Question

A 16-bit A/D converter has a full-scale range of +10 V. What is the resolution of this A/D in volts? If this A/D were used to measure temperature using a sensor having a sensitivity of 0.1 mV/oC, what is the resolution in oC?

Answer 1

Answer:

• the resolution in volts is 0.1526 mV

• the resolution in ⁰C is 1.526⁰C

Explanation:

Given;

the length of bit, n= 16

full-scale range = 10V

Resolution = (full-scale range)/2ⁿ

Resolution = (10V)/2¹⁶

Resolution = 10 V/65536

Resolution = 0.1526 mV

Given;

sensor having a sensitivity of 0.1 mV/⁰C

The resolution in ⁰C is calculated as follows:

$=\frac{0.1526 mV}{0.1\frac{mV}{^oC} } = (\frac{0.1526mV}{0.1mV})^oC = 1.526^oC$

Therefore, the resolution in ⁰C is 1.526⁰C