Novus 4510 User manual


DIRECTORY
.,
.i
.,
I
; I
I
il
.~
~;
page
2Getting Started
2Battery Installation
2
AC
Adaptor
3Keyboard Layout
3Operation
Display
Automatic Display Shutoff
Keying in
and
Entering Numbers
Correcting Mistakes
X Y Exchange
Change Sign Key
Entering"
4Performing Calculations
The Logic of Reverse Polish Notation
(RPN)
One-factor calculations
Trigonometric functions
Two-factor calculations
Chain calculations with two-factor functions
Chain calculations combining one and two-factor functions
7Memory
7Error Conditions
8Appendices
Appendix A -
RPN
and the Stack Principle
Appendix B - Some Examples
Mathematics
Engineering
Finance
Appendix C - Operating Limits
19
Warranty
-----_.
--~-
-

2
Getting Started
Turn youni',r'
US
Math'einaiid~n'>on
with the
switch the leftside ofthe calculator.
The
c
IRrn~i9~lly.cleared
and the
dl1'!?
shoW
0,
If It
>d()es
not, check
.
t(~e~'
·[scO'rin.ecled properly.
00
,;:
balterYinstallation).
',-"c"
»
,.
_.:_
,-,
,
..
0;.,',',.
,
,eaHery
Installation
>".' Your
NOVUS
Mathematician
is>:powered
by a
~Ii;':'
!,';9.voMra
nsistor
batiery'Whi~b'should
give you
about two' months of
npef<at!of\.
with normal
use.
The
Matnemal1'blan
will
sho'~;'1!
decimal point on
thee)(,treme!Jeft hand
side',€if.f1;\e
display
as
a
IciWhbatfer;-rndicator.,Althbwgh calculations can
stili
be
made while the low-battery Indicator
Is
,on,
the
bfltte~
,~hould,ber~placed
as
soon
as
'possible. Corltinued
,us6\Qn·a
weak battery may
result
in
inaccurat~
answe~
.•
':',
To
ch,ange
batteries, turn th;;'fi,achlne over, place
asmall coin
in
the Ilttle slot,
at
the top of the battery
door
and
gently
p.ulI
towarcj
y~!:"
The battery door
will slip out.
BE
Sl,I
E
THE
CHCULATOR
IS
TURNED
OFFE?,~
,Plb\CING
THE
BATTER'
,OR
CONNECl'I.NG'
>CHHE'
AC
ADAPTOR.
Then slip the bOtto,m'of )tie.bl:l)tery door back
in
pl~ce
qnd, squeez,lng
GENltY
on
the two prongs
.'
on
the door, snap
it
back,in
pJace.
'-:','."
,
,,'
,AC Adaptor
'''',~:,:,
••
X6u
cin
Use
your
Math~matlcill.n
on regular AC
,
.,'"
'~mains)cl{frent
by connectinIl'the
NOVUS
AC
i..', .;.adaptor'll->
thE!
jack
<i,\
tlil~t'\llf4%f
the machine.
;l'
'BE
SURE
YOUR
CIiI3S'~\..ATOR
18
TURNBD'OFF
.,p;,
_'
_',
..
"-
........
,
.•
"~
..
,.,
..
""
"....
..
__
..
~,,!'
..
','
...
",','
.r
....
",
,
BEFORE
CONNECTING
THE
ADAPTOR.
.~
:'-'-"",

