Using the following three functions in the system:

1. Design a system using a PROM with 3 outputs.

2. Find the overall minimum two-level circuit corresponding to the minimum sum of

   products (SOP) expressions using multiple AND and one multi-input OR gate per function. Show a K-map for each function, and draw the final two-level circuit. You will have to share terms between X, Y, and/or Z to find the minimum circuit

Problem 9:(8 pts) Using the following three functions in the system: i. Design a system using a PROM with 3 outputs. Find the overall minimum two-level circuit corresponding to the minimum sum of products (SOP) expressions using multiple AND and one multi-input OR gate per function. Show a K-map for each function, and draw the final two-level circuit. You will have to share terms between X, Y, and/or Z to find the minimum circuit. X(a, b, c)-m(1, 2, 3, 4, 6, 7) Y(a, b, c) 2m(0, 1,2, 3, 5,7) Z(a, b, c)-Em(3, 4, 6, 7)+ Ed(0, 1,2)