For the first question, please draw a PROM diagram.

Then, 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. Please do not forget to draw the final two-level circuit! Thank you so much.

Problem 9:(8 pts) Using the following three functions in the system: i. Design a system using a PROM with 3 outputs. ii. 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)-2m(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)