.
I
;
f
~.
~
-11
~:
f
Keyboard Layout
Single function keys and the upper functions
on
double function keys have their functions defined
in
silver lettering above the key. They will
be
represented in this manual by D. Lower functions
on
double function keys have their functions
defined
in
yellow lettering below the key. They will
be
represented
in
this manual by parentheses.
To
access lower functions, press [E]then the
desired key. If you
accidental~uch
[E]when you
didn't want to, atouch of the
I.Q±J
key will cancel
the effect of the
[E]
key.
Operation
Display
The
NOVUS Mathematician will accept and
display any positive or negative number between
0.0000001
and
99999999. Any result larger than
99999999. will result in
an
overflow, indicated
by all zeros
and
decimal points being displayed.
Negative numbers are represented by aminus
sign just
to
the left of the number in the display.
Automatic Display Shutoff
To
save battery life, the NOVUS Mathematician
automatically shuts off the display and shows all
decimal points if no key has been pressed for
approximately
35
seconds.
No
data has been
changed and further entries or operations will bring
back the display. To restore the
iiSPliY
without
changing its contents, press the
CHS
key twice.
Keying in and Entering Numbers
To
enter the first number for a2-function calcula-
tion, key
in
the number and press
IENTI.
If your
number includes adecimal point, key it
in
with
the number. You do not have to key in the decimal
in
whole numbers.
.
~
ii
'.
',',
,'-.'
..•
.;
~
:~.~f.~~{t.~~;;.;:.,f.j_'~~
·
~=
..,..
""'''''''....,
__
'''_'''''''''''''''
....,
= _
.
",ij,,.,.._
.1..
......
"'
..
_"""
,~a::
-
;g"'-~.~"'._
....
~:
..
"I:
:g~
~-~~~---"-
3
;:
'.
f
1-~t.;;:;ii;-

4
Correcting Mistakes
If you.enter a
~rQngnumber,
one t?uChof the
IQI]
key will clear the error and bringbac.k the previous
number. Although
it
is
not necessaryto clear
the
Mathematician between problems, three touches of
the
IQIl
key will clear all exceptmemory. If you
make amistake after touching afunction
key,
the
best way to correct )(our mistake
is
to enter the
last number again and touch the@pposite function.
For example:
If
you find youhavemuitiplied
12
by
6when you wanted to divide 12 by
6,
<;lnter
the 6
again, touch
EI
(divisionis the opposite of multi-
plication) and you are back where you started
before making the mistake.
X Y Exchange
The X Y exchange
key,
Ix<->yl,
allows you to
exchange/he contents of the display with what
was last
in
the display.
Change Sign
Key,
.
The ICHS!
k~y
enables you
\o9hangethe
sign of
the number
In
the display
..
If the
nurTlber
is
posi-
tive, touching ICHSlwill)na,ke it negative and vice
versa.
To
enter
anit!!a~lenurnber,key
in
the
number and touch
'H
',.
.
Entering
,,-
<'~'
"
The constant
Pi
(3J415926)canbe
entered
directly by touching the
El
key.
Performing Calculations
Since rnany people who
us~electronic
slide rules
deal with
cO[1'lplex
propltill1s,
N?VUS
believes the
calc~latorshoUld
not add to thecomplexity of the
problem.Therefore, Nevus selected the Reverse
Polish,Nbtationstack principle,which lets you do
your problems the SAMEWAY each tirne,
no
mat-
terwhatthe
problem.
In
additioJ)
tbthe
separate
memory, there are three locations where numbers
canb<;lkept and operated on. These locations are
called registers and
in
your Mathematician these
have been combined into
an
aulomatic stack.
(See Appendix Afor acomplete explanation of
the stack).
The Logic
of
Reverse Polish Notation (RPN)
If you remember the following three steps, you
will quickly master your NOVUS Mathematician
and have confidence
in
its answers.
1.
Starling at the left and working right;
key
in
the next number (or the first number if this
is
the beginning of anew problem).
2.
Ask yourself:
"Canan
op~ration
be
per-
formed?" If yes, perform
.all
operations
possible. If no, press IENTI.
3.
Repeat steps 1and 2until your calculation
is
complete.

