It's not about computer, it's about which wireless adapter you are going to use. If you want take advantage of Wireless-N, you have to have a wireless adapter N.
The difference between an N and a G router is all in what the purpose of your router is for. You need to see if you are using it for a personal or business use.
You can use router of G or N type and the same type wireless adapter. Of course you can use wireless N adapter with G-type router and reverse.
If you are currently using G then step up to N and also make sure to buy a wireless N receiver for your computer or the router is useless. If you are currently using G then step up to N and also make sure to buy a wireless N receiver for your computer or the router is useless.
N adapter should work with G router but you probably won't gain any speed. Both ends need to be N, I think -- and preferably from the same brand.
Yes, it will be able to connect to your B network however it will only run at the B speed. If you want to take advantage of the 802.11n speeds you will need to upgrade the router.
Yes, however, your internet speed will only be that of the G router which is comparably slower than that of an N router.
If your router is configured to work in G mode only, then the answer is yes. If the router is configured to use mixed mode (B and G), then the answer is no. N type adapters will perform as they are supposed too (if the router is configured properly).
To use advantages of N type network you need to have both devices of N type.
Yes you can because the modem router has a modem built in. There are different types of modem routers that suit different needs. If you are only going to be surfing the web you will need a "N" modem router, if you are going to be sharing files then you will need a "N+" modem router and if you are going to be gaming e.g. connecting to a Xbox 360 or PlayStaion 3 you will need a "N+N" modem router, I would personally recommend Belkin modem routers. Hope you find this useful!
D-Link RangeBooster N Dual Band Router would be the best router to use in this case.
802.11
Yes.