4. (30 points) A signal conditioning system converts a temperature (T) between 2

Question

4. (30 points) A signal conditioning system converts a temperature (T) between 20°C and 80°C into a 2V- 8V signal (VT). This signal in turn is fed to an 8 bit ADC with a 5V reference (VADc) (1) What is the relationship between temperature T and its voltage output VT? (2) What is the relationship between the VT and VADC? (3) What is the voltage resolution of VADC? (4) What is the corresponding resolution of the measured temperature T? (5) What temperature does a binary output of 10100101 represent? (6) What binary output results from 45°C? 20-80°c Sensor ASC ADCComputer VADC

Explanation / Answer

1. Vt / T = (8-2)/(80-20) = 0.1

2. Vadc = (Vt - 2) (5 - 0) / (8 - 2) = (Vt - 2)* (5/6)

3. Voltage resolution of Vadc = Vref/ 2n = 5/28 = 5/256

6. T = 45

Vt = 45*T = 4.5

Vadc = (4.5 - 2)*5/6 =2.5*5/6 = 2.0833

Decimal = Vadc/resolution = (2.0833/5)*256 = 107

Equivalent binary is 01101011

4 and 5 are similar.

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