# Gate 2016 EE (Set 1) Q10

10. A temperature in the range of -40° to 55° is to be measured with a resolution of 0.1°. The minimum number of ADC bits required to get a matching dynamic range of the temperature sensor is

Solution:

Resolution formula, R=[T(maximum)-T(minimum) ]/2^n

Where n is the number of bits.

$$0.1= (55-(-45))/2^n$$

$$2^n=950=>n=9.89 \cong 10$$

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