·See
Appendix Afor adiagram explanation
of
how these
work on the stack. 2 2
IENTI
2.
3 3
I±l
5.
subtracts what
is
in the display from what
was last
in
the display.
muitiplies what is
in
the display by what
was last in the display.
divides what was last
in
the display by what
Is
now
in
the display.
Touching the Fkey before touching
(sin"),
(COS") or (fan-I) wiil compute the arc sine, arc
cosine or arc tangent, respectively, of the number
in
the display.
Example: Arc sine
.5
=30°
KEY
IN
DISPLAY SHOWS
.5
.5
[£.]
.5
(sin-I) 30,
(rad) after touching the Fkey, converts number
in the display from degrees to radians.
Example: 90° =1.5707963 radians.
KEY IN DISPLAY SHOWS
90 90
[f]
(rad) 1.5707963
(deg) after touching the
[f]
key,
converts number
in
the dispiay from radians to degrees.
Two-factor calculations
To
perform two-factor calculations,
key
in
the
first
number, touch
IENTI
,key in the second number
and touch the desired function
key.
l±J
adds what
is
in the display to what
was
last
in
the display.
Example: 2+3=
5.
KEY IN DISPLAY SHOWS
EJ
1RI
EI
5
25.
DISPLAY SHOWS
KEY
IN
5
[f]
(X2)
Trigonometric
functions
ISINIcomputes the sine of the angle
in
the
display:
leosl computes the cosine of the angle
in
the
display:
ITANIcomputes the tangent of the angle
in
the
display:
•DEGREES ONLY!
2 2
~
.5
lv-I computes the square root of
any
positive
number in the display.
(X
2)after touching the F
key,
computes the
square of the number in the display.
Example:
52
=
25.
One-factor
calculations
One-factor functions work directly
on
what
is in the display, there
is
no need to press
ENT
before performing the function.
[]ill* computes the natural logarithm of
any
positive number in the display.
ILOG! *computes the common logarithm of any
positive number in the display.
~*
computes the natural antilog of the number
in the display by raising the constant 'e'
(2.7182818) to the power
in
the display.
11/xl computes the reciprocal of the number
in
the display.
Example: 112 =0:5.
KEY IN DISPLAY SHOWS
5

6
Chain calculations
withtwb-factor
functions
The number in the display
.is'
always ready
to
have
calculations performed
On
it.
Chain problems
require no forethought with
RPN!
Just follow the
three steps of
RPN.
*Seeappen'dix A
fora
diagrafTI
expl~natjon
of
how this
function works on the stack.
**The
reason for the small variation from the absolute answer
lie.s
.in
that the
Mat~ematicjah
uses
alog,
a~
method of
raising
to
powers;
I.e.,
Y'
~
e'
Ie
y.
While~256
~
4,
most
calculators will give you 3.999998 because there is simply no
8-digit
number
which
gives4
whene
is raised t6 this power.
Example:
12
+6=
2.
KEY
IN
DISPLAY
SHOWS
12
12
00
12
6 6
[±j 2.
!Y3'
raises the number
in
the display to the
power now
in
the display.
Example: 44=256.
KEY
IN
DI.SPLAY SHOWS
4 4
IENTI 4.
4 4
fZ] 256.
Since taking the
Xth
root of Y
is
the same
as'
raising Yto
the
1/x
power, to obtain roots,
touch 11/xl before touchingG:].
Example:
'\f256
=4.
KEY
IN
DISPLAY SHOWS
Starting
atthe
left, key in
the first number.
Canan operation be performed?
Yes,
squaring. Perform all
operations possible.
Working left to right, key in
the next
number.
Can
an operatio[1 be performed?
Yes. Perform all operations
possible.
tin
this
case,three:
squaring,
addition,
square
rool).
Calculation is complete.
It~~
that simple!
3
9.
25.
5.
4
16
DISPLAY
SHOWS COMMENTS
2Starting at the left, key in
the first number.
2.
Can an operation be performed?
No.
Press
lENTI
3Working left
to
right, key in
the
next
number.
6.
Can an operation be performed?
Yes. Perform the operation.
4Working left to right, key in
the
next
n'umber.
4. Can an
operation
be PE?rformed?
No: (There aren't two factors to
add
together
yet). PresS IENTI
5Working left to right, key
in
then'ext
number.
20.
Can an operation be performed?
Yes, Perform all
operations
possible, (In this case, two:
multiplication then addition).
26.
End
of calculation.
4
[I]
(X')
3
[£]
(X')
4
IENTI
III
5
BJ
2
IENTI
3
[81
KEY
IN
Chain
calculations
combining one and
two-factor
functions L
Example:. If you have aright triangle
Ce'
with side A=3and side B=
4,
you
8=4
can find the third side usin the
Pythagorean theorem
A'
+
8'
=
C.
Substituting: '1/3' +
4'
=
5.
.A,03
KEY
IN
DISPLAY
SHOWS
COMMENTS
Example:
(2
X
3)
+
(4
X
5)
=
26.
256
256.
4.25
3.999998"
256
IENTI
4
11/xI
[Z]
1
1
\
1
I
1
i
.
',',.,c::,
:"'\,,'
C"
•••
\
l
~
:...,
"',

