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Determine the decoded 12-bit code for a resolution of 0.01 V and analog sample voltages +10.234 V.Answer format: XXXXXXXXXXXX, where X is either 1 or 0.

Question

Determine the decoded 12-bit code for a resolution of 0.01 V and analog sample voltages +10.234 V.Answer format: XXXXXXXXXXXX, where X is either 1 or 0.

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Solution

Para determinar el código de 12 bits decodificado para una resolución de 0.01 V y un voltaje de muestra analógica de +10.234 V, sigue estos pasos:

  1. Determinar el número total de niveles posibles: Un código de 12 bits tiene 212=40962^{12} = 4096 niveles posibles.

  2. Calcular el rango total de voltaje: Si la resolución es de 0.01 V, el rango total de voltaje es: Rango total=4096×0.01 V=40.96 V \text{Rango total} = 4096 \times 0.01 \text{ V} = 40.96 \text{ V}

  3. Determinar el voltaje mínimo y máximo: Asumiendo que el rango de voltaje es de 0 a 40.96 V (esto puede variar dependiendo del sistema, pero usaremos este rango para este ejemplo).

  4. Calcular el valor digital correspondiente al voltaje de muestra: Valor digital=Voltaje de muestraResolucioˊn=10.234 V0.01 V=1023.4 \text{Valor digital} = \frac{\text{Voltaje de muestra}}{\text{Resolución}} = \frac{10.234 \text{ V}}{0.01 \text{ V}} = 1023.4

  5. Redondear al entero más cercano: Valor digital redondeado=1023 \text{Valor digital redondeado} = 1023

  6. Convertir el valor digital a binario de 12 bits: 1023 en binario=001111111111 1023 \text{ en binario} = 001111111111

Por lo tanto, el código de 12 bits decodificado para un voltaje de muestra de +10.234 V es:

001111111111

This problem has been solved

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