Determine the compression error for a resolution of 0.01 V and analog sample voltages +10.234 V.Express your answer in volts (V).
Question
Determine the compression error for a resolution of 0.01 V and analog sample voltages +10.234 V.
Express your answer in volts (V).
Solution
To determine the compression error for a resolution of 0.01 V and an analog sample voltage of +10.234 V, follow these steps:
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Identify the resolution: The resolution given is 0.01 V.
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Identify the analog sample voltage: The analog sample voltage is +10.234 V.
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Quantize the analog sample voltage: To find the quantized value, round the analog sample voltage to the nearest multiple of the resolution. In this case, the nearest multiple of 0.01 V to +10.234 V is +10.23 V.
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Calculate the compression error: The compression error is the difference between the original analog sample voltage and the quantized value.
Compression error = Original analog sample voltage - Quantized value Compression error = +10.234 V - +10.23 V Compression error = +0.004 V
Therefore, the compression error is +0.004 V.
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