COMMENTS
DISPLAY SHOWS
44
[[]
(X2)
16.
IMsl
16. Store the first
number
in the
memory.
22
'3:
If](M+X2)
2.
Memory now contains 20.
~<:;-
(16 +22
).
Display remains
unchanged.
;.:'
33
[[]
(M+X')
3.
Memory
now
contains 29.
(20 +32
).
Display remains
unchanged.
IMRI 29. Recall what is in memory to the
display. Calculation complete.
KEY IN
Any overflow or illegai operation will cause the
NOVUS Mathematician to indicate
an
error condi-
tion by displaying all zeros and decimal points.
(See AppendiX Cfor acomplete table of illegal
operations). Touching
Ic~
Iclears the error condi-
tion and lets you start
the
problem
ovy
agTn.
Touching any key
EXCEPT
1:1:El,
Ej,
LOG
or
II6.J
clears
.the
error condition and assumes continu-
ance of the calculation
in
progress with the num-
ber in the display being equal
to
zero. Memory
is
not affected by the error condition. If performing
afunction would cause the contents of memory to
overflow, the error condition will be displayed and
the contents of memory will remain undisturbed.
(M+X')
after touching
the
IIJ
key,
squares the
number
in
the display and adds it to the
number
in
memory, Dispiay remains
unchanged.
Example:
Sum
of squares.
4'
+
2'
+
3'
=29,
12 12
IMSI 12.
Memory
now
has 12 stored in it,
replacing
what
was previously
in memory. Display remains
unchanged.
66
[I]
(M+)
6. Memory
now
has 18 (12 +6)
stored in it. Display remains
unchanged.
33
[I]
(M-)
3.
Memory
now
has 15 (18 -3)
stored in it. Display remains
unchanged.
IMRj 15. Recall what is in
memory
to
the display. Memory remains
unchanged.
Memory
The NOVUS Mathematician has acompletely
independent memory which can be used to store
constants for later use, for storing intermediate
results or
to
accumulate into memory.
IMsl stores the number in the display
in
memory.
Any previously stored number is replaced
by the new number. To clear memory, enter
othen touch
eMS
I.
IMRI recalls the number in memory to the display.
(M+)
after touchingill, touching
(M+)
adds the
number
in
the display to the number
in
memory and leaves the sum
in
memory.
The display remains unchanged.
(M-)
after touching
IIJ,
touching
(M-)
subtracts
the number
in
the display from
the
number
in
memory and leaves the difference in
memory. The display remains unchanged.
Example: Store 12
in
memory, add 6to it, subtract
3from it and then recall memory
to
see what
you have.
In
memory: 12 +6 - 3=15.
KEY
IN
DISPLAY SHOWS COMMENTS
L
•
·-
.'
:~
7

