The best and the simple way of getting the absent hours is through a pivot table. You just need to have a helper column which would get the "year" from the dates.
or
As said by Luke, you can get those absent hours by using SUMIFS formula. Please refer to the link if incase you need more details
@Luke M: Thank you for attempting to open. I apologize for the difficultly. SUMIF/COUNTIF is a great idea. Thank you for the input.
@Raja: Thank you for taking the time to work my sample. It made understanding very simple. Thank you.
@bobhc: Thank you for modifying my example as well. Greatly appreciated. The pivot table seems to be headed in the right direction as well, but I need to calculate the total for the year. It should be a simple fix.
Thank you all for the contribution. I am going to tinker some more now that I had some help. You all are really Excel ninjas...I have a ways to go.