Question

A binary system uses 8-bits to represent an analog value ranging from 120 ounces to 700 ounces, Determine the number of bits that would be needed for the above resolution to improve to better than 0.01 ounces per increment. Interpret your results

Answer 1

Using n bits, the resolution is given by

= (Upper range value - Lower range value) / (2ⁿ - 1)

Thus, for resolution better than 0.01, we have here

=> n > 15.8237901536

Since n can only be an integer, so minimum number of bits required

= 16

Thus, for the required resolution, we need to double the number of bits of the ADC system currently being used.