These are the optimal (high visual quality) system requirements for Battlefield 4:
Quad core CPU (Intel Core i5 or i7) at 3 Ghz
4 GB memory (8 GB for 64-bit operating systems)
A modern DX11 graphics card with 2+ GB of video memory, GeForce 600 series or Radeon 7000 series
Windows 7 64-bit operating system (Windows 8 is supported as well)
30+ GB of free harddrive space
(i got this information from a random website, not sure if it's correct)
-So yeah, your computer will be able to run it in a decent visual quality (@ 25-30 FPS, the FPS will improve if you lower the graphics settings a bit)