w+w'=x+x'=y+y'=z+z'=1
F(w,x,y,z)=∑mᵢ=m₁+m₂+m₃+m₄=1, where these are the minterms and the sum of them (logical OR merge) is the Sum of Products.
So F(w,x,y,z)=(w+w')(x+x')(y+y')(z+z')=
(wx+wx'+w'x+w'x')(yz+yz'+y'z+y'z')=
wxyz+wxyz'+wxy'z+wxy'z'
+wx'yz+wx'yz'+wx'y'z+wx'y'z'
+w'xyz+w'xyz'+w'xy'z+w'xy'z'
+w'x'yz+w'x'yz'+w'x'y'z+w'x'y'z'
This is represented by:
1111+1110+1101+1100+1011+1010+1001+1000
+0111+0110+0101+0100+0011+0010+0001+0000
and the mapping of the 1s is shown in the Karnaugh mapping table below, using the numerical equivalents,
0000=0, 0001=1, 0010=2, 0011=3, 0100=4, 0101=5, 0110=6, 0111=7, 1000=8, 1001=9, 1010=10, 1011=11, 1100=12, 1101=13, 1110=14, 1111=15:
|
yz ➡︎
wx ⬇︎
|
00 |
01 |
11 |
10 |
| 00 |
0 |
1 |
3 |
2 |
| 01 |
4 |
5 |
7 |
6 |
| 11 |
12 |
13 |
15 |
14 |
| 10 |
8 |
9 |
11 |
10 |
I hope this is what you were looking for.