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What sorts of jobs are you looking to have when you're done with your CompSci degree?
If you are going for a purely computer science job, you'll likely end up being a systems analyst or business analyst, maybe a software designer or programmer. Keep in mind that the world stage for development jobs is shifting a bit with the outsourcing movements that are happening today.
You do need to keep in mind that there will be some prerequisites to this. For my M.S. degree I had to complete some lower-level programming classes, take a class or two on algorithm analysis and desgin, etc. So you will likely have some similar prerequisites that you'll need to meet before beginning your M.S. degree.
I would agree with another responder to this question - a B.S. in Accounting + Computer Science would be a strong combination for someone in the consulting industry. Many organizations need someone who can advise them on how to setup large accounting systems. Someone that understands a GL account structure who also knows how the software is likely built to run will be a strong contributor.
Definitely doable but have you considered an MBA in IT? With a Comp Sci degree program you'll have a few prereqs you wouldn't have in a business program like a couple semesters of physics and some programming courses. You probably already have math covered assuming you've taken stat and calc. Step 1 for a MS in comp sci is to check out the prereqs of the programs you're interested in. I'd also see what businesses come to each campus to recruit so you'll know what to expect when you graduate. Of course great grades are a must for recruiters.
Your accounting degree could complement your IT career nicely either with an audit firm or in an IT department supporting finance and controller functions so think carefully about the MBA option.
Do you know what you want to do once you graduate?