EA has posted the minimum system requirements for The Sims 4. Remember, though, these are the minimum. For an optimal experience, you're probably going to need something a bit better. Unfortunately, EA hasn't yet posted the recommended specs, but for now here's the bare minimum you'll need to at least get the game running (hopefully without error).
MINIMUM SYSTEM REQUIREMENTS:
REQUIRED: Internet connection required for product activation.
OS: Windows XP (SP3), Windows Vista (SP2), Windows 7 (SP1), Windows 8, or Windows 8.1
PROCESSOR: 1.8 GHz Intel Core 2 Duo, AMD Athlon 64 Dual-Core 4000+ or equivalent (For computers using built-in graphics chipsets, the game requires 2.0 GHz Intel Core 2 Duo, 2.0 GHz AMD Turion 64 X2 TL-62 or equivalent) MEMORY: At least 2 GB RAM
HARD DRIVE: At least 9 GB of free space with at least 1 GB additional space for custom content and saved games
DVD-ROM: DVD ROM drive required for installation only
VIDEO CARD: 128 MB of Video RAM and support for Pixel Shader 3.0. Supported Video Cards: NVIDIA GeForce 6600 or better, ATI Radeon X1300 or better, Intel GMA X4500 or better
SOUND CARD: DirectX 9.0c Compatible
DIRECTX: DirectX 9.0c compatible
INPUT: Keyboard and Mouse
The Sims 4 is due to release for PC on September 2, so you still have some time to ugprade your rig if need be. EA had no update on the Mac version of the game.