Reduce the Boolean Expression using Karnaugh Map. (S.O.P.) - 2

KARNAUGH MAP (S.O.P.)

1. Reduce the following Boolean Expression using K-Map :F(P, Q, R, S) = Ʃ (0, 1, 2, 4, 5, 6, 8, 12)
   
2. Reduce the following Boolean Expression using K-Map :F (A, B, C, D) = Ʃ (0, 1, 2, 4, 5, 6, 8, 10)
   
3. Reduce the following Boolean Expression using K-Map :
   F(A, B, C, D) Ʃ (2, 3, 4, 5, 6, 7, 8, 10, 11)
   
4. Reduce the following Boolean Expression using K-Map :
   F(P, Q, R, S) = Ʃ (1, 2, 3, 4, 5, 6, 7, 8, 10)
   
5. Reduce the following Boolean Expression using K-Map :
   F (P, Q, R, S) = Ʃ (0, 1, 2, 3, 5, 7, 8, 9, 10, 14, 15)
   
6. Reduce the following Boolean Expression using K-Map :
   F (U, V, W, Z) = Ʃ (1, 4, 5, 9, 11, 12, 13, 15)
   
7. Reduce the following Boolean Expression using K-Map :
   F (A, B, C, D) = Ʃ (0, 1, 2, 3, 6, 7, 8, 9, 12, 13, 15)
   
8. Reduce the following Boolean Expression using K-Map :
   F (A, B, C, D) = Ʃ (1, 3, 4, 5, 6, 7, 12, 13)
   
9. Reduce the following Boolean Expression using K-Map :
   F (W, X, Y, Z) = Ʃ (0, 1, 6, 8, 9, 10, 11, 12, 15)
   
10. Reduce the following Boolean Expression using K-Map :
    F (X, Y, Z, W) = Ʃ (0, 1, 4, 5, 6, 7, 8, 9, 11, 15)
    
11. Reduce the following Boolean Expression using K-Map :
    F (A, B, C, D) = Ʃ (1, 2, 3, 4, 5, 8, 9, 10, 11, 15)
    
12. Reduce the following Boolean Expression using K-Map :
    F (X, Y, Z, W) = Ʃ (2, 6, 7, 8, 9, 10, 11, 13, 14, 15)
    
13. Reduce the following Boolean Expression using K-Map :
    F (U, V, W, Z) = Ʃ (0, 2, 5, 7, 8, 10, 13, 15)
    
14. Reduce the following Boolean Expression using K-Map :
    F (X, Y, Z, W) = Ʃ (0, 1, 2, 3, 4, 5, 10, 11, 14)
    
15. Reduce the following Boolean Expression using K-Map :
    F (U, V, Z, W) = Ʃ (2, 3, 6, 8, 9, 10, 11, 12, 13)