I'm sleep deprived, too, so I understand your situation.
But, my baby is actually university and the tests.
Atleast when you're hugged by your child, you understand why you're doing that.
But, with college is nothing like that.
Just study, study, study until you pass.
Ahaha, but you dont. You hug your child and its like a little island in the storm and then at three in the morning you just keep thinking Why? Why did I do this to myself? The hug dont seem so important then, lol