Questions about Sony Mdr-Ex15ap

The headphones do not have active noise cancellation (ANC). Instead, they offer a closed design that provides some isolation from ambient noise. The noise cancellation in the features refers to the passive isolation provided by the closed-back design and the ear tips supplied, not ANC.

No, the PS4 itself no longer has analogue audio connections. An adapter from optical to 3.5mm jack would be more expensive than the headphones. BUT there are controllers with 3.5mm jack connectors, then it would work. Here are some good recommendations: http://www.ps4-kaufen.com/gaming-headset-playstation-4/