8
Appendices
Appendix A
~
RPN and the Stack
Principle
The
NOVUS
Mathematician uses
RPN
with three
registers calied
X,
Yand
Z.
Aregister
is
an
elec-
tronic element used
to
store data while it
is
being
displayed, processed or waiting to
be
processed.
They are arranged
in
astack with register X
on
the
bottom. Regis,ter Xis the displayed register.
As
numbers
are
keyed
in,
the~nto
the display
(register
X).
When you touch
~,
the number
is
duplicated into register
Y.
At the same time, the
contents of register
Yare
transferred to
registerZ
and the contents of register Zare transferred
out.o! the stack.
Performing
an
arithmetic operation
(+
-X
+)
causes the contents of registers X
and
Y
to
be com-
bined according to the operation performed and
the results transferred to register
X.
At the same
time, the contents ot register Zare transferred to
register Yand register Z
is
cleared automaticaliy.
Since the memory (register
M)
is
not affected
by
any operation other than specific memory func-
tions, it
is
not part of the basic three-level stack. \
The following diagrams show what happens to the i
stack for each operation
on
the NOVUS Mathe-
matician: To avoid confusion between the name of
aregister
and
its contents, the registers in these
diagrams are represented by capital letters
X,
Y
and Z
and
the contents of the registers by lower
case letters
x,
yand
z.

TOUCH CONTENTS ILOCATION
Z•Z
[E]
Y•Y
letl X•X
m•M
TOUCH CONTENTS ILOCATION
[QJm
---c
LOST
[Z]@]
Z=:C
Z
0
Y:/:Y
AFTER X
jX
TOUCHING
ANY NUMBER
FUNCTION
KEY
CONTENTS ILOCATION
TOUCH
TOUCH CONTENTS ILOCATION
~LOST
~:;:~
TOUCH CONTENTS ILOCATION
[Q]O]
[Z]
..
@]
Z•Z
0Y•Y
AFTER X
jX
TOUCHING NUMBER
IENTtI
TOUCH CONTENTS ILOCATION
Z•Z
Y•Y
IMSI
XXX
m\.:M
LOST
TOUCH CONTENTS ILOCATION
---c
LOST
Z::J:Z
B
Y:;:Y
::r
x
TOUCH CONTENTS ILOCATION
----I:
LOST
z:;:z
:=f~
9
..
.

*Note: Performing any trig, log or antilog function
clears register
Z.
f(x) is transferred to register
X,
and, register Yremains unchanged. Performing
the yx function clears register Z
..
Th~
contents
of
register Xis transferred
to
register Yand
yx
is
transferred to register
Xc
,
r
I
10
TOUCH CONTENTS ILOCATION
°XLOST
~
z'.. Z
X
y~y
Xyx X I
"
TOUCH CONTENTS ILOCATION
z'
•Z
11/xl
y•y
I1l
XXX
f(x)
LOSt
TOUCH CONTENTS ILOCATION
II]
°XLOST
(sin-I) zZ
or
Y•Y
(COS-I)
XXX
or f(x) LOST
(tan-I)
TOUCH CONTENTS ILOCATION
ISIN'
°XLOST
leosl zZ
ITANI
y•y
lliil
XXX
ILOGI f(x) ,LOST
la
TOUCH CONTENTS ILOCATION
z•Z
[f]
Y•Y
(X')
XXX
X'
LOST
TOUCH CONTENTS ILOCATION
z•Z
[f]
Y•Y
(rad)
XXX
or
f(x) LOST
(deg) (RADIANS TO DEGREES
OR
DEGREES TO RADIANS)

TOUCH CONTENTS ILOCATION
z•Z
Y•y
[E]
X•X
(M+X')
mXM
M+X'
LOST
TOUCH CONTENTS ILOCATION
z•z
IX~YI
Yx
Y
XX
TOUCH CONTENTS ILOCATION
oX
LOST
zZ
ERROR Y•Y
INOICATION
XXX
o
LOST
m•M
TOUCH CONTENTS ILOCATION
•Z
z
(f]
y•Y
(M+)
X~
X
(M-)
m
f(x)-M
LOST
f(x):m+x~M
m-x~M
TOUCH CONTENTS ILOCATION
~
~~Z
~
Y""'\'"-Y
EJ
X
--
f(x)-->
X
f(x):
y+x-->
X
y-x-->X
yXx-->X
y~x-->X
"
~,
,<
:'~
11
{:

KEY
IN DISPLAY SHOWS
Appendix 8 - Some Examples
Mathematics
Example: Sum of products
(2
X3) +(4 X
5)
=26
Here is what happens
in
the stack for
(2
X3) +(4 X5) =26
2
ENTt
3X4
ENTt
5X+
"66
22 6 446
22 3 6445
1,20
26
z
K
x
y
M
2
2.
3
6.
4
4.
5
20.
26.
2
JllijJ
3
1ZI
4
IENTj
5
[8J
EEl
I
Here
is
what happens
in
the stack for
(2
+3) X(4 +4) =45
Example: Product of sums
(2+3)
X
(4+5)
=45
KEY
IN DISPLAY SHOWS
M
2
ENTt
3+4
ENTt
5+X
55
"
225445
"
22354 4 5945
x
y
z
K
2
2.
3
5.
4
4.
5
9.
45.
2
IENTI
3
EEl
4
IENTI
5
EEl
1ZI
12

Transfer contents of
register Yto register Z
to save
for
use in
calculating 0.
Ycoordinate.
Save for
use
in
calcu-
lating 8.
Rcalculated.
Exchange to bring X
coordinate back to
register
X.
Recall Ycoordinate.
Exchange
to
divide
Yby
X.
1.3333333
8.
6.
36.
8
8.
64.
100
10.
6
o
8
IMSI
[E]
(X')
EJ
lrJ
!x
.....
YI
KEY IN
[MB]
IX<->Yl
E.J
[E]
(tan-!) 53.1301 0
calculated.
Note: To see Ragain, touch
X-Y
Example: Convert the rectangular coordinates
X=
6,
Y=8to polar coordinates
Rand
o.
Using the formulae: R=
'.Ix'
+
Y'
and
G=tan-!(Y
IX)
DISPLAY
SHOWS COMMENTS
6 X coordinate.
6.
6.
Here
is
what happens
in
the stack for R=
V6'
+
8'
and A=TAN (8/6)
z
Y
X
6
ENT ENT
x8
MS
F
X'
+Vx-y
MR
X-Y
~
FTAN-!
66 6 6 6
10 10
66 6 36 36 36 36 66
10
68
10
10
666
36
8 8 8
64
100
10
686
133 133
53.13
888888

Although most problems can
be
solved
in
the
straightforward left to right method discussed
under "The Logic of RPN," thinking through the
problem and planning
in
advance can lead
to
some shortcuts. Here
is
an
example of ashortcut
method of solving the problem.
Convert the rectangular coordinates X =
6,
Y
==
8to polar coordinates Rand
e.
KEY
IN
DISPLAY SHOWS
.1.7320508
.57735027
.57735027
: I
KEY IN DISPLAY SHOWS COMMENTS
Example: Find the arc cotangent of 1.7320508.
arc cot 1.7320508 =300
1.7320508
11/
xl
III
(tan-I) 30.
Example: Find the sine of 1.5707963 radians.
KEY
IN DISPLAY SHOWS
1.5707963 1.5707963
lEJ
(deg) 89999999
ISINI
1.
4.6153847
KEYIN
DISPLAY SHOWS
10
10
11/xl
.1
15
15
[lliJ .0666666
I±I
.1666666
20 20
11/xl .05
I±I
.21666666
Illil
4.6153847
Engineering
Example: What is the equivalent resistance of
a10-ohm, 15-ohm and 20-ohm resistor
connected
in
parallel?
Using the formula:
R
1_
""
_1_
+
_1_
+
_1_
R.
R, R,
Substituting: 1
R""
-~~'--~~
.:..!..
+
_1_
+_1_
10
15
20
KEY
IN
DISPLAYSHOWS COMMENTS
30
30
IMsl
30.
StOre
for further use with-
ITANI out having
to
fe~enter.
.5773502
[lli]
1.732051
COTANGENT
300
IMRI 30. Rew
enter300
Icosl
.8660255
11/x I1.1547004
SECANT
300
IMRI
30.
Re-enter
30°
ISINI
.5
11/xl
2.
COSECANT
300
o0
IMsl
O.
Clear memory.
8 8 Ycoordinate.
[f)
(M+x')
8.
Store
y'
in
memory.
6 6 Xcoordinate.
[fJ
(M+x')
6.
Add
x'
to
y'
in
memory.
EJ
1.3333333
Compute
tan
e=yIx.
[fJtan
53.1301 e
calculated.
I
MH
I
100.
Recall
x' +
y'.
Ivl
10 R
calculated.
Note:
To
see eagain,
toLlch
Y
....
Y
Example: Find the cotangent, secant and
cosecant of 300•Using the formulae:
111
cot=-,
sec=-,
csc=-
tan cos sin
j .
."
: 1
14

