Texas Instruments TI-36X Solar User Manual

TI-36X Solar, English

www.ti.com/calc [e-mail]

TI.36X SOLAR

Scientific Calculator

Basic Operations
Results
Basic Arithmetic
Percents
Fractions
Powers and Roots
Logarithmic Functions
Angle Units
DMS

.............................................

Rectangular to Polar
Polar to Rectangular
Trigonometric Functions
Hyperbolic Functions
One-Variable Statistics
Two-Variable Statistics
Probability
Clearing and Correcting
Physical Constants
English/Metric Conversions
Constants (Repeated Operations)
Memory
Order of Operations
Number-System Modes
Boolean Logic Operations
Notation
Display Indicators
Error Conditions
In Case of Difficulty
TI Product, Service, and Warranty Information



1997 Texas Instruments Incorporated

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2
2
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7
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9

9
10
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15
16
17
18
19
20
21
22
24
25
26
27
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29

1

Basic Operations

To turn on the TI-36X Solar, expose the solar panel

¦

to light and press

!

to clear the calculator because memory and

!

. Note: Always press

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.

LN

3

x

x

e

Third function
Second function
Primary function

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.

2

Basic Arithmetic

D > 8 2
O

N

6 7

" 

60 D 5 8 12
Completes all pending operations.

With constant, repeats the
operation and value.

Changes sign of value just entered.
1

D

In binary, octal, or hexadecimal
mode,
complement of the number in the
display.

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).

8 "  O

2

O

8 N D 12

N

calculates the 2’s

O

6.283185307

120.

5.

3

Percents

Percentage (

250 8 5 "

O

Ratio (

Ratio of 250 to 5

250 2 5 "

O

Add-On (
250 D 5 "

O

Discount (
250 > 5 "

O

5% add-on of 250

5% discount on 250

5% of 250

‡

‡

‡

‡

)

0.05

12.5

)

0.05

5000.

)

12.5

262.5

)

12.5

237.5

4

Fractions

b F c Enters a proper or improper fraction,

a F b F c Enters the mixed fraction a b

( s

" ¡

b

c (b

6 digits, c { 3 digits). When

à

{

possible, improper fractions are
displayed as mixed numbers.

F

4 3

3

8

3

O

Single-variable functions display
decimal results.

F

2

0

1

(a, b, c

3 digits each, with the total

{

8).

digits

{

F

4 F 6 6

6

O

Toggles display between mixed
number and improper fraction.

F

4 30

30

( s

7

( s

15

( s

Toggles display between fraction and
decimal. Note: Due to display size,
not all decimal numbers can toggle
to fractions.

F

24 55

55

" ¡
" ¡

2.291666667
2

2®1¯4

c.

à

®4¯

6®2¯3

®1¯

7®1¯2

®7¯

¯

0.25

¯

¯

24

¯

24

4

6

4

2

2

5

Powers and Roots

/
0
1
" ‚
,
( Y

8 / D 4 /
6 0 D 2
256 1 D 4 1
8 " ‚ D 4
5 , 3
8 ( Y 3

O

O

O

Logarithmic Functions

$

( R
%

( S

=2.71828182846)

e

(

15.32 $ 1.185258765

D

12.45 $

2 ( R > 10 0

15.32 % 2.729159164

D

12.45 %

.693 ( S 1.999705661

D

1

O

O

O

O

O

O

O

0.375

38.

18.

6.

125.

2.

2.280428117

0.

5.250879787

2.999705661

6

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

0.785398163

RAD
GRAD
DEG

45

50.

45.

7

DMS

Enter DMS (Degrees/Minutes/Seconds) values as

D.MMSSs, using 0s as necessary:
D degrees (0–7 digits)

. decimal-point separator
MM minutes (must be 2 digits)
SS seconds (must be 2 digits)
s fractional part of a second

For example, enter 48
Before using a DMS value in a calculation, you must

convert it to decimal with

( |

" ª

5'3.5" as 48.05035.

¡

( |

Interprets display as DMS and converts
it to decimal.

30.09090
Temporarily displays current value as

DMS.

" ª

30.1525

( |

.

30.1525

30¡09'09"0

8

Rectangular to Polar

" ©

converts rectangular coordinates (

polar coordinates (

Convert rectangular coordinates

!

or ( Q

10 . 8

(display q)
(display r)

(display r)

" ©
.
.

).

r,q

(if necessary)

(

10,8) to polar.

DEG
DEG
DEG r
DEG
DEG r

x,y

12.80624847

38.65980825

12.80624847

Polar to Rectangular

( {

converts polar coordinates (r,q) to

rectangular coordinates (

Convert polar coordinates (5,30) to rectangular.

!

or ( Q

5 . 30

(display y)
(display x)

(display x)

( {
.
.

