I am assuming a 1GB 650Ti here, but even then the experience may be less than stellar. Your CPU is quite a ways below the quad core i5 or i7 chips that one would prefer to have running this game.
However, you do meet the bare minimums required. I suspect that performance will be inconsistent as game environments change and may end with you playing on low settings.
With BF4 on PC, you will be using Origin. In theory, you could buy the game, try it, and if it doesn't run well enough, you could use the Great Games Guarantee to get your money back. In theory.