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Tech Info - Hexadecimal, Decimal and Binary

The contents of any memory location or value can be expressed in many numbering systems. The most commonly used numbering systems in the Information Technology (IT) world are Decimal, Hexadecimal and Binary:

Numbering System Base Range Notes
Decimal base 10 0 - 1,2,3... The most common numbering system - dollars, metric etc.
Binary base 2 0 - 1 The basic level at which the electronic circuitry in a computer works i.e. a single bit.
Hexadecimal base 16 0-9, A-F Each Hexadecimal character represents 4 bits (0 - 15 decimal) which is called a nibble (derived from byte - honest!). A byte (or octet) is 8 bits so is always represented by 2 Hex characters.

Some examples using an 8 bit byte (an octet):

Decimal Hexadecimal Binary
0 00 0000 0000
1 01 0000 0001
2 02 0000 0010
3 03 0000 0011
4 04 0000 0100
5 05 0000 0101
6 06 0000 0110
7 07 0000 0111
8 09 0000 1000
9 09 0000 1001
10 0A 0000 1010
11 0B 0000 1011
12 0C 0000 1100
13 0D 0000 1101
14 0E 0000 1110
15 0F 0000 1111
16 10 0001 0000
65 41 0100 0001
187 BB 1011 1011
255 FF 1111 1111

To convert a dotted decimal IPv4 address to hexadecimal, take each dotted decimal value and convert it using a hex calculator (standard windows calculator in scientific mode will do the job). This will yield:

IP address in dotted decimal = 192.168.0.5
Decimal 192 = Hexadecimal = C0
Decimal 168 = Hexadecimal = A8
Decimal 0   = Hexadecimal = 00
Decimal 5   = Hexadecimal = 05
IP Address in dotted hex = C0.A8.00.05


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