GO Classes Test Series 2023 | Digital Logic | Test 2 | Question: 7

Answer 1

$A, B, C$ are Select Lines of the given 8 $\times$ 1 MUX , where $S2$ is MSB and $S0$ is LSB

Now,

$F = A’B’C’D + A’B’CD + A’BC’D’ + A’BC(1) + AB’C’(1) + AB’CD + ABC’(0) + ABC(0)$

     $= A’B’C’D + A’B’CD + A’BC’D’ + A’BC + AB’C’ + AB’CD$

     $= \ 0001 , \ 0011 ,  \ 0100 ,\  (0110 ,\  0111) , \  (1000 , 1001) ,\  1011$

     $=$ { $1, 3, 4, 6, 7, 8, 9, 11$ }

 

Correct Ans $:$ Option D

Answer 2

$\text{F(A, B, C, D)}$ is $1$ for minterms $1,9 ,$ also $F$ is $0$ for minterms $0,12.$

So D is correct.