LoL, that's the first time I see someone that wants their computer to be unstable! 
Just kidding, I understood your question.
Last time I tried to install on a 512MB machine (whick I'm guessing is 32 bits?) had to go to the 2.8 Linux Lite.
Unfortunately, it's not supported anymore (since April), but can still be installed of course.
Problem will arise when trying to open Firefox and browsing the web though.
At the time I tried BodhiLinux since it had a smaller footprint but the installer itself "choked" because of the limited memory.
I had to "clone" an install from another machine to get it running.
The interface was too weird and the Midori Internet browser wasn't up to par and crashed a lot.
So, put 2.8 on it. Slow but worked. (internet browsing limited though).
I would try to get the machine to 1GB and using Linux Lite 3.8 if possible.
Just kidding, I understood your question.
Last time I tried to install on a 512MB machine (whick I'm guessing is 32 bits?) had to go to the 2.8 Linux Lite.
Unfortunately, it's not supported anymore (since April), but can still be installed of course.
Problem will arise when trying to open Firefox and browsing the web though.
At the time I tried BodhiLinux since it had a smaller footprint but the installer itself "choked" because of the limited memory.
I had to "clone" an install from another machine to get it running.
The interface was too weird and the Midori Internet browser wasn't up to par and crashed a lot.
So, put 2.8 on it. Slow but worked. (internet browsing limited though).
I would try to get the machine to 1GB and using Linux Lite 3.8 if possible.
- TheDead (TheUxNo0b)
If my blabbering was helpful, please click my [Thank] link.
If my blabbering was helpful, please click my [Thank] link.