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GATE 2020 EC – Question 30

Digital Circuits · Data Converters · 1 mark · Numerical answer

A 10-bit D/A converter is calibrated over the full range from 0 to 10 V. If the input to the D/A converter is 13A (in hex), the output (rounded off to three decimal places) is ________ V.

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Correct answer: 3.05 to 3.08

Explanation

$13\text{A}_{16}=1\times256+3\times16+10=314$. The full-scale code is $2^{10}-1=1023$, so the output is $\frac{314}{1023}\times10=3.069$ V.