.

x,y)

(if necessary)

DEG
DEG
DEG x
DEG
DEG x

4.330127019

4.330127019

) to

8

30

2.5

9

Trigonometric Functions

Before using the trigonometric functions (), *,

+, ( V, ( W, ( X

, or

)

30

with ( Q.

GRAD

(if necessary)

*

RAD

( Q

90

>
O

1 (

V

>

.5

O

DEG
DEG
DEG
DEG
DEG
DEG

), select

DEG

,

1.

0.866025404

0.133974596

90.

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

does not affect hyperbolic

GRAD

calculations.
5 #

)

D

2

O

5 # (

D

2

O

V

74.20321058

76.20321058

2.312438341

4.312438341

10

).

One-Variable Statistics

" ‰
( [
!

4
( a
( \

( g
( h
( ]
( _

( ^

( b

In

STAT

permutations, combinations, and polar/rectangular
conversions.

One-variable statistics mode.
Clears all statistical data.
Clears all statistical data,

STAT

mode,

and memory.
Enters data point.
Removes data point.
Adds or removes multiple occurrences

of a data point.

( \

Enter data point, press
enter frequency (1–99), press

( a

add or

to remove data points.

4

,

to

Sum.
Sum of squares.
Mean.
Population standard deviation

weighting).

n

(
Sample standard deviation

1 weighting).

(

n-

Number of data points.

mode press O to perform basic arithmetic,

11

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

( a

8, removed with

, and then correctly entered

as 80.

" ‰
( [

4

45

( \

55

4

60

4

8

( a

8

4

80

( g

(sum)

( ]

(mean)

( h
( _
( ^

3

4

(sum of squares)
(n weighting)

(n-1 weighting)

STAT
STAT
STAT

STAT
STAT
STAT
STAT
STAT
STAT

58.33333333

STAT
STAT

10.67187373

STAT

11.69045194

STAT

0.

0.

1.

4.

5.

6.

5.

6.

350.

21100.

12

Two-Variable Statistics

x

x

" 
( [
!

. y 4
. y

(

a

( \

( g
( i

( h
( j

( ]
( c

( _
( e

( ^
( d

( b
( k
" œ
( n
( o
( p
( q

Two-variable statistics mode.
Clears all statistical data.
Clears all statistical data,

and memory.
Enters data point.
Removes data point.

Adds or removes multiple occurrences
of a data point.

Enter data point, press
enter frequency (1–99), press

( a

add or

or

Sum.

or

Sum of squares.

or

Mean.

or

Population standard deviation

weighting).

n

(

or

Sample standard deviation

1 weighting).

(

n-

to remove data points.

Number of data points.
Sum of the xy products.
Correlation coefficient.
Intercept.
Slope.
Predicted x value.
Predicted y value.

mode,

STAT

( \

4

,

to

13

For trend-line analysis, enter 1st data point, and then
enter just

values with 4. x is automatically

y

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

" 
( [

.

5 ( \ 2

4

.

9

9

.

3

2

( q

9

" œ
( o
( n
( ]

(mean of x values)

( c

(mean of x values)

values, and mean of y values.

x

4
4
4

(predict y for x=9)

(correlation coefficient)

(slope)

(intercept)

STAT
STAT
STAT

STAT
STAT

9.074766355

STAT

0.998030525

STAT

0.841121495

STAT

1.504672897

STAT
STAT
STAT

0.

0.

2.

3.

4.

4.75

5.5

14

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
items taken

at a time.

r

" ¦

n

Calculate the number of 5-card poker hands that can be
dealt from a deck of 52 cards.

52 . 5 " ¦

A permutation is an arrangement of objects in which
the order is important, as in a race.
the number of possible permutations of
at a time.

O

( x

2598960.

calculates

items taken

n

r

Calculate the number of possible permutations for the

(

1st-, 2nd-, and 3rd-place finishers

no ties) in an

8-horse race.

8 . 3 ( x
A factorial is the product of the positive integers from 1

. (n must be a positive whole number  69.)

to

n

O

336.

Using the digits 1, 3, 7, and 9 only one time each, how
many 4-digit numbers can you form?

4 "

ƒ

24.

15

Clearing and Correcting

!

'

' '

K

0 :

" 
( T M
( [

You can change from y

XNOR

or
intended key if the intended operation has a lower
priority.

Clears display, errors, all pending
operations, statistical data,
and memory. Sets

DEG

mode

STAT

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.

Deletes right-most character in display.
Clears memory n.

n

Clears

or

notation.

SCI

ENG

Clears

notation.

FIX

Clears all statistical data.

x

, ¬, Q, P, +, -, AND, OR, XOR,

to another operation simply by pressing the

16

Physical Constants

speed of light

c

gravitational

g

acceleration
electron mass

m

e

electron charge

e

Planck’s constant

h

Avogadro’s number

N

A

ideal gas constant

R

universal

G

gravitation

Press "

U

key.

