D-Link DES-3326S manual Binary to Decimal Conversion

DES-3326S Layer 3 Fast Ethernet Switch User’s Guide

grouped together in bytes, or eight bits. (A bit is a binary digit – either a “1” or a “0”). The dots (periods) simply make the IP 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 -	0.0.0.0
Highest possible IP address -	255.255.255.255

To convert decimal numbers to 8-bit binary numbers (and vice- versa), you can use the following chart:

Binary Octet Digit	27	26	25	24	23	22	21	2
								0
Decimal Equivalent	128	64	32	16	8	4	2	1
Binary Number	1	1	1	1	1	1	1	1
128+64+32+16+8+4+2+1=
255
Table 5-8. Binary to Decimal Conversion

82 Switch Management and Operating Concepts