Understanding signal levels?

Is there some mathematical way to make sense of db levels? EG- Let's say I buss 5 signals that are all set to -4db (none of which come close to clipping) to a common aux channel. Is there a way to predict what the peak level of the aux channel will be based on mathematically adding together what the signals are in some way?
I ask this question because I'm always confused why I can have a bunch of signals that aren't clipping but when I combine all of them into a submix they will clip... I'd love to make better sense of all this.
Thanks for any help!!

Here's a good reference:
http://www.engineeringtoolbox.com/adding-decibel-d_63.html
There's a nice chart in there showing how sources sum in dB. For instance, given your five bus example, you'll get a 7 dB increase in level. So, if all your sources are close to clipping, you need to pull them all down -7dB to ensure the bus doesn't clip.
Then again, keep in mind that Logic mixes floating-point, so it really doesn't matter if your bus input clips--just pull down the bus fader, and you won't get any distortion at the bus output. I'm with you, though--I tend to keep the red lights away... more superstition than anything else
-James

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