The display 7-segments is one of the oldest way to show messages, numbers or alphabetical characters. In order to display the numbers 0 to 9 on the 7 -segments, a special encoding is necessary. The relationships between the LEDs of the display and the decimal njmbers explained in BCD format have to be revealed. Considering bits b0, b1, b2 and b3 as inputs to the encoder and LEDs (A,,G) are its outputs, answer the following questions: 1. Write the Truth Table of the encoder. 2. Conclude the logic functions A,B,,G. 3- Use the K-map to simplify the previous functions. 4- Implement the schematic in Electronic Work Bench 3. Project Implementation In practice, the output of the gray decoder has to be displayed in order to monitor the angular position and probably to do more complex computations related to the measured angle. The figure below shows the realization of such a monitor in a simple case with only one digit. Explain the realization of the system and the extend of the system to more general case with higher resolution and higher number of 7 -segments