Black Ops 1 and 2 are not available on the PlayStation 4 (PS4) due to several reasons. One of the primary reasons is that both games were developed for the previous generation of consoles, specifically the PlayStation 3 (PS3), Xbox 360, and PC.
Disc installations on consoles\n\n Insert a game disc into your console's disc drive. The game will automatically install on PlayStation consoles. On Xbox consoles, you'll be prompted to install the game. Please note: Call of Duty: Modern Warfare II requires a Day One update in order to play the game.