The answer to this question will depend to some extent on what you are calling a router and the function that the 'router' is being used for.
Originally in computer networking the function of a 'router' was simply to route packets of data between two different networks, typically when these were using different networking protocols. In this usage the router only controls the flow of the data packets based on the IP address of the destination, it does not control the addresses themselves.
In modern usage the term 'router' has come to be applied to a much more complex device, commonly used at home, to run a small home network and to connect this home network to the internet. These devices contain (primarily) a real router as above and also a network server. In this role one of the functions of the server component of the router is to assign the IP addresses to each of the devices on the home network as they connect to it. So, in this usage - yes the router controls IP addressing. This function is called DHCP or "dynamic host configuration protocol"
You can configure most routers to function as a DHCP server, or turn it off. Most routers have this turned on as default.
IP addresses are assigned by DHCP servers, not by routers. DHCP servers will cache your IP address and reassign the same IP until the cache is cleared. ----
Static IP
TCP/IP (Transmission Control Protocol/Internet Protocol)
MAC addressing. IP addressing. port addressing. specific address.
It is used by both routers and hosts
There are a couple of places where someone can learn about IP addressing. Check out Microsoft's official website for more information and the website called What's My IP.
Actually not all routers are stateless devices. There are stateful routers also. The definition depends on the IP filtering and routing algorithms used. Routers which have static IP filters and routing tables are of the stateless type. Routers with Static IP filters allow direct connections from the external network to hosts on the internal network and typically there is no authentication. More intelligent and secure routers with dynamic IP address and packet based filtering are known as stateful type. Stateful routers can also have application proxies or gateways. These have more overheads for processing packets passing through the routers. - Neeraj Sharma
IP version 4
What are items listed in the This connection uses the following items: field apply to IP addressing?
by using DHCL protocol we can gets that network is to do dynamically but if we when to do that statically we could do that gets all computers gives Ip address
Yes. Routers normally have more than one IP address.
Most routers can be configured with a web based utility by entering the routers IP address in the browsers address text box.