If it's Windows 7 or Vista 64-bit - it will run but expect long transcoding, rendering and encoding times and possibly other issues. E.g. after you import the AVCHD or H264 HD video from the camera, it's highly unlikely it will play right away - you'd have to wait till it's transcoded.
If it's anything other than 64-bit Win7 or Vista - no; at least not Pr or AE CS5.x; you have to use CS4.
If there is any budget to upgrade this system a bit, it's (1) an extra internal hard drive (or a USB 3.0 card with a USB 3.0 external 7200rpm HDD), (2) a faster graphics card, (3) another 4GB RAM.
Alex (
DV411)