Note: Please show all intermediate steps leading to the answers.

(1) (0.5 point) Create a Karnaugh map for the following truth table A BC 1 0 0 (2) (1 point) Derive the minimum SOP expression for the following Karnaugh map 10 01 10 (3) (1.5 points) Design the digital logic for segment g of the seven-segment display driver truth table shown below Inputs A B C D Segments a b c d e f g 0 1 1 0 0 0 0 1 1 1 00 0 0 1 0 0 1 1 0 0 1 1 0 (4) (3 points) Design a circuit with three inputs x, y, and z representing bits in a binary number, and three outputs (a, b, and c) also representing bits in a binary number. When the binary input is 0, 1, 6, or 7, the binary output will be the complement of the input (e.g. the output of 001 is 110). When the binary input is 2, 3, 4, or 5, the output is the input in reverse order (e.g the output of 011 is 110). (4.1) Show your truth table (0.5 point) (4.2) Show all computations for simplification using the Karnaugh map approach (1.5 points). (4.3) Show the final circuit diagram (1 point)