To measure the temperature of a solution within 0.1°C over a 100°C range, which converter resolution is required?

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Multiple Choice

To measure the temperature of a solution within 0.1°C over a 100°C range, which converter resolution is required?

To read a temperature with 0.1°C precision over a 100°C range, the ADC must distinguish about 1000 different levels. An N-bit converter provides 2^N levels, so you need 2^N to be at least 1000. The smallest N that works is 10, since 2^9 is 512 (not enough) and 2^10 is 1024 (enough). That means a 10-bit converter meets the requirement. A lower-resolution converter would be too coarse, yielding larger steps—for example, 8-bit gives about 0.39°C per step across the 100°C span. A higher-resolution converter, like 16-bit or 32-bit, would certainly meet the target but isn’t necessary to achieve 0.1°C with this range.

To read a temperature with 0.1°C precision over a 100°C range, the ADC must distinguish about 1000 different levels. An N-bit converter provides 2^N levels, so you need 2^N to be at least 1000. The smallest N that works is 10, since 2^9 is 512 (not enough) and 2^10 is 1024 (enough). That means a 10-bit converter meets the requirement. A lower-resolution converter would be too coarse, yielding larger steps—for example, 8-bit gives about 0.39°C per step across the 100°C span. A higher-resolution converter, like 16-bit or 32-bit, would certainly meet the target but isn’t necessary to achieve 0.1°C with this range.

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