The original PlayStation 4 and PlayStation 4 Slim do not support upscaling, but if you own a 4K TV, the upscaling is handled by the TV itself. PlayStation 4 Pro, on the other hand, supports a technology far superior to upscaling, called checkerboard rendering and the resulting differences are outstanding.
Can 1080p be upscaled to 4K?
It can take lower-resolution content and display it on the entire 4K screen. Upscaled 1080p content on a 4K screen often looks better than 1080p content on a normal 1080p screen. But upscaling isn't magic—you won't get the sharp image you would from true, native 4K content.
Can I turn my PS4 into 4K?
Your PS4 Pro system should automatically enable 4K if it detects a 4K compatible device connected to it. To make sure 4K and the highest possible resolution are enabled: From the home screen go to Settings > Sound and Screen > Video Output Settings. Set the Resolution to 2160p - YUV420 or 2160p - RGB.