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GATE 2025 BM – Question 51

Analog and Digital Electronics · ADC and DAC · 2 marks · Numerical answer

An 8-bit DAC maps 00000000 to 0 V and 11111111 to 5 V. Find output for 10110111, rounded to two decimal places in volts.

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Correct answer: 3.58 to 3.60

Explanation

The input code is 128+32+16+4+2+1=183. The specified endpoint code 255 maps to five volts, so output is 5×183/255≈3.58824 V. Rounded to two decimals it is 3.59 V. Use 255 rather than 256 because the full-scale endpoint is explicitly stated.

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