Question

A digital system has been developed to measure temperatures in the range -10˚C to 100˚C. If the accuracy of the system is such that the maximum number of bits that it can represent is 10 bits, and the actual temperature being read is 39˚C, what is the closest possible value that the system could represent? Interprete your results.

Answer 1

If you have 10 bits available then you can interpret any number in range $[0,2^{10}-1]=[0,1023]$.

The system therefore could represent the actual temperature of 39°C.

Hope this helps.