Texas Instruments TI36X - Solar Scientific Calculator User manual

Texas Instruments Holland B.V.
Rutherfordweg 102
3542 CG Utrecht-The Netherlands
Texas Instruments U.S.A.
7800 Banner Dr.
Dallas, TX 75251
D
www.ti.com/calc ti-car[email protected]
© 1998 Texas Instruments
Gedruckt auf Recycling-Papier
30XA/OM/1L5
TI-36X Solar, English
2.87”
5.38”

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TI36XSUS.DOC MURFE pruning--US version Pat Hatcher
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Page 1 of 29
TI
.
36X SOLAR
Scientific Calculator
Basic Operations
.................................
2
Results
..........................................
2
Basic Arithmetic
..................................
3
Percents
.........................................
4
Fractions
.........................................
5
Powers and Roots
................................
6
Logarithmic Functions
............................
6
Angle Units
.......................................
7
DMS
.............................................
8
Rectangular to Polar
..............................
9
Polar to Rectangular
..............................
9
Trigonometric Functions
..........................
10
Hyperbolic Functions
.............................
10
One-Variable Statistics
............................
11
Two-Variable Statistics
............................
13
Probability
........................................
15
Clearing and Correcting
...........................
16
Physical Constants
...............................
17
English/Metric Conversions
.......................
18
Constants (Repeated Operations)
.................
19
Memory
..........................................
20
Order of Operations
...............................
21
Number-System Modes
...........................
22
Boolean Logic Operations
.........................
24
Notation
..........................................
25
Display Indicators
.................................
26
Error Conditions
..................................
27
In Case of Difficulty
...............................
28
TI Product, Service, and Warranty Information
......
29
 1997 Texas Instruments Incorporated

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Basic Operations
¦
To turn on the TI
-
36X Solar, expose the solar panel
to light and press
! . Note: Always press
! to clear the calculator because memory and
display may contain incorrect numbers.
¦
To turn off the TI
-
36X Solar, cover the solar panel
with the slide case.
( selects the 2nd function of the next key pressed.
" selects the 3rd function of the next key pressed.
Third function
Second function
Primary function
LN
e
x
3
x
For example, 8 " ‚ finds the cube root of 8.
To cancel 2nd or 3rd, press
( or " again.
Results
The TI
-
36X Solar calculates up to 12 digits and can
display up to 10 digits plus a minus sign
(
-
9,999,999,999 through 9,999,999,999) and a 2-digit
exponent. Results with more than 10 digits display in
scientific notation.

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Basic Arithmetic
D > 8 2 60 D 5 8 12 O
120.
O Completes all pending operations.
With constant, repeats the
operation and value.
N Changes sign of value just entered.
1
D 8 N D 12 O
5.
In binary, octal, or hexadecimal
mode,
N calculates the 2’s
complement of the number in the
display.
6 7 Parenthetical expression (up to 15
open for each pending operation).
O closes all open parentheses.
"  Pi is calculated with 12 digits
(3.14159265359), displayed with 10
digits (3.141592654).
2
8 "  O
6.283185307

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Percents
Percentage (
5% of 250 )
250 8 5 " ‡
0.05
O
12.5
Ratio (
Ratio of 250 to 5 )
250 2 5 " ‡
0.05
O
5000.
Add-On (
5% add-on of 250 )
250 D 5 " ‡
12.5
O
262.5
Discount (
5% discount on 250 )
250 > 5 " ‡
12.5
O
237.5

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Fractions
b F c Enters a proper or improper fraction,
b
à
c (b
{
6 digits, c
{
3 digits). When
possible, improper fractions are
displayed as mixed numbers.
3
F 4 3 ¯
4
8 3 O
2
®
1
¯
4
Single-variable functions display
decimal results.
1
F 2 0
0.25
a F b F c Enters the mixed fraction a b
à
c.
(a, b, c
{
3 digits each, with the total
digits
{
8).
6
F 4 F 6 6 ®
4
¯
6
O
6
®
2
¯
3
( s Toggles display between mixed
number and improper fraction.
30
F 4 30 ¯
4
( s 7 ®
1
¯
2
( s 15 ¯
2
( s
7
®
1
¯
2
" ¡ Toggles display between fraction and
decimal. Note: Due to display size,
not all decimal numbers can toggle
to fractions.
55
F 24 55 ¯
24
" ¡ 2.291666667
" ¡ 2 ®
7
¯
24

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Powers and Roots
/ 8 / D 4 / O
0.375
0 6 0 D 2 O
38.
1 256 1 D 4 1 O
18.
" ‚ 8 " ‚ D 4 O
6.
, 5 , 3 O
125.
( Y 8 ( Y 3 O
2.
Logarithmic Functions
$ 15.32 $ 1.185258765
D 12.45 $ O
2.280428117
( R 2 ( R > 10 0 O
0.
% 15.32 % 2.729159164
D 12.45 % O
5.250879787
( S .693 ( S 1.999705661
D 1 O
2.999705661
(
e
=2.71828182846)

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Angle Units
( Q Cycles angle-unit setting between
degrees, radians, and grads without
affecting the displayed number.
"  Cycles (converts) angle-unit setting
between degrees, radians, and grads
for display, entry, and calculation.
45
DEG
45
" 
RAD
0.785398163
" 
GRAD
50.
" 
DEG
45.