15
o
o
31415926
5
5.
DISPLAY
SHOWS
3.1415926
3.1415926
5
15.707963
5
25.
15
225
250
15811388
248.36469
31415926
31415926
5
25
78539815
3269045
KEY IN
EI
ENT
5
EI
5
[II
(X')
15
[II
(X')
ffi
Gel
EI
o
IENTI
5
[II
(X2)
EI
I±J
o
IMSI
o
5
[II
(M+x
2)
Example: Compute the area
ofa
cone with
radius 5and height
15.
Using the formula: A
=.C
oR
VR'
-+-
H'
-+-
"R'
SUbstituting: A
="
x 5 X
V5'
+
15'
-1-"
x
5'
=
3269045
Although most problems can
be
solved
In
the
straightforward left to right method discussed
under
"The
Logic of RPN," thinking through the
problem and planning
in
advance can lead to
some shortcuts. Here
is
an
example of ashortcut
method of solving the problem.
Compute the area of acone with
radius 5and height
15.
KEY IN DISPLAY
SHOWS
Example: Calculate the percentage by weight of
10 grams of asubstance with normality of
0.15
in
45 milliliters of standard solution with
mew
of
0.03646.
Using the formula:
%wt
-(mew) x N xVx
10'
W
where:
%wt
=percentage by weight
mew =millequivalent weight of the
substance
N=normality of the substance
V=volume of standard solution
in
milliliters, and
W=weight of sample
in
grams.
Su
bstituting:
0;
t _ 0.03646 x0.15 x45 x
10'
;oW
-2.46105
10
KEY
IN
D.1SPlAY SHOWS
03646 03646
IENTI 03646
.15 .15
[8]
005469
45
45
i
[8]
.246105
.:-
fi
10 10
~)
[£]
(X')
100.
[8]
24.6105
10
10.
EJ
2.46105
c·
-'~i
..,
I
.'_...
~
.
'"
.
$'
-~
<,
P

Example: What is the equivalent impedance
of a325-ohm resistor and a15.2-millihenry
inductor at afrequency of 1500 Hz?
Using the formula:
Z.q
=R/e where
et
2"
fL t
_2-,-x:..:.,,:..:.x;...1:..:5:..:D-,,0-,-x:..:.,0:..1:..:5:.::2
=arc
an
--=
arc
an-
R325
=23,78739° and
R=
2"fL
=355,17239
sine
COMMENTS
Store the intermediate
result forfurther use.
Rememberthatyx
func-
tion clears register Z.
COMMENTS
Recall
27TfL
Exchange Xand Yregis-
ters so you can divide
what was last
in
display
by
what
is
now
in
display.
Rcalculated.
ecalculated.
Sinceyou'r~going
to
use
27TfL
againit$i calculate
R,
store it:fqpfurtheruse.
4
4.
3
1.3333333
3.1415926
4,18879
4.18879
355.17239
325.4407896
23.78739
.4033439
143.25662
.4033439
2
2.
3.1415926
6.2831852
1500
9424.7778
,0152
143,25662
143.25662
DISPLAY SHOWS
DISPLAY SHOWS
El
KEY
IN
325
El
IE]
(tan-l)
ISINI
IMRI
IX-YI
2
IENTI
EJ
[8J
1500
[8J
,0152
[8J
IMS)
KEY
IN
Example: Find the volume
of
asphere whose
radius is 6,25.
Using the formula: V=-±-
"R'
3
Substituting: V
=-±-
x"
x
(6,25)'
=1022,6532
3
15.707963
3.1415926
25,
78,539815
15,707963
15
15,
15.707963
250,
15,811388
248,36469
326,9045
1500
150C,
303
454500,
295
1540,6779
DISPLAY SHOWS
KEY
IN
1500
IENTI
303
I8l
295
El
[8J
EJ
IMRI
[8J
IX-Yl
15
[](M+x')
[Q±]
IMRI
EEl
[8J
EEl
Example:
lithe
internal
p~essure
of atank of
gas at
Z95°K
is 1500 psi, what is the pressure
if the temperature is
ra.is·ed
to
303°K?
Using the formula:
P, =P,T, =1500 x303 1540.6779 psi.
T,295
~
,.
-
!
11
-'.
-",
-
....
,
-.'
,
~
16

