Could I run Starcraft 2?

What is your processor just out of curiosity?

AMD Quad-Core A6-3600 APU 2.1 Ghz. And i also have 4 GB of RAM if that helps.

Also is this a laptop?

No, its a desktop. I know that its not very good. I didnt really buy it for gaming just for school work. It handles League of Legends at 60fps on highest settings if that helps also.

You'll be able to run it at low to medium.

http://www.anandtech.com/show/5771/the-intel-ivy-bridge...

6530D is roughly equal to Intel's HD4000 according to http://www.tomshardware.com/reviews/gaming-graphics-car...

I can't really find anything on that card... You can play a lot of games on integrated graphics on low settings though. What's you actual computer? You should upgrade to a dedicated video card.

Ok thanks for the responses guys and for taking your time to help me. Ill download the demo for now and if it plays well then ill buy the full game if i like it. My actual computer is a gateway computer that i got around June. This is it.
http://www.bestbuy.com/site/Gateway+-+Desktop+-+4GB+Mem...

You should try popping apart the case and getting into your motherboard. Look and see if it has a PCI Express slot. If so at the minimum you could get a cheap low profile card and your gaming experience would be a lot better.

K. If it does i have a 300 W Power supply i think so what type of graphics card could i get for around $100? Also i usually only play strategy games like company of heroes which i can run on ultra settings with good framerates, but i dont think i will be able to run company of heroes 2 which is coming out soon? So what type of graphics card do you think i could get to run that game?

Radeon 7750/7770. Anything higher than that would require better PSU and CPU.

http://www.anandtech.com/show/5541/amd-radeon-hd-7750-r...

K thanks ill look into that and do you know what settings those cards could run company of heroes 2 on?

I'm sure they'd run it near max if you reduce physics/shadows/AA (same goes with SC2 in single player/1v1/2v2)

With 300 W you need to be really careful on how good of a card you get. Especially on a factory built computer. I'm assuming you're going to need a really small card to fit in that little case too.

I think this card will be good for your computer.
http://www.newegg.com/Product/Product.aspx?Item=N82E168...

The entire case is about 36 inches width and 26 inches width. Also i was leaning towards the 7770 right now.

I think it would be a good choice for you. As long as you have the PCI Express slot, (which most modern mobos do) that should work fine for you. Then you'd be able to play games with much less stress  

Ok thanks and i have a 300w power supply so it should run fine right?

It should be okay but that's about borderline.

The 7770 will need a 6 pinpower connector, make sure that your psu has one before getting it. If not go for the 7750 as it gets all it's power from the pci-e slot.

Yeah, 300W will be enough for 7770. Make sure you get the one with 2 free bundled games such as this one:
http://www.newegg.com/Product/Product.aspx?Item=N82E168...

Edit: and to add to what grumbledook said, even if you don't you can get molex to pci-e adapter
http://www.newegg.com/Product/Product.aspx?Item=N82E168...

Edit2: Just to reassure you, here's some power consumption data
http://www.guru3d.com/articles_pages/amd_radeon_hd_7750...

Note that the CPU they used (i7 965) requires alot more power than yours.