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If the resolution of a digital-to-analog converter is approximately 0.4% of its full-scale range, then it is a/an _______.
- a)16-bit converter
- b)10-bit converter
- c)8-bit converter
- d)12-bit converter
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If the resolution of a digital-to-analog converter is approximately 0....
