Chapter 20: number bases – Texas Instruments PLUS TI-89 User Manual

Page 360

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Chapter 20: Number Bases 343

20NUMBAS.DOC TI-89/TI-92 Plus: Number Bases (English) Susan Gullord Revised: 02/23/01 1:17 PM Printed: 02/23/01 2:19 PM Page 343 of 6

Chapter 20:
Number Bases

Preview of Number Bases..................................................................... 344
Entering and Converting Number Bases............................................. 345
Performing Math Operations with Hex or Bin Numbers .................. 346
Comparing or Manipulating Bits .......................................................... 347

Wherever you enter an integer in a

TI

-89 / TI-92 Plus

calculation,

you can enter it in decimal, binary, or hexadecimal form. You can
also set the

Base

mode to specify the form for displaying integer

results. Fractional and floating-point results are always displayed
in decimal form.

Binary numbers use 0 and 1
in the base 2 format:

100

Hexadecimal numbers use
0 – 9 and A – F in the base 16
format:

A8F

You can use the

TI

-89 / TI-92 Plus

to convert a number from one

base to another. For example, 100 binary = 4 decimal and A8F
hex = 2703 decimal.

Hexadecimal numbers are often used as a shorthand notation for
longer, hard-to-remember binary numbers. For example:

1010 1111 0011 0111

The

TI

-89 / TI-92 Plus

also lets you compare or manipulate binary

numbers bit-by-bit.

20

Note: The MATH/Base
menu lets you select from a
list of operations related to
number bases.

Dec

Base 10

Bin

Base 2

Hex

Base 16

0
1
2
3
4
5
6
7
8
9

10
11
12
13
14
15
16

0000
0001
0010
0011
0100
0101
0110
0111
1000
1001
1010
1011
1100
1101
1110
1111

10000

0
1
2
3
4
5
6
7
8
9

A
B
C
D
E
F

10

A

2

0

щ 0 = +0

2

1

щ 0 = +0

2

2

щ 1 = +4

16

0

щ F = +15

16

1

щ 8 = +128

16

2

щ A = +2560

F

3

7

AF37 hexadecimal is usually easier to work
with than 1010111100110111 binary.

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