Your monitor has a maximum of resolution of 1600x1200.
High Definition is 1280x720 lines of resolution and above, so I would assume that you would be able to use your current monitor.
I bought the SyncMaster 204Ts LCD monitor some years ago, I guess it's now old as far as hardware goes but I'm still completely satisfied with it and would hate to have to replace it.
I'm looking however into getting a new computer, my current one really isn't cutting it anymore. There's one I have my eyes on, however, in the description there is a note that says a full HD compatible monitor is required (graphic card is ATI Radeon HD 4350). Now my question, would my current monitor work or would I have to get a new one? I would be grateful for all help you can give me, thank you!