Question 2: [30 points) In order to automate a production line of a manufacturing company, your task is to convert the corresponding process control system into a Direct Digital Control (DDC) system for minimizing the total cost. The raw material being processed per minute is 25.2 [kg]. (a) [10 points] Use the successive approximation method (no grades are provided for the use of other methods) to encode 25.2 [kg] for a 7-bit register for an ADC (Note: The range is 0-32 kg, and the trial voltage is 16V) (b) (10 points] Convert the 7-bit binary number to a continuous number. What is the quantization error percentage? (c) (10 points] How many bits you need to use in order to reach a conversion performance of 99%