$600 Dollar Gaming Build

[Samington28]

Well so far I have a Bitfenix Prodigy case and a ASUS P8H77-I Motherboard. I would like to have an Intel Core i5 if thats possible. But I was wondering if I could have that i5 and still have a desent gaming system that could play BF4. If so, please give me the links to the parts. If not, would an i3 still be able to play BF4 well? I wouldnt like to go to much over $600. Thanks For Your Help.,

 

[PepitoTV]

Consider this:

PCPartPicker part list / Price breakdown by merchant / Benchmarks

CPU: Intel Core i5-3350P 3.1GHz Quad-Core Processor ($176.98 @ SuperBiiz)
Memory: Crucial Ballistix Sport 8GB (2 x 4GB) DDR3-1600 Memory ($69.98 @ OutletPC)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($58.98 @ OutletPC)
Video Card: Asus GeForce GTX 760 2GB Video Card ($249.98 @ SuperBiiz)
Power Supply: XFX 650W 80+ Bronze Certified Semi-Modular ATX Power Supply ($44.99 @ Newegg)
Optical Drive: Asus DRW-24F1ST DVD/CD Writer ($15.98 @ OutletPC)
Total: $616.89
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2013-11-27 15:18 EST-0500)

These parts are compatible with the case and mobo you listed, and both the 3350p and the GTX 760 can move BF4 at high settings fluently.