Question

Which of the following is realization of $Z=AB+BC+CA$?

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

We have the logic function,
$Z=AB+BC+CA$
For the function we form the K- map as shown below:

$\therefore$ $Z(A,B,C)=\sum m(3,5,6,7)$
Therefore, during implementation of the function Z-using 8 to 1 MUX, inputs $I_3{I}_5,I_6$ and $I_7$ will be at high logic (1) and rest inputs remain at logic (0)
Hence option (b) is correct