Chapter 20: Number Bases - Texas Instruments TI-89 Manual Book

Chapter 20:
Number Bases
20
Note: The /Base
MATH
menu lets you select from a
list of operations related to
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
you can enter it in decimal, binary, or hexadecimal form. You can
also set the mode to specify the form for displaying integer
Base
results. Fractional and floating-point results are always displayed
in decimal form.
Binary numbers use 0 and 1
in the base 2 format:
100
0
ù 0 = +0
2
1
ù 0 = +0
2
2
ù 1 = +4
2
Hexadecimal numbers use
0 – 9 and A – F in the base 16
format:
A8F
0 ù F = +15
16
1
ù 8 = +128
16
2
ù A = +2560
16
You can use the
TI-89 / TI-92 Plus
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
A F 3 7
The
TI-89 / TI-92 Plus
numbers bit-by-bit.
TI-89 / TI-92 Plus
Dec
Base 10
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
to convert a number from one
AF37 hexadecimal is usually easier to work
with than 1010111100110111 binary.
also lets you compare or manipulate binary

Chapter 20: Number Bases

calculation,
Bin Hex
Base 2 Base 16
0000 0
0001 1
0010 2
0011 3
0100 4
0101 5
0110 6
0111 7
1000 8
1001 9
1010 A
1011 B
1100 C
1101 D
1110 E
1111 F
10000 10
343