Please show all steps!!!! ALL simplification steps!!!!

Show (using appropriate circuit diagrams) how each of the following can be implemented:

a) 8-to-1 MUX with three control inputs using minimal number of 2-to-1 MUX

b) 2-to-1 MUX using a single 4-to-1 MUX

Note: In (b) we are implementing a lower order MUX using a higher order MUX

12.6 points) Show (using appropriate circuit diagrams) how each of the following can be imple- mented: (a) (3 points) 8-to-1 MUX with three control inputs using minimal number of 2-to-1 MUX. (b) (3 points) 2-to-1 MUX using a single 4-to-1 MUX. Note: In (b) we are implementing a lower order MUX using a higher order MUX