Date post: | 15-Jul-2015 |
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Technology |
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•Bit - a fundamental unit of
information having just two
possible values, as either of the
binary digits 0 or 1.
•Byte - a unit of digital information
in computing and
telecommunications that most
commonly consists of eight bits.
DIGITAL REPRESENTATION•Within a computer, information is
represented and stored in a
digital binary format.
• The term bit is an abbreviation of
binary digit and represents the
smallest piece of data.
• Humans interpret words and
pictures; computers interpret
only patterns of bits.
NUMBERING SYSTEMS
•Number System Base Symbols used
• Binary 2 0,1
•Octal 8 0,1,2,3,4,5,6,7
•Decimal 10 0,1,2,3,4,5,6,7,8,9
•Hexadecimal 16
0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F
where A = 10; B = 11; C = 12; D =
13;
USING POSITIONAL NOTATION
USING DOUBLING
Use this method to convert
from any base to decimal. Doubling is
used because the given number is of
base 2. If the given number is of a
different base, replace the 2 in the
method with the base of the given
number. For example, if the given number
is in base 37, you would replace the "x 2"
with "x 37". The final result will always be in decimal (base 10).
CONVERT DECIMAL NUMBERS TO BINARY
• Example:
25
25/2
12/2
6/2
3/2
1/2
25 = 11001
Quotien
t
12
6
3
1
0
Remaind
er
1
0
0
1
1
CONVERT DECIMAL NUMBERS TO BINARY
Checking:
1 1 0 0 1 multiplier
16 8 4 2 1 equivalents
16 8 0 0 1 results16+8+0+0+1 = 25
•Direction: Convert the decimal
numbers shown below to binary.
Perform checking to verify
answers.
1) 19
2) 28
3) 37