Question

Implement the following Boolean function with a multiplexer
[\F(A,B,C,D) = \sum(0,2,5,7,11,14)\]

Answer 1

\[F(A,B,C,D) = \sum{(0,2,5,7,11,14)}\]

Answer 2

i don't understand what you are asked to do with multiplexer

Answer 3

Yeah, I think this is notation I'm either not familiar with or have forgotten. Does this indicate how to translate inputs to outputs?

Answer 4

The right hand side of the equation means: sum of minterms.
\[\sum{(0,2,5,7,11,14)}=A'B'C'D' + A'B'CD' + A'BCD + AB'CD +ABCD'\]

Answer 5

A': A negated

Answer 6

+: Or

Answer 7

I was taught that any boolean function can be represented as a sum of minterms.