f(u,v,w,z)=π(0,4,8,12,9) d(u,v,w,z)=E(1,5,3) π represents the product of sums(pos) a.k.a the product of maxterms E represents the sum of products(sop) a.k.a the sum of minterms f represents the regular function d represents the don't care function
uv\wx |00 |01 |11 |10 00 |0 |d |1 |1 01 |0 |d |1 |1 11 |0 |d |1 |1 10 |0 |0 |1 |1
So I know for pos you're supposed to group the 0's in the k-map. I know in the don't care function, the designer picks if they want to make it a 1 or a 0, my prof told the class if you can group a d in the k-map then do it. I know for sop you're supposed to group the 1's in the k-map.
Since the second function is a don't care function does the E(sum of products) become irrelevant in solving this problem? So I would try to group the 0's in the k-map together since the first function is a π(product of sums function)? I've never come across an example like this and couldn't find any similar examples online. Any help would be greatly appreciated.