if you are looking for a xmas present for your tec-friend, what about an Xmas light strip for your N7 or other OTG devices?
Here it is.
i build a 180 degree flashlight for the n7 which u can stick in and use it for taking fotos in the dark or for the front cam for skyping.
fotos and videos will follow.
this should be an open project. invention like using the led...
if only the screen broken, so u can buy a slimport mhl adaptor and keyboard. plug your phone on tv, so it becomes to a smart tv.
or best choice is to buy a lapdock. so plug the nexus4 with the slimport on the lapdock and u will get an android pc....
maybe this suggestion will be work but i am not for sure.
i will take no reponsibilities of damages!
1. try to change battery.
2. unsoldered the battery from tablet and try to to relive with the correct charger ( maybe cut the cable of charge...