You can activate your PlayStation 4 on the system itself. You cannot activate your PlayStation 4 using a PS Vita, PS TV, PSP or a computer connected to the internet.
To activate your PlayStation 4 as your Primary system:
You can activate one other PlayStation 4 system so you can access your PlayStation Store content. This activation is temporary and lasts for only as long as you are logged into and active on PlayStation Network on this PlayStation 4. Find out more about accessing your content from another PlayStation 4 system.