digital logic design:

please solve problem 8,9, and 10

Problem 8. What is the SOP logic expression of F(x,y,z) implemented using the following circuit? y te IN Fx,y,z) 1 1 Problem 9. Solve one of the following two questions: 1. Build a 4-to-1 MUX using a decoder, AND gates and OR gate. 2. Implement a full adder with two 4' 1 multiplexers Problem 10. Implement the following Boolean function with a 4'1 multiplexer and external gates. Connect inputs A and B to the selection lines. The input requirements for the four data lines will be a function of variables C and D. These values are obtained by expressing F as a function of C and D for each of the four cases when AB = 00, 01, 10, and 11. These functions may have to be implemented with external gates. F(A, B, C, D) = {(1, 3, 4, 11, 12, 13, 14, 15) Page 3 of 3