Finance
Example:
How
much
do
you have to
put
in
the
bank
for
it to be
worth
$25,000 in 10 years
if
the interest rate is
8.5%
per
year?
Using the formula: PV =
FV
(1
+
i)"
where: PV =present value
FV
=future value
i=interest rate (in
decimal)
n=
number
of
years.
25000
Substituting: PV $11057.15
(1
+.085)10
6.25
IENTI
3
IY3
IMBJ
~
KEVIN
1
IENTI
.085
l±J
10
I'B
25000
Ix
.....
yl
EI
6.25
6.25
3
244.1405
4.18879
1022.6532
DISPLAY
SHOWS
1
1.
.085
1.085
10
2.26098
25000
2.26098
11057.152
Recall the intermediate
result.
COMMENTS
Example: If you invest $10,000
now
at an
interest rate
of
8.5%
per
year,
how
much
will
your
money be worth in 10 years?
Using the formula:
FV
=
(1
+i)" xPV
where:
FV
=future value
PV
=present value
i=interest rate (in
decimal)
n=
number
of
years.
SUbstituting:
FV
=
(1
+.085)10
xl
0,000
=
$2260980
KEVIN
DISPLAY SHOWS
COMMENTS
11
lENT]
1.
.085 .085
l±J
1.085
10
10
I'B
2.26098
10000 10000
[;:s]
22609.8

Appendix C -
Operating
Limits
CONDITIONS
FOR
ERROR
INDICATION
FUNCTION CONDITION,(X =contents of register
Xl
-t-,-,X,.-:--
X>
99999999
+,1/x
.
IXI
<.;
0.00000001
VX
X<O
yx y
<.;
0;
18.42060 < X
In
Y<
-28
LOG
X,
Ln
xX<';0
e'
18.42068 < X<
-28
SIN,
COS
X;'
7radians,
X;'
401
°
TAN
IXI;'
90°,
X;'
7radians
SIN-I, COS-l
X>
1
TAN-l
X>
99999999

:;~;j~~~~#i't¥~
.:~
Consumer Warranty
NOVUS
Model
4510
NOVUS, the consumer products division
of
National Semiconductor Corporation,
IS
proud
to guarantee your electronic calculator to
be
free from defects
in
workmanship and materials
for aperiod of one year from the date of your
purchase. Defects caused by abuse, accidents,
moditlcations, negligence, misuse
or
other
.causes beyond the control of NOVUS are, of
course, not covered by this warranty,
nOr
are
batteries. Should the calculator prove defective
within 30 days of purchase, NOVUS will repair
or, at its discretion, replace
it
free of charge.
If the defect occurs after
30
days from date of
purchase, acharge of $3.50 will be made for
handling and insurance. If your calculator
becomes defective after the one-year period,
NOVUS will make repairs for anominal charge
of $15.50. Simply mail
It
prepaid and Insured
with your check
or
money order to the nearest
NOVUS service center. Repair prices are subject
to change without notice. Please do not send
or
Include cash. Make your check
or
money
order
payable to NOVUS. Upon receipt, your
calculator will be promptly serviced and
returned to you freight prepaid.
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