Minecraft would probably run on a gameboy so I think you're fine.
Your listed as a home build system expert with advice like that? Minecraft is not optimized very well for graphics and any LOW END GPU can't handle it. Even a brand new netbook (yes, crappy 1.3Ghz netbook) can't run Minecraft. The gameboy hardware ran at 4.19 Mhz.. Your post is completely useless and makes people think that any modern computer can run it without an issues, which is EXTREMELY incorrect.