You can play PS3 games on your PS4 with Sony's PlayStation Now streaming service — here's how

You can play PS3 and PS2 games on your PS4 or PC by signing up for PlayStation Now, Sony's game streaming service.

Yes, your PS4 can download games in rest mode — here's how to do it

A PS4 can download games while it's in rest mode. PS4 games can also update while your PS4 is in rest mode.