D-Link DES-3326SR User Manual page 71

DES-3326SR Layer 3 Fast Ethernet Switch User's Guide
address easier to read. A computer sees an IP address not as
four decimal numbers, but as a long string of binary digits (32
binary digits or 32 bits, IP addresses are 32-bit addresses).
The three IP addresses in the example above, written in binary
form are:
1. 11010010.11001010.11001100.11001101
2. 10111101.00010101.11110001.00111000
3. 01111101.01010111.00000000.00000001
The dots are included to make the numbers easier to read.
Eight binary bits are called a 'byte' or an 'octet'. An octet can
represent any decimal value between '0' (00000000) and '255'
(11111111). IP addresses, represented in decimal form, are
four numbers whose value is between '0' to '255'. The total
range of IP addresses are then:
Lowest possible IP address -
Highest possible IP address -
To convert decimal numbers to 8-bit binary numbers (and vice-
versa), you can use the following chart:
Binary Octet Digit
Decimal Equivalent
Binary Number
128+64+32+16+8+4+2+1=
255
Table 5-8. Binary to Decimal Conversion
Each digit in an 8-bit binary number (an octet) represents a
power of two. The left-most digit represents 2 raised to the 7
power (2x2x2x2x2x2x2=128)
0.0.0.0
255.255.255.255
7 6 5 4 3
2 2 2 2 2
128 64 32 16 8
1 1 1 1 1
while the right-most
59
2 1
2 2 2
0
4 2 1
1 1 1
th
digit