NAT
The basic principle of NAT is that many computers can "hide" behind a single registered IP address or a group of registered IP addresses. Using NAT means that, in its most basic implementation, only one registered IP address is needed on the external interface of the system that is acting as the gateway between an internal private network and an external public network such as the Internet.
A system performing the NAT service funnels the requests that are given to it to the external network. For instance, a client requests a website, and the request goes through the NAT server to the Internet. To the remote system, the request looks like it is originating from a single address, that of the NAT server, and not the individual client systems making the request. The system that is performing the NAT function keeps track of who asked for what and makes sure that when the data is returned, it is directed to the correct system.
Servers that provide NAT functionality do so in different ways. For example, it is possible to statically map a single internal IP address to a single external one so that outgoing requests are always tagged with the same IP address. Alternatively, if you have a group of public IP addresses, you can have the NAT system assign addresses to devices on a first-come, first-serve basis. Either way, the basic function of NAT is the same.