The very nature of philisophical questions like these get us to the crux of OUR beliefs and what they truly mean.
In this case the question is, truly, Can God sin> in other words, IF sin is going agianst the rules of God, can God break God's own rules? and if he can't, is he Omnipotent? and If God can't sin, how doe sone explain the acts attributed to God that are sinful if done by Man?
If God CAN sin, would he ever? and if Yes, does that Stop God from being God? and if Yes, how can God judge man for the "same" sin ?
Some have considered the irrationality of the above issues and concluded that the general Biblical idea of God is itself irrational.