GATE EC 2021 Set 1 — Question 30
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Digital Circuits → Data Converters → DAC (Weighted, R-2R)
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Question
An 8-bit unipolar (all analog output values are positive) digital-to-analog converter (DAC) has a full-scale voltage range from 0 V to 7.68 V. If the digital input code is 10010110 (the leftmost bit is MSB), then the analog output voltage of the DAC (rounded off to one decimal place) is ________ V.
Correct answer
4.5 to 4.5
Solution
For an 8-bit DAC, the number of levels is .
The resolution (step size) is given by:
.
The digital input code is . Converting this to decimal:
.
The analog output voltage is:
.
The resolution (step size) is given by:
.
The digital input code is . Converting this to decimal:
.
The analog output voltage is:
.
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