Electronics > Beginners

Significant Digits and Uncertainty

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AndyC_772:
Imagine how you'd choose to write the value using scientific notation, and count the digits prior to the exponent.

If your voltage source is 1x10^1, then that's one significant figure.

If it's 1.00000x10^1, then that's six.

metrologist:
Here is what I think based on what I read here:

https://www.isobudgets.com/how-to-report-uncertainty-in-measurement/

"The good news is the rules for reporting uncertainty have become much clearer over the last 10 years; and, today, we are going to cover them all!"

It was a lot longer than 10 years ago last I even casually looked at this, so  :clap:

MU should be expressed to two significant digits in the same units, but could be to a higher resolution, and not lower. Tolerance should be to the same resolution as the stated specification. So my OP should be:

High Power: 32dBm ± 1dB; Total Uncertainty: 0.50dB
Low Power: 12.0dBm ± 1.5dB; Total Uncertainty: 0.75dB

One of their examples for the Fluke meter seems to clarify my question, where they state:

0.0000000 (nominal value to 7 sig figures)
0.0000256 (measurement result to 7 sig figures, same resolution)
0.0000500 (tolerance is -0.0000000 to +0.0000500, 7 sig figures)
1.0E-5 (or 0.000010, two sig figures, at greater resolution than the tolerance, so I guess that means a MU of 1.0E-10 could still be valid)

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