While it's not actually possible to discuss algo specific requirements (it could be using literally something like 64 KB or up to hundreds of GB depending on what you're doing), there is a clear issue: Modern Windows takes a large chunk out of that 8 GB, especially noticeable once you have any additional kind of software on there. I regard a Windows machine with less than 16 GB as unusable.
With that said, just try it. If you algo is using too much memory, either get a beefier machine or optimize the algo's memory usage (if possible and your time is less expensive than the hardware).