Thread: K-mapping question

Hi everyone


For the input
F(A,B,C,D)={1,4,5,7,9, 11, 13, 15}

i got the truth table & K-map as below:

Truth table(Z is the output):

ABCD Z
0000 0
0001 1
0010 0
0011 0
0100 1
0101 1
0110 0
0111 1
1000 0
1001 1
1010 0
1011 1
1100 0
1101 1
1110 0
1111 1

Z = A’B’C’D + A’BC’D’ + A’BC’D+ A’BCD+ AB’C’D+ AB’CD+ ABC’D+ ABCD

K-map

CD/AB 00 01 11 10
00 0 1 0 0
01 1 1 1 0
11 0 1 1 0
10 0 1 1 0


how do i simplify it? is it possible to eliminate the C input from the eqn?I need to

Design a 8:1 multiplexer capable of implementing the logic function below:

F(A,B,C,D)={1,4,5,7,9, 11, 13, 15}, using ABD as the select inputs

thank you for guiding & helping....really urgent...tq..

Tq & rgds