A decoder together with an NAND gate connected to its output terminals, can be used in the synthesis of combinational networks. Using one 4:16 decoder (74154) and an 8-input NAND gate (7430), implement the function F(A,B,C,D)=A'B'D+A'BD+AC'D+ACD'

A       B      C      D      F      
0       0      0      0/     0      
0       0      0      1/     1      
0       0      1      0/     0      
0       0      1      1/     1      
0       1      0      0/     0      
0       1      0      1/     1      
0       1      1      0/     0      
0       1      1      1/     1      
1       0      0      0/     0      
1       0      0      1/     1      
1       0      1      0/     0      
1       0      1      1/     1      
1       1      0      0/     0      
1       1      0      1/     1      
1       1      1      0/     0      
1       1      1      1/     1      

odd-even detector!