1. 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?

  1. F(x,y,z) = z
  2. F(x,y,z) = y
  3. F(x,y,z) = z'
  4. F(x,y,z) = x
  5. F(x,y,z) = x + y'







4 is WRONG. Draw a K-map for F(x,y,z), entering 1's in minterm positions indicated by the MUX inputs like this: 

                   ____x____ 

          _____________________ 

          |   0|   2|   6|   4| 

          |    |    |    |    | 

          |____|____|____|____| 

         ||   1|   3|   7|   5| 

        z|| 1  | 1  | 1  | 1  |

         ||____|____|____|____| 

                _________ 

                    y

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