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DMS
Enter DMS (Degrees/Minutes/Seconds) values as
D.MMSSs, using 0s as necessary:
Ddegrees (0–7 digits)
.decimal-point separator
MM minutes (must be 2 digits)
SS seconds (must be 2 digits)
sfractional part of a second
For example, enter 48
¡
5'3.5" as 48.05035.
Before using a DMS value in a calculation, you must
convert it to decimal with
( | .
( | Interprets display as DMS and converts
it to decimal.
30.09090
( |
30.1525
" ª Temporarily displays current value as
DMS.
30.1525
" ª
30
¡
09'09"0

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Rectangular to Polar
" © converts rectangular coordinates (
x
,
y
) to
polar coordinates (
r
,
q
).
Convert rectangular coordinates ( 10,8 ) to polar.
! or ( Q
(if necessary)
DEG
10 . 8
DEG
8
" ©
(display
r
)DEG r
12.80624847
.
(display
q
)DEG
38.65980825
.
(display
r
)DEG r
12.80624847
Polar to Rectangular
( { converts polar coordinates (
r
,
q
) to
rectangular coordinates (
x
,
y)
.
Convert polar coordinates ( 5,30 ) to rectangular.
! or ( Q
(if necessary) DEG
5 . 30
DEG
30
( {
(display
x
)DEG x
4.330127019
.
(display
y
)DEG
2.5
.
(display
x
)DEG x
4.330127019

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Trigonometric Functions
Before using the trigonometric functions ( ) , * ,
+ , ( V , ( W , ( X ), select
DEG
,
RAD
, or
GRAD
with ( Q .
( Q
(if necessary) DEG
90 )
DEG
1.
> 30 *
DEG
0.866025404
O
DEG
0.133974596
1 ( V
DEG
90.
> .5 O
DEG
89.5
Note: Before using a DMS (Degree/Minute/Second)
value in a calculation, you must convert it to decimal
with
( | .
Hyperbolic Functions
To access hyperbolic functions, press # and then
the function (
# ) , # * , # + ,
# ( V , # ( W , # ( X ).
Note:
DEG
,
RAD
, or
GRAD
does not affect hyperbolic
calculations.
5 # )
74.20321058
D 2 O
76.20321058
5 # ( V
2.312438341
D 2 O
4.312438341

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One-Variable Statistics
" ‰ One-variable statistics mode.
( [ Clears all statistical data.
! Clears all statistical data,
STAT
mode,
and memory.
4 Enters data point.
( a Removes data point.
( \ Adds or removes multiple occurrences
of a data point.
Enter data point, press
( \ ,
enter frequency (1–99), press
4 to
add or
( a to remove data points.
( g Sum.
( h Sum of squares.
( ] Mean.
( _ Population standard deviation
(n
weighting).
( ^ Sample standard deviation
(
n-
1 weighting).
( b Number of data points.
In
STAT
mode press O to perform basic arithmetic,
permutations, combinations, and polar/rectangular
conversions.

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Find the sum, mean, population standard deviation, and
sample standard deviation
for the data set: 45, 55, 55,
55, 60, 80. The last data point is erroneously entered as
8, removed with
( a , and then correctly entered
as 80.
" ‰
STAT
0.
( [
STAT
0.
45
4
STAT
1.
55
( \ 3 4
STAT
4.
60
4
STAT
5.
8
4
STAT
6.
8
( a
STAT
5.
80
4
STAT
6.
( g (sum)
STAT
350.
( ] (mean)
STAT
58.33333333
( h (sum of squares)
STAT
21100.
( _ (
n
weighting)
STAT
10.67187373
( ^ (
n-
1 weighting)
STAT
11.69045194

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Two-Variable Statistics
"  Two-variable statistics mode.
( [ Clears all statistical data.
! Clears all statistical data,
STAT
mode,
and memory.
x
.y 4
Enters data point.
x
.y
(
a
Removes data point.
( \ Adds or removes multiple occurrences
of a data point.
Enter data point, press
( \ ,
enter frequency (1–99), press
4 to
add or
( a to remove data points.
( g or
( i
Sum.
( h or
( j
Sum of squares.
( ] or
( c
Mean.
( _ or
( e
Population standard deviation
(n
weighting).
( ^ or
( d
Sample standard deviation
(
n-
1 weighting).
( b Number of data points.
( k Sum of the
xy
products.
" œ Correlation coefficient.
( n Intercept.
( o Slope.
( p Predicted
x
value.
( q Predicted
y
value.

