Calculate the resolution 8-bit of adc with reference voltage 12 v.
Answers
Answer:
In analog-to-digital converter (ADC) accepts an analog input-a voltage or a current-and converts it to a digital value that can be read by a microprocessor. Figure 1shows a simple voltage-input ADC. This hypothetical part has two inputs: a reference and the signal to be measured. It has one output, an 8-bit digital word that represents the input value.
EXPLANATION
The reference voltage is the maximum value that the ADC can convert. Our example 8-bit ADC can convert values from 0V to the reference voltage. This voltage range is divided into 256 values, or steps. The size of the step is given by:
Vref/256
where Vrefis the reference voltage. The step size of the converter defines the converter's resolution. For a 5V reference, the step size is:
5V/256 = 0.0195V or 19.5mV
Our 8-bit converter represents the analog input as a digital word. The most significant bit of this word indicates whether the input voltage is greater than half the reference (2.5V, with a 5V reference). Each succeeding bit represents half the range of the previous bit.
Concept:
Analog to Digital Converters transform an analog signal into a digital signal.
The Resolution (R) can be defined as:
R = V/(2ⁿ - 1)
Where n is the number of bits and V is the voltage.
Given:
The reference voltage is 12 V.
Find:
The resolution 8-bit of ADC (Analog to Digital Converter) for the reference voltage is 12 V.
Solution:
The resolution of the Analog to Digital Converter depends on the number of bits.
Calculating the Resolution (R):
R = V/(2ⁿ - 1) = 12 / (2⁸ - 1 )
R = 12/ (256-1) = 12/255 = 0.047 V
Hence, the resolution 8-bit of analog to digital converter with a reference voltage of 12 V is 0.047 V.
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