Your biggest problem is going to be the 4 GB of RAM. Saving a few hundred megs on the DE will help but not much. If you run a web browser ( and I cannot imagine using a computer without one ) that RAM is going to fill up fast.
Honestly, I would use a 32 bit distro on that hardware.
Q4OS with Trinity, Antix, Adelie, and DSL are all pretty decent options.
Your biggest problem is going to be the 4 GB of RAM. Saving a few hundred megs on the DE will help but not much. If you run a web browser ( and I cannot imagine using a computer without one ) that RAM is going to fill up fast.
Honestly, I would use a 32 bit distro on that hardware.
Q4OS with Trinity, Antix, Adelie, and DSL are all pretty decent options.