the fact of being able to exist, live, or work successfully with something or someone else

Every person and pet in a household must visit with the potential new pet to ensure compatibility. 家里的每个人和宠物都必须和可能成为新宠物的动物见面，以保证他们能和睦相处。

the fact of being able to be used with a particular type of computer, machine, device, etc.

I am not impressed by the file compatibility with previous versions. 我觉得文件与先前版本的兼容性不佳。