It has 4 inputs and the formula is F(A,B,C,D) = Ʃ(0,1,3,4,8,9,15).

The problem is, I can only use the following gate which has 3 control lines , and only 8 inputs. This is the chip I am given to use:

Here is my truth table.

The only way I can see this working is to group the table into 2's (as I have done in the table). My professor has told me that I am on the right track and he can't help me anymore because I practically have the answer. The problem is, I have no clue

*how*to actually implement this. I have a lingering voice in my mind telling me it can be done with a NOT gate, but I am unable to put the pieces together. Am I on the right track with the truth table and idea?

Thanks!