I have an xbox 360 arcade and I want to download the extra content from the fable 2 limited edition game that I have. how do I set this up when the network adapter won’t even light up when I plug it in?

Can you use the network adapter from the orginal Xbox and use it for the Xbox 360? Cuz the 360 one is 0.00 and it’s rediculous pricing. I need internet access to play Xbox Live from upstairs. Any help would be appreciated, thanks!