: You are working with a temperature sensor which produces a change in output voltage as temperature is increased. Between 0 – 50°C, the output voltage changes linearly from 0.2 – 0.7 V. You will amplify this voltage and adjust the offset using a linear signal conditioning circuit (a dc coupled amplifier), and connect its output to an 8-bit ADC with input range of 0 to 5V. (a) [8 points] If you preserve the entire 0 – 50°C range, what is the resolution of this system? What should the input/output relation be for the signal conditioning circuit so that the SQNR is maximized? (b) [7 points] If you require 0.01°C resolution at the ADC, you will need to sacrifice the range. If you want the ADC’s input voltage to be 2.5 V at 40°C, and a resolution of 0.01°C, what should the input/output relation be for the signal conditioning circuit? What is the range of the temperature?