Calculate 3 times the speed of light:

3 8 "

U

299,792,458 meters per second

9.80665 meters per second

31

9.1093897Q 10

1.60217733Q 10

6.6260755Q 10

-

kilograms

19

-

34

-

seconds

6.0221367Q 10

23

molecules per

mole

8.31451 Joules per mole °Kelvin

11

6.67259 Q 10
meters

-

Newton

2

per kilogram

and then the appropriate constant

ãCä

O

2

coulombs

Joule

2

899377374.

17

English/Metric Conversions

English/metric conversions are available only in

DEC

.

centimeters to inches( tcm P 2.54
inches to centimeters" ¢in Q 2.54
liters to U.S. liquid

( u

l P 3.785411784

gallons
U.S. liquid gallons to

" £

gal Q 3.785411784

liters
kilograms to pounds

( v

kg P .45359237

mass
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

( z

g P 28.349523125

avoirdupois
ounces avoirdupois to

" ¨

oz Q 28.349523125

grams

Convert 300 grams to ounces.

300 (

z

10.58218858

18

Constants (Repeated Operations)

A constant contains an operation (+,

AND, OR, XOR

calculation.
operation key clears the constant.

XNOR) and a value

, or

!, ' '

-, Q, P

. O repeats the

, or a pending

Calculate 2 Q p, 4 Q p, and 8 Q p.

2 8 " 

O

4
8

O

O

, yx, ¬,

6.283185307

12.56637061

25.13274123

19

Memory

(

d)

(

d)

(

d)

The TI-36X Solar has 3 memories. When a memory
contains a number other than 0,
single memory, press 0

!

clears all three memories.

:

n

Stores displayed value in memory

displays. To clear a

M

:

1, 0 : 2, or 0 : 3.

,

n

replacing current value.

:

1

23

D

2

O

@

n

( m

Recalls value in memory n.

continue

@

1

D

3

O

nAdds displayed value to memory n.

continue

4 ( m 1

@

1

" ›

nExchanges displayed and memory

M
M

M
M

M
M

23.

25.

23.

26.

4.

27.

values.

continue

3 8 5

O
" ›
" ›

1
1

M
M
M

15.

27.

15.

20

Order of Operations

1st Expressions inside parentheses.
2nd Trigonometric, hyperbolic, square, square

3rd Universal powers and roots.
4th Multiplication and division.
5th Addition and subtraction.
6th Logical
7th Logical OR,
8th

The TI
(AOS
is displayed).

root, cube root, factorial, reciprocal, angle
conversion, combinations, permutations,
percent, logarithms, change sign, metric
conversions, logical

AND.

O

completes all operations.

36X Solar uses the Algebraic Operating System

-

). It stores up to 4 pending operations (1 if

é

NOT.

XOR, XNOR.

STAT

21

Number-System Modes

" 
" “

" ’

" ‘

Calculate 16+1 and display in each number mode.

16 D 1

" “
" ’
" ‘
" 

Selects decimal mode.
Selects binary (

) mode and converts the

BIN

integer portion of the displayed number.
You can enter positive binary numbers as
large as 111111111 (9 digits). Numbers
beyond this are interpreted as negative (2’s
complement) numbers.

Selects octal (

) mode and converts the

OCT

integer portion of the displayed number.
You can enter positive octal numbers as
large as 3777777777. Numbers beyond
this are interpreted as negative (2’s
complement) numbers.

Selects hexadecimal (

) mode and

DEC

converts the integer portion of the
displayed number. You can enter positive
hexadecimal numbers as large as
2540BE3FF. Numbers from FDABF41C01
through FFFFFFFFFF are interpreted as
negative (2’s complement) numbers.

Note: Hexadecimal numbers between
2540BE3FF and FDABF41C01 are
equivalent to decimal values that are
outside the range of the calculator and
therefore cause an error.

O

BIN
OCT
HEX

17.

10001

21
11

17.

22

To enter the hexadecimal digits A through F, use the
keys shown below.

D CE gF

-1 -1 -1

SIN COS TAN

SIN COS TAN

A hB NAC

FRQ

1à

x sx

xx x

me

R

n-1

2

B and D are shown as uppercase letters on the
keyboard, but displayed as lowercase b and d. If you
enter ABCD, for example, the display shows AbCd.

To display the 2’s complement of the number in the

N

display, press

.

23

Boolean Logic Operations

You can perform logical

NOT

operations in the decimal, binary, octal, and

AND, OR, XOR, XNOR

, and

hexadecimal modes.

NOT

Except for

, these functions compare the
corresponding bits of two values. The result is
displayed in the current number base.

