Does hibernating a computer cost money?

Hibernating a computer costs no more than turning it off. All computers have RAM and a HDD. The ram stores information temporarily which is lost when power is lost, while the HDD is used for long term storage and is kept when power is lost. When you hibernate your computer it saves everything it is proccessing on the RAM at the time to the HDD. Then when you turn your computer back on it moves all the proccesses back onto the RAM. So... no, it shouldn't cost anymore than turning it off.