Problem 2 A seven-segment display, similar to the one above, can be used to display any digit from 0 to 9. A system that you are designing has one of these displays. However, in your system the display can be either red or green. Your job is to create a logic that will tell the system which color the display should be The input for the system is 4 bits, w,x, y, z. These bits correspond to the digit that is being displayed E. w x y z Digit 0 0 0 0 Your job is to deal with the color output, C. According to the requirements, If the digit is 1,3,5,7 or 9 (Odd), the display should be in green (C-1). If the digit is 0,2,4,6 or 8 (even), the display should be in red (C0). If the output is not a number between 0 and 9, the output is a don't care instance. Use this logic to answer the following questions. 1. Extend the truth table above to include all combinations of the 4 variables and fill in the output of C according to the logic above. The answers should be either 0, 1 or X Create a K-Map to simplify this logic. Draw the simplified logic circuit for the output C 2. 3