GATE 2021 IN – Question 27
A 10-bit ADC has full scale 10.230 V at output $(11\,1111\,1111)_2$. Its quantization error is ______ mV.
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Correct answer: 4.9 to 5.1
Explanation
The all-ones 10-bit code is 1023. Its full-scale value 10.230 V gives one code step 10.230/1023=0.010 V=10 mV. The ideal rounding quantization error has maximum magnitude half a step, **5 mV**. This is the error bound, not the full step size.