write the k-map simplification of the function F(A,B,C,D)={3,4,5,7,9,10,12,13,14,15}
The given function can be represented in a 4-variable Karnaugh map as follows:
```
CD\AB | 00 | 01 | 11 | 10 |
------+----+----+----+----+
00 | 1 | 0 | 0 | 0 |
------+----+----+----+----+
01 | 0 | 0 | 1 | 0 |
------+----+----+----+----+
11 | 0 | 1 | 1 | 1 |
------+----+----+----+----+
10 | 0 | 0 | 0 | 1 |
```
The groups formed are:
1. A'C'D'
2. C'D'
3. B'C'D
4. B'CD
5. BC'D
Thus, the simplified expression would be:
F(A, B, C, D) = A'C'D' + C'D' + B'C'D + B'CD + BC'D.