# Computer numbering system in networking

We can represent a number in a computer in three different ways. Binary number, which consist of zeros and ones. Octal number, which can only be represented by seven number from 0 to 7. Hexadecimal number, which can be only be represented from 0 to 9, and A-F.

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## Exploring Binary Numbers

The binary numbering system is capable of every function that the decimal system, which is based on the number 10.

The decimal system is based on number 10, and the binary number system is based on the number 2. This means that there are 10 and 2 values respectively in each system.

### Understanding the base-2 numbering system

The binary numbering system is called a base-2 numbering system because it has two possible values, which are 0 and 1.

Most of the time working with binary number in networking will be working with IP addressing. When we express IP address human to human or we enter IP address information on devices, we typically use what is called dotted decimal notation. An example of an IP address in dotted decimal notation is **192.121.1.4**

## Exploring Hexadecimal numbering

Another numbering system that is used extensively in computers and networking is the hexadecimal system (or hex for short). It is used to identify cards (MAC addresses), and it is also used when very large numbers need to be represented by using fewer positions or columns than if we used decimal.

A good example of this memory addresses. A memory address is a specific location in memory.

Another area where hex is used is in the new version of internet protocol (IPV6)

### Understanding the base-16 numbering system.

A hexadecimal system uses a base of 16. The base number indicates how many possible values there are in the system. This numbering system contain 10 values from decimal numbering system which is 0-9 and contain six more characters which are **a-f**, one of the advantages of the hexadecimal system is its ability to represent very large numbers by using significantly fewer positions or columns than in decimal.

## Understanding Media Access Control (MAC)

One of the computer component using hexadecimal number is the MAC. These are permanent addresses, sometimes called burned-in addresses are assigned to the adaptors by the manufacturer.

Mac addresses use the hexadecimal numbering system and follow standard formats that identify both the manufacturer and the individual device. There are two formats set forth by IEEE, the most common which is the MAC-48 format. A newer format the EUI-64 format is used with IPv6

To view details about MAC address on windows system we use the command. **ipconfig /all**

Each part of this address communicates information. The address is divided into two sections. The left half of the address is called the **organizationally unique identifier (OUI)**. The right half is called the **universally administered address (UAA)**. Together they make a globally unique (MAC address).