The brain is an incredible machine. It tries to isolate all the known noises. So you have a phenomenon where people fall asleep while the usual noises can be captured by the ear, but when a new noise - as in unidentified - jumps in, you suddenly wake up.
If you can keep all these noises to a minimum, by switching off (not off mode, really off) such devices, will enhance your sleep quality. Keeps the brain less busy.
Also note that digital devices (especially routers and digital players) raise the room temperature by at least a couple of Celsius degrees, sometimes more[1]. Ideally, no working device should be on the bedroom while you're sleeping.
[1] I had a Dreambox-500 PVR in my bedroom. Apart from the incredible noise, when it was running during the day, the temperature was at least 6 Celsius higher, with no windows/doors open.
I think you meant something different, but I'm not sure what. murmurs? noise?