How does one implement the following function with these tools provided?
The solution to this problem cannot be found by just trying all possible logic gate .
It might be a bit complicated to understand.

POS of F(A,B,C,D)=0,3,4,7,9,10,12,15.

convert to SOP.

SOP of F(A,B,C,D)=1,2,5,6,8,11,13,14.

when A is 1 give us total 8 possibilities out of which the 4 which we are given have the property of even number of 1's.(m8,m11,m13,m14).

when A is 0 C and D having odd number of 1's is the required condition.don't care what B is.(m1,m2,m5,m6).

the solution would be something like this: