Short bio: Computer Scientist, FOSS supporter (read more)
Tux Machines (TM)-specific
There are plenty of reasons for wanting a low-resource distro running on your computer. Maybe you have some ancient hardware that you need to breathe new life into. Perhaps you want something that will fit on a modestly sized memory stick. Or it might be that you want to run 200 virtual machines simultaneously on your desktop.
The important things that we'll look at here are the amount of space needed, how much processing power is required to get the distro running at an acceptable level, and the effort required to get it to work. Something to bear in mind is that one of the ways in which developers are able to create slimmed-down distros is by ditching the scripts and wizards that we've come to take for granted. This can complicate tasks that you might expect to be straightforward, such as installing software.