To unlock these achievements you need to have at least 3 DAEMONS unlocked. That doesn't mean you have to summon three infernal beings, but simply have unlocked some skills in the INTELLIGENCE section (under Breach Protocol).
You start with 1, the one that reduces the usage of RAM for the quickhacks, so you need other 2. The first 2 you could acquire from Intelligence are the 1) MASS VULNERABILITY and 2) the one who shuts down all the cameras in a network for three mins.
Once you got three of them, find an enemy, hold LB and start BREACH PROTOCOL.
The usual minigame will show up as usual: now you need to activate all 3 of them at the same time. It may require a bit of practice to form a code that will unlock all of three of them at the same time without failing, some codes are easier than others and that is up to the RNG god.
Try to upgrade your operating system (ripperdocs), the higher the better, it gives you the possibility to insert longer codes. Thanks to DarqStalker for mentioning it.
A little tip I can give you is that before starting to insert the numbers, try to form a mental path with all the numbers, it'll help in not making any mistakes. As soon as you insert the code that activates all the Daemons, the achievement will pop.
Happy hunting!