worthwhile
to
read this
little
book.
Beginners,
too.
will
find
the
step
bV
step
explanation
easy
to
follow.
S
HIRT
POCKET
PO
WER
Our object
in
developing the Hp
·35
was
to gIve
you
a hi(fl
preciSIon
portable
electronic
slide rule. We
thou~""II
you'd
like
to
have
something
only
ficllonal
heroes
like James
Bond, Walter
MitIY
or
D,ck Tracy
are
supposed
to
own.
The HP·35 has far
more
com
puting
power
than
previous
pocket calculators. Its
ten
digit accuracy exceeds the
precIsion
to
which
most
of the phYsical
connants
of the
universe are known. It wil l handle
numbers
as small as
10-
99
and
up
to
10
99
.
Jnd
au
toma
tically places the
decimal
point for
you
. It
is
the first p
ocket
cal
culato
r to
provi
de YOU
with tran:;.cendental f
unctions
like logarithms
and sines
and
cosines .
The
operational
$lack
and
the
reverse "Pol i
sh·'
(Lukasiewicz)
notation
used
in
the HP.35
are the
most
efficient way
known
to
computer
:;.cience
for
evaluating m!lIhematical expressions.
The HP·35 was designed with
yOU,
the
user,
In
mind.
We
spent as much time
on
the
keyboa
rd layout.
on
the ch
Oice
of functions,
and
on
the styling as we did
on
the
electronics.
The
speed
and
conveni ence with whi
ch you can arrive
at
a
Solution
to a problem
is
unparalleled . V
ou
will find
that
fewer mistakes
occur
when
computations
are easier
to
make . Y
ou
will also find yoursei f performing calculations
you
did nOt
do
bef ore. They fall
into
Thr
ee
categor
ies:
firsT,
Those
calculations
in
your
own field
that
were
avoided in favor
ot
an
educated
guess. The ability
to
perlorm
complex
calculations
whereV(!r you
are and
what
-
ever
me
situation
will
enhance
your
prolessional staTure.
The
second
category consists of calculations indirectly
related
to
your
profession -
computing
the
return
on
an
inveslment, reconciling
your
bank
account,
pursuing
your
hobby
with professional precision,
etc.
The last categOfY
contains
thO$!!
expioratOfY calculations t
hat
you
do
for
lun.
They
arise
when
someone
asks
"Old
you
know
...
?".
For
example,
did
you
know
thai one cubic
mile of air weighs
more
than 5 million tons?
Did
you
know
that
a man
running
a 4--minute mile
turns
100 yards in a
little
more
man
1
3.6
seconds?
Did
you
know
that
355
/ 1
13
is
an
excellent
approxi-
mation
to
n?
ii
Why
not
check
and
see just
how
close
356/113
does
approximate
11?
Although
the
rest
01
this
manual must
be
read,
JUSt
between
the
IWO
of us,
you
can't
hurt
Ihe
calculator
by sliding
the
power
switch
to
ON
and
pressing
a lew keys,
To
check
the
appr
oxima
tion, key
in
355,
then
press
IDJiiIl
and
key in
the
denominator,
113, N<m press
a
to
gel Ihe
quolienl,
Theapproximation
is
n<min
the
display, Let
us
now
subtract
the
Irue value
of
11
!to
len
significant digits)
from
the
appr
oximatio
n.
Press @
and
11:1
It's
closer
than
one
would
think
12.66 x
10-7).
To
f,nd
the
percent
error,
divide
thos
difference
bv
11
and
mu ltiplv by 100.
(@'
1:1
' 100, f3 ), We n
ow know
tha
t 355/113
approximates
71'
to within
8.47 millionths
of
one
percent,
!It
makes
22n
look
pretty
5a(U T
wo
final
comments:
<D
it
's
easy
to remember the
approximation
Deca
use it
,s
made
by
dupic
ating
the first three
odd
numbers
and
insert,ng a
div'sion
si!1l
in
the
middle:
113}355;
®
you
have
just
evaluated
the
expression
1355/1 13 -
7l'l
X
1100/71').
Congratulation
sl
By
the
way,
switch
the
calculator
off
and
put
,t
iNlay,
(You
are
nOt
supposed
10
know
how
to
work
il
, , .
vet).
iii
TABLE OF
CONTEN TS
SECTION
1
I
NSTANT AR
ITHM
ETIC
SERIAL
CALCULA
TI
ONS
3
SUMS
OF
PRODUCTS
4
PRODUCTS
OF
SUMS
5
THE
OPERATIONAL
STACK
6
SOME
SIMPLE
PROBLEMS
8
POWERS
OF
NUMBERS
9
PROBLEMS
IN FINANCE
"
BIG
AND
LITTLE
NUMBERS
"
NEGATIVE
NUMBERS
"
MORE
MEMOR
Y
"
REARRANGING
THE
STACK
'6
LOGARITHMS
AND
TRIGONOMETRY
"
SECTlON
2
OPERATING
LIMITS
"
ACCURACV
"
OVERFLOW
&
UNDERFLOW
22
SC
IEN
TIF IC
NOTATION
22
IMPROPER
CALCULATIONS
22
TEMPEnATUnC
RANGES
23
BATTERY
OPERATION
23
RECH
ARGING I A.C.
