A signal conditioning system converts a temperature (T) between 20 degree C and

Question

A signal conditioning system converts a temperature (T) between 20 degree C and 80 degree C into a 2V tildeoperator 8V signal (V_T). This signal in turn is fed to an 8 bit ADC with a 5V reference (V_ADC). (1) What is the relationship between temperature T and its voltage output V_T? (2) What is the relationship between the V_T and V_ADC? (3) What is the voltage resolution of V_ADC? (4) What is the corresponding resolution of the measured temperature T? (5) What temperature does a binary output of 10100101 represent? (6) What output results from 45 degree C?

Explanation / Answer

1) Relation between Temperature T and VT

20oC = 2V ----1

80oC = 8V ------2

From 1 & 2

60oC = 6V

1oC = 0.1 V

2) Relation between VT & VADC

2V(VT) = 0V(VADC) ----1

8V(VT) = 5V(VADC) ------2

From 1 & 2

6V(VT)  = 5V(VADC)

VT = 5/6 (VADC)

3) Resolution of ADC = Maximum Voltage/ 2n ,   

where n is number of bit (8)

Resolution of ADC = 5V/ 28 = 0.0195 V

4)Resolution of Temperature Measured = 60 / 28  = 0.2344 oC

5) Binary output 10100101 represents 165 in Decimal.

So, value of binary value in temperature = resolution * decimal value

= 0.2344 * 165 = 38.675oC

6) Binary output for 45oC

Decimal value = Temperatue/ resolution

= 45/0.2344

= 191.97

approximately 198

Binary value of 198 is 11000110

Thus binary value of 45oC is 11000110

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