If awake is Being and being asleep is non-Being what happens when you sleep?

 "To Sleep Perchance to Dream" has been marked on many gravestones especially since Shakespeare wrote this (or Francis Bacon) or someone else.

So, thinking in this way Non-Being is this sleeping whereas being awake is Being.

But, what happens when we sleep?

Let me ask this differently. What happens when we die? Is it dreaming or is it sleeping or is it both?

I equate sleeping and death as about the same except when you sleep you wake up and you are still in a human body on earth.

So, "To Sleep Perchance to dream" is one of the best descriptions of what death likely is for all of us.