Are you asking how to get your DNS server for a playstation 3 in this forum? If you are.. I shouldn't really help.. but
If your home network is not setup to provide DHCP, then you should speak to the person who setup your home network, they will know the settings.
On your PC you could try and execute 'ipconfig /all' which should list at least 1 DNS server.
you really only need one DNS server (your router should gain 2 from your ISP).. and based on how most ADSL modems are configured you could try these
Then try all of the above with 10.0 for the first 2 place holders. So...