For F(W,X,Y,Z)=∑m(0,1,4,7,8,12,15), First compress Z out and then compress Y out, sof（w，x）

To compress out Z in the function F(W,X,Y,Z), we can use the following K-map:

X\W  00   01   11   10
Y +---+----+----+----+
0 | 0 | 1  | 1  | 0  |
  +---+----+----+----+
1 | 1 | 0  | 0  | 1  |
  +---+----+----+----+

From the K-map, we can see that the minterms containing Z are 0, 1, 8, and 9. These minterms are covered by the following two product terms:

Z'Y' + ZY

To compress out Y, we can use the following K-map:

X\W  00   01   11   10
Z +---+----+----+----+
0 | 0 | 1  | 1  | 0  |
  +---+----+----+----+
1 | 1 | 0  | 0  | 1  |
  +---+----+----+----+

From the K-map, we can see that the minterms containing Y are 1, 5, 9, and 13. These minterms are covered by the following two product terms:

Y'Z' + YZ

Therefore, we can express the function F(W,X,Y,Z) as:

F(W,X) = Z'Y' + ZY = Y'Z' + YZ

This is the simplified form of the function F(W,X,Y,Z) after compressing out Z and Y.