Note: Although the TI

36X Solar does not display

-

leading zeros for integers, logical operations treat each
value as a 10-digit binary number. (A displayed value of
0, for example, is treated as 0000000000
displayed value of 1 is treated as 0000000001

BIN

, and a

.)

BIN

Keep this in mind if you see unexpected results.

AND 0 AND 0 = 0 0 AND 1 = 0 1 AND 1 = 1
OR 0 OR 0 = 0 0 OR 1 = 1 1 OR 1 = 1
XOR 0 XOR 0 = 0 0 XOR 1 = 1 1 XOR 1 = 0
XNOR 0 XNOR 0 = 1 0 XNOR 1 = 0 1 XNOR 1 = 1
NOT NOT 0 = 1 NOT 1 = 0

What is the binary result of 9F

" ‘

" —

9F

1

O

" “

HEX

XOR 01

HEX
HEX
BIN

?

HEX

10011110

0

9E

24

Notation

(

d)

(

d)

" 

" Ÿ

" 

( T

( T M
5

You can enter a value in floating-decimal, fixed­decimal, or scientific notation, regardless of display
format. Display format affects only results.

To enter a number in scientific notation:

1. Enter up to 10 digits for base (mantissa). If

negative, press

2. Press

3. Enter 1 or 2 digit exponent. If negative, press

either before or after entering exponent.

1.2345 N 5 N 65

Selects scientific notation.
12345

O

" 

1.2345

Selects engineering notation (exponent
is a multiple of 3).

continue

" Ÿ

12.345

Restores standard notation (floating­decimal) format.

nSets decimal places to n (0–9),

retaining notation format.

continue

( T
( T

2
4

O
O

12.35

12.3450

Removes fixed-decimal setting.
Enters exponent.

N

after entering the mantissa.

5

.

1.2345

.

12345.

04

03

03
03

N

65

.

25

Display Indicators

x

2nd

3rd

M
HYP

BIN, OCT
HEX

STAT

DEG, RAD
GRAD

x

r

( )

Calculator will access 2nd function (printed
on top half of key) of next key pressed.

Calculator will access 3rd function (printed
above key) of next key pressed.

Value other than 0 in memory.
Calculator will access hyperbolic function

of next key pressed.

, or

Calculator is in binary, octal, or
hexadecimal number mode.

Calculator is in 1-variable or 2-variable
statistics mode.

, or

Specifies angle-unit setting (degrees,
radians, or grads). When you turn on the
calculator, angle units are degrees.

-coordinate of polar to rectangular

conversion.

-coordinate of rectangular to polar

r

conversion.
1 or more open parentheses.

26

Error Conditions

When
not accept a keyboard entry until you press
clear the error condition. (

appears in the display, the calculator will

Error

'

' '

clears the

to

condition and all pending operations.)

General errors

Result larger than ±9.999999999 Q 1099.

¦

Division by zero.

¦

More than 15 open parentheses or 4 pending

¦

operations (1 in
Log, ln, or 1/x of 0.

¦

Log, ln, or ‡x of x < 0.

¦

Even root of a negative number.

¦

0 to the 0th power, or 0th root of any number.

¦

Rectangular to polar when x or y has an

¦

STAT

).

exponent > 63.
Tan of x = 90¡, -90¡, 270¡, -270¡, 450¡, etc.

¦

1

1

-

Sin

¦

Tanh

¦

x! where x is not a positive integer { 69.

¦

Combinations or permutations when n and r are

¦

-

or cos

of x where |x| > 1.

1

-

of x where |x| | 1.

not positive integers.

27

Statistical errors

Data value x such that |x| ‚ 1 Q 1.0E64.

¦

Removing the only data value with ( a.

¦

¦v, w, s

¦

¦

¦

Number mode errors

¦

¦

xn, syn, sxn-1, syn-1, correlation, intercept,
slope, x', or y' with no data values or
data value.

Correlation, intercept, slope, x', or y' of a vertical
line.

Correlation or x' of a horizontal line.
Correlation, slope, intercept, x', or y' with only one

data point.

Result outside range for that number mode.

BIN, OCT

Selecting
is outside range for that number mode.

HEX

, or

when displayed number

sxn-

1 with one

In Case of Difficulty

If the display is blank, expose the solar panel to

¦

adequate light. Press
Review the operating instructions.

¦

!

and try again.

28

TI Product, Service, and Warranty
Information

TI Product and Services Information

For more information about TI products and services,
contact TI by e-mail or visit the TI calculator home page
on the world-wide web.

e-mail address:
internet address:

Service and Warranty Information

For information about the length and terms of the
warranty or about product service, refer to the warranty
statement enclosed with this product or contact your
local Texas Instruments retailer/distributor.

[e-mail]

http://www.ti.com/calc

29