I'm not an expert, but I think that people who are will need to know more details about what kind of animated video you're trying to create. In other words, potato-level animations can probably be done with potato-level hardware, while Pixar-level animations will require super high-end hardware. I would say that as a basic guideline, if your PC can play games with animation of the quality level you're looking for, it can probably create those animations as well.

As a starting point, you would do well to review Blender's hardware requirements.

Edit: PS: Another major detail to provide is whether you are asking about 2D animations or 3D animations. The requirements for 3D animations tend to be much higher than those for 2D.