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You are asked to design a fancy thermometer for a house\'s thermostat. It must m

ID: 1595705 • Letter: Y

Question

You are asked to design a fancy thermometer for a house's thermostat. It must measure a 60-degree range centered around 30

degrees C with half-degree accuracy and acquire data (sample the room temperature) once per minute. What is your upper and lower limit

assuming you cover an extra 10 degrees past each limit (as a margin), what is your dynamic range, what is the likely number of bits

needed to store your data, and what is the total bandwidth needed per minute for this instrument?

Upper limit:

Lower limit:

Dynamic range:

Bits per data point:

Total bandwidth per minute:

Explanation / Answer

The temperature range is of 60 degrees centered around 30 degrees. Therefor the upper limit is: 60 degrees

The lower limit is : 30 degrees.

Since there is 10 degrees past each limit time, the dynamic range will be 10 degrees to 70 degrees.

Bits per data point is 2 and the total bandwidth per minute is 60 degrees.

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