Cable Router / Modem

[Hessah]

At home, we've got cable Internet, and the cable goes into a modem, then a router is connected to the modem and all the computers connected to the Netgear router.

Now, this stupid Netgear router drops the wireless off every few days, and we need a new router.

I went onto our ISP's website and they've got a list of approved Modems:

Motorola
SB4100, SB4101, SB4200, SB5100, SB5101
Netgear
CG814WG, CVG824G, CG3000
CISCO
EMTA2203, DPQ3212, DPQ3925

Will these ones on the list replace both the router and the modem that we've got?