To measure the temperature to within 0.1 degree Celsius, over a range of 100 degrees, our development board would need a ____________ converter to meet that requirement for accuracy.

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Multiple Choice

To measure the temperature to within 0.1 degree Celsius, over a range of 100 degrees, our development board would need a ____________ converter to meet that requirement for accuracy.

Understanding resolution matters: an ADC turns a continuous temperature range into a finite set of codes. To achieve 0.1°C steps over a 100°C span, you need about 1000 distinct codes (100 / 0.1 = 1000). An N-bit ADC provides 2^N different levels. The smallest N that gives at least 1000 levels is 10, since 2^10 = 1024. So a 10-bit converter can map the 0–100°C range into 1024 codes, giving roughly 0.0976°C per step, which meets the requirement. An 8-bit converter would only offer 256 levels and wouldn’t meet the precision, while 16-bit or 32-bit would be more precise than necessary and add extra cost and complexity.

Understanding resolution matters: an ADC turns a continuous temperature range into a finite set of codes. To achieve 0.1°C steps over a 100°C span, you need about 1000 distinct codes (100 / 0.1 = 1000). An N-bit ADC provides 2^N different levels. The smallest N that gives at least 1000 levels is 10, since 2^10 = 1024. So a 10-bit converter can map the 0–100°C range into 1024 codes, giving roughly 0.0976°C per step, which meets the requirement. An 8-bit converter would only offer 256 levels and wouldn’t meet the precision, while 16-bit or 32-bit would be more precise than necessary and add extra cost and complexity.

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