Given a 7 segment display, Develop the reduced circuit functions to drive segments a & d.

a. Show the short form SOP for outputs Fa and Fd.
b. Show the K-Maps for both Fa and Fd.
c. List the Prime Implicants for both. Identify the Distinguished 1's for both.
d. List the Essential Prime Implicants for both.
e. Write a reduced SOP for both.