A team can have up to four compensatory draft picks -- extra picks a team gets when it loses more free agents than it signs -- in a year. While the comp picks, maxed out at 32 across the league, are a moving target for now with free agency ongoing, the Cardinals seem to be in line for four extra choices. The actual formula remains a secret, but enough people have been working on it enough that a general idea of where the picks land can be estimated. Overthecap.com credits the Cardinals (as of now) with an extra third-rounder, an extra fourth-rounder, an extra fifth-rounder and an extra sixth-rounder in the 2018 draft.
Calais Campbell nets the third-round pick. Tony Jefferson the fourth-rounder. Marcus Cooper gets a fifth-rounder, and although the loss of D.J. Swearinger is canceled out by the signing of kicker Phil Dawson, Kevin Minter's departure gets a sixth-rounder. The losses of Earl Watford and Alex Okafor are offset by the signings of Karlos Dansby and Jarvis Jones.
Again, this is an estimation. The league doesn't release the formula, and other things eventually can be involved, including playing time and postseason honors. But if the Cards end up with four extra picks, that wouldn't be too bad. There doesn't seem to be much percolating with any new signings right now, which would mean more extra picks at this time next year.