OPERATION
24
BATTERY
PACK
REPLACEMENT
26
ACCESSORIES
27
S
TANDARD
27
OPTIONAL
27
SERVICING
28
LOW POWE
R
28
BLANK
DISPLAV
28
WARRANTY
28
IN
WARRAN
TV 28
O
UT
OF
WARRANTV
29
SHIPPING INSTRUCTIONS
29
SEC
TIO
N 3
SAM
PLE
PROB
LE
MS
30
SOLUT
IO
NS
32
AN ALGORITH
M
34
Hewlett-Packard
ships
your
HP-
35
lully·assembled,
with
banery
pack
10
place,
and
ready
10
operale.
W"h
the
battery
charger
disconnected,
slide
the
power
SWItch
to
ON.
You
should
see a
~ero
and a decimal
point
dIsplayed.
If any Other
indication
is
present,
~ee
SERVIC lNG, page 28.
seC TION 1
I
NSTANT AR
ITHM
ETI
C
In
the HP-35,
arithmetic
aIlswers appear immediately
after pressing a
G ,
1:1
,
E3
or
G key.
As
in
on ndding
machine,
where
the a key
ad
ds the last
entry
to
what.
ever
is
alrendy in the machine, and the
1:1
key
subtracts
this
la'St
entry,
so
also, in the HP·
35,
the
13
key multi.
plu~s
what's
in the
machine
by
the
last
entry
and
the G
key dIvides
by
the
lasl
entry.
BUI
at the
start
we've got
to
gel the li($t
number
into
the
machine.
To
do
this
you
key in Ihe first
number
and
press
Now key
in
the
ne xt
number and
then
press
Try these
examples.
It
is
no t necessary to clear th e
machine
between
problems,
but
if
you
make
an
entry
mistake, press m jCL
EAR
XI
and
enter
the
number
correctly.
Toocld3to12
To
subtract
3 from
"
Press
'"
Press
'"
OJ
1.
OJ
lID
12
.
lID
12
.
am
12
.
am
12
.
@)
3.
@)
3.
II
15
.
iii
9 .
1
2
To
multiply 3 times 12
To
d,v,de 3 irllO 12
Press
s..
Prcss
""
CD
CD
lID
"
lID
" .
EliIl
" .
EliIl
"
III
3
III
3.
EI
36.
1:1
,
Notice
that
In
thc
four
examples:
BOlh
numbers
!operands) are in
the
machine
before
you
press D,
1:1
,
EI
or
=
Pressing
the
D ' = '
EI
or
= key causes
the
addll;on,
subtraction,
mUltiplicatIon
or
division
10
oc.:::ur
immediately
and
the result
to
be
d,splayed.
The
EliD
key repeats the
numbcr
displayed to a
socond inlernal register
1a
ploce Ihat holds
numbers!.
The
dIsPlay blinks
to
show
you
Ihis has
happcncd.
When
you
now Cnter a new
number,
the Hp·35
automa
tically clears
the display
01
the
old
one.
But
if
you
wanled
10
double
the old
number,
you
don't
need
to
enter
it again,
just
press D
after
the !mIlD Or,
if
you
wanted
10
square It, Just press
EI
.
Try
these examples.
To
double
3
Tosquorc
3
Press
s."
Press
s."
III
3
III
3
EliIl
3
EliIl
3
D
6
EI
9
SECTION
1
SERIAL
CALCULAT
ION
Whenever a
new
number
is
enlered
aher
any
calculallOn.
the
Hp·35
performs
an
automat
ic
immJ
before
iIC-
ceptlng the
new
number.
This
means
thut
the
previous
answer
und
Ihe
new
ent
ry
are
both
in
posilion
for
the
next
arithmetic
o!X]ration
.
Find
the sum
of the
first
five
odd
numbers
Press
""
(jJ
EDl
1.
@
3.
II
4.
lID
5 .
II
9.
II)
7
II
16
.
lID
9
II
75
.
Find
the
product
of
the
first
five even
numbers
Pr
ess
""
®
,
EDl
,
[4]
,.
£I
8.
lID
6 .
£I
".
lID
8
£I
3"
(jJ1Q)
, 0
£I
3840
If
you
~re
calculat
ing ((2 I 3
)14 + 5)
,6
by Ilarld.
you
wo
uld
fir
st
add 2 and
3.
then divide the
sum
by
4.
add
5
to
th
e
quotient
and
finally
mu
ltiply by
6.
This
is
exocTly
whaT
you
do
on
the
HP-35:
3
((2 +
3)/4
+ 5) -6
Pre
55
S
oo
Comments
III
2.
I!mIl
2.
@]
3.
a
5.
Add
2 and 3
(!)
••
CiI
, .
25
Div,de
~he
sum
by
<1
lID
5.
a
6.
25
Add 5 to
the
quotient
lID
6.
EI
37
. 5
Multiply
by
6
SU
MS
OF PRODU CTS
Suppose
you
sold
12
,tems
at
$1
.58
each.
8
'tems
at
52.67
each
and
16 '
tems
at SO.54 each. Tl,,,
lul<ol
,.,
price
'S
(12 x 1
.58)
+ (8 x 2.671
~
(16 x 0.541
Your
HP·
35
lets
you find the answer
without
writing
down or
storing
intermedia
te
results.
Press
Soo
Comments
"
" .
I!mIl
" .
1.
58
L
58
EI
" .
96
(12 x 1.581
••
I!mIl
••
2.67
2.
67
EI
"
36
(8 x 2.671
4
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