. Given the function: F(a, b, c) = (a + b)’c + a b c’ + a c a) Create the truth table for function F. b) Implement F by means of an 8-to-1 Multiplexer using block diagrams. c) Implement F by means of a 3-to-8 Decoder using block diagrams and any gates if needed.

(a) Convert the following numbers: (i) F2B16 to Octal. (ii) 1011101 Gray to BCD. (iii) -12510 to 10 bits One's complement.

Please solve and show work. Will give thumbs up for correct answer.

Implement the following Boolean function with a 4 x 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) = E(1, 3, 4, 10,11, 12, 13, 14, 15) %3D