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BMEN 3350 Homework 2

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Chemistry

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Homework 2 Problem 1 (10 points): A 12-bit ADC has an input range of 1 V to 4 V. If the output of the ADC is 300, what is the estimated voltage at its input? (ignore quantization error) Solution: V ′ = Emin + Q. r = 1 + 300. 4−1 212 −1 = 1.22V Problem 2 (15 points): A 4-bit ADC has an input range of 2 V to 5 V. At a given instant, if the output of the ADC is 5, a)b)What is the estimated input voltage? What are vl and vh , the lower and upper limits of the actual input voltage (taking quantization error into account)? Solution: a)b)5−2 V′ = Emin + Q. r = 1 + 5. 4 = 3V 2 −1 5−2 Q = = 0.2 24 −1 Q The actual input voltage must lie within ± of the estimated voltage, 3V. Therefore, 2 vl = 3 − 0.1 = 2.9 V and vh = 3 + 0.1 = 3.1 V