I try to see my system statut but I can't:)

192.168.0.1 isn't a system status report, it's a configuration page for some different types of network hardware. If you've got a router you're trying to configure, you have to be sure you're using the right address. Click start, go to RUN, type CMD and hit enter. Then type ipconfig /all and hit enter again. The number listed under "Default Gateway" is generally what you would go to if you wanted to configure a router.

It may also be the address of the first computer on the LAN.

I'm not quite sure what you mean by that... Default Gateway is the node in the network that packets are to be sent to if a subnet that matches the destination for the packet isn't found in the routing table of the local computer. So, it will always be a router, unless you don't want to be able to connect to anything outside your subnet.

The default gateway address can be anything. I could make it 192.168.0.34 if I wanted to.
It seems easy to make it 192.168.0.1 by convention. Maybe, someone else likes 192.168.0.254 as their gateway.

Besides, you can have two gateways. Selected and used based on a metric, but only one default gateway. Thus, you can have a backup gateway would your primary one fail.

It depends upon whether you have a router in your LAN or if it just a hub or similar arrangement.

192.168.0.1 is the default gateway for a single PC which is not a part of any network. We can configure router from web browser by logging through this address. Of course 192.168.xxx.xxx can be the manually configured address of a computer in a network.

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