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For trend-line analysis, enter 1st data point, and then
enter just
y
values with 4 .
x
is automatically
incremented by 1.
Linear Regression Example
Predict
y
for
x
= 9, given (4,5), (4,5), (9,9), (2,3).
Calculate correlation coefficient, slope, and intercept of
the line, mean of
x
values, and mean of
y
values.
" 
STAT
0.
( [
STAT
0.
4
. 5 ( \ 2 4
STAT
2.
9
. 9 4
STAT
3.
2
. 3 4
STAT
4.
9
( q (predict
y
for
x
=9)
STAT
9.074766355
" œ (correlation coefficient)
STAT
0.998030525
( o (slope)
STAT
0.841121495
( n (intercept)
STAT
1.504672897
( ] (mean of
x
values)
STAT
4.75
( c (mean of
x
values)
STAT
5.5

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Probability
A combination is an arrangement of objects in which
order is not important, as in a hand of cards.
" ¦
calculates the number of possible combinations of
n
items taken
r
at a time.
Calculate the number of 5-card poker hands that can be
dealt from a deck of 52 cards.
52 . 5 " ¦ O
2598960.
A permutation is an arrangement of objects in which
the order is important, as in a race.
( x calculates
the number of possible permutations of
n
items taken
r
at a time.
Calculate the number of possible permutations for the
1st-, 2nd-, and 3rd-place finishers
( no ties ) in an
8-horse race.
8 . 3 ( x O
336.
A factorial is the product of the positive integers from 1
to
n
. (
n
must be a positive whole number

69.)
Using the digits 1, 3, 7, and 9 only one time each, how
many 4-digit numbers can you form?
4 " ƒ
24.

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Clearing and Correcting
! Clears display, errors, all pending
operations, statistical data,
STAT
mode
and memory. Sets
DEG
angle units,
floating-decimal format.
' Clears value (before pressing operation
key), display, errors, all pending
operations. Does not affect mode,
display format, angle units, memory, or
statistical data.
' after 6 , 7 , , , ( Y , 8 ,
2 , D , or > clears the calculator as if
you had pressed
' ' .
' ' Clears display and all pending
operations.
K Deletes right-most character in display.
0 :
n
Clears memory
n
.
"  Clears
SCI
or
ENG
notation.
( T M Clears
FIX
notation.
( [ Clears all statistical data.
You can change from y
x
, ¬ ,
Q
,
P
, +,
-
, AND, OR, XOR,
or
XNOR
to another operation simply by pressing the
intended key if the intended operation has a lower
priority.

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Physical Constants
cspeed of light
299,792,458 meters per second
ggravitational
acceleration
9.80665 meters per second
2
m
e
electron mass
9.1093897
Q
10
-
31
kilograms
eelectron charge
1.60217733
Q
10
-
19
coulombs
hPlanck’s constant
6.6260755
Q
10
-
34
Joule
seconds
N
A
Avogadro’s number
6.0221367
Q
10
23
molecules per
mole
Rideal gas constant
8.31451 Joules per mole °Kelvin
Guniversal
gravitation
6.67259
Q
10
-
11
Newton
meters
2
per kilogram
2
Press " U and then the appropriate constant
key.
Calculate 3 times the speed of light:
3 8 " U
ã
C
ä
O
899377374.

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English/Metric Conversions
English/metric conversions are available only in
DEC
.
centimeters to inches ( t cm
P
2.54
inches to centimeters " ¢ in
Q
2.54
liters to U.S. liquid
gallons
( u l
P
3.785411784
U.S. liquid gallons to
liters
" £ gal
Q
3.785411784
kilograms to pounds
mass
( v kg
P
.45359237
pounds to kilograms " ¤ lb
Q
.45359237
Celsius to Fahrenheit ( y °C
Q
9/5 + 32
Fahrenheit to Celsius " § (°F
-
32)
Q
5/9
grams to ounces
avoirdupois
( z g
P
28.349523125
ounces avoirdupois to
grams
" ¨ oz
Q
28.349523125
Convert 300 grams to ounces.
300 ( z
10.58218858

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Constants (Repeated Operations)
A constant contains an operation (+,
-
,
Q
,
P
, y
x
,
¬
,
AND
,
OR
,
XOR
, or
XNOR) and a value
. O repeats the
calculation.
! , ' ' , or a pending
operation key clears the constant.
Calculate 2
Q p
, 4
Q p
, and 8
Q p
.
2 8 "  O
6.283185307
4
O
12.56637061
8 O
25.13274123