Best build for 500?

Well, the build with 650ti boost isn't including the price for it, so you will need to add about $150 onto that $475 lol the first one is fine except for the ram. 4GB won't run BF3 on Ultra flawlessly, especially when you're running 1 stick in dual channel.

You will get High pretty good is my guess, but not flawless. I would get either 2x4GB or 2x2GB. Other than that, should be ok.

Look at this build. Comes out at exactly $500, with a new R7 260X. The 260X benchmarks BF3 Maxed out Ultra with 4x AA averaging 40 fps. This build also gets you 8GB of RAM

http://pcpartpicker.com/p/2uoYl
 

Computer__GUY

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I'd look for a 3.5" HDD as oppose to a 2.5" as your case does not have a 2.5" bay unless you buy an adapter for an extra few dollars.
I also agree with HiTechObsessed about the RAM which is only 4GB, look for 2x 4gb's sticks which you can dual channel.
Another thing I picked up on is that your motherboard doesn't support crossfire so therefore if you are thinking about adding another card in the future, you will also have to get a new motherboard.
Finally, there is a possibility that the processor may bottleneck your graphics card in the first build. Perhaps go for an 8150 instead.
The second build is a bit better but keep in mind that the GTX 550ti is not a very powerful card and you may want to look into getting something better for playing Battlefield on ultra as this card will only be able to handle it on high.

Here is a build which I suggest. For the small budget, I tried my best and it should just about be able to handle Battlefield on ultra at a steady 30 FPS:

PCPartPicker part list / Price breakdown by merchant / Benchmarks

CPU: AMD FX-6300 3.5GHz 6-Core Processor ($109.99 @ TigerDirect)
Motherboard: Gigabyte GA-78LMT-S2 Micro ATX AM3+ Motherboard ($47.49 @ Newegg)
Memory: Corsair Vengeance 8GB (2 x 4GB) DDR3-1600 Memory ($87.32 @ NCIX US)
Storage: Seagate Barracuda 500GB 3.5" 7200RPM Internal Hard Drive ($49.99 @ Amazon)
Video Card: Sapphire Radeon HD 7850 2GB Video Card ($153.98 @ SuperBiiz)
Case: Antec One ATX Mid Tower Case ($29.99 @ NCIX US)
Power Supply: Corsair CX 430W 80+ Bronze Certified Semi-Modular ATX Power Supply ($33.98 @ Newegg)
Total: $512.74
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-01-02 14:46 EST-0500)

Slightly over budget but it should give you some good performance especially for the amount of money paid. I have both the motherboard and processor in this build, both of which I highly recommend.

Hope I helped and good luck with your build!
 


OP, I like this build, the 7850 is a little better than the 260x I linked. I would, however, save $20 and get cheaper RAM (RAM is RAM) and would use $10 of that to get a 1TB HDD, and you would come out at $502.

This will let you play BF3 maxed out at 40+ fps, with 30+ in a full multiplayer game.