Question about a PC build and BF4

I want to get into PC gaming, and this is the setup I’m currently looking at. How well would this handle BF4? Win7 or Win8? (I have a 1TB HDD from my old computer)

PCPartPicker part list / Price breakdown by merchant / Benchmarks

Type Item Price
CPU AMD FX-6300 3.5GHz 6-Core Processor $117.97 @ SuperBiiz
Motherboard Gigabyte GA-78LMT-USB3 Micro ATX AM3+ Motherboard $47.99 @ NCIX US
Memory Kingston Black Series 8GB (2 x 4GB) DDR3-1600 Memory $49.98 @ PCM
Video Card MSI Radeon HD 7850 2GB Video Card $109.99 @ Newegg
Case NZXT Source 210 (Black) ATX Mid Tower Case $34.72 @ Amazon
Power Supply EVGA 500W 80+ Bronze Certified ATX Power Supply $29.99 @ Microcenter
Optical Drive Lite-On iHAS124-04 DVD/CD Writer $14.99 @ Newegg
Total
Prices include shipping, taxes, and discounts when available. $405.63
Generated by PCPartPicker 2013-11-16 15:43 EST-0500

/r/buildapc /r/buildapcforme

Looks pretty good. should play BF4 on High settings with FXAA at 1080p.
Probably better than the Xbox one and around the same hardware level as the PS4.