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Implement the following using 8:1 mux: $F(A,B,C,D) = {\pi}M(1,3,5,9,11,12,13)$

Mumbai University > COMPS > Sem 3 > Digital Logic Design and Analysis

Marks: 10 M

Year: June 2014

1 Answer
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1) Truth table:

enter image description here

We have to use 8:1 MUX so we need to modify the above truth table as we have only 3 select lines for 8:1 MUX. Therefore to these three select lines the inputs A, B and C will be connected resp.

Now for the remaining 4th variable we need to observe the relationship between F and D for each group of 2 rows. There are 4 possible values for F as 0, 1, D and $\underline{D}$. It is converted as below:

enter image description here

2) Design:

enter image description here

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