An 8-line to 1-line multiplexer is connected as shown, where output Y = F(x,y,z) and z is the least significant input. Which of the following functions does Y generate?

F(x,y,z) = z
F(x,y,z) = y
F(x,y,z) = z'
F(x,y,z) = x
F(x,y,z) = x + y'

1 is CORRECT. Entering 1's into a K-map in those minterm cells specified by the MUX data inputs leads, after simplifying, to the result F(x,y,z) = z. Here is the K-Map:

                    ____x____ 

          _____________________ 

          |   0|   2|   6|   4| 

          |    |    |    |    | 

          |____|____|____|____| 

         ||   1|   3|   7|   5| 

        z|| 1  | 1  | 1  | 1  | <- Group this cell of four

         ||____|____|____|____|    to obtain F = z

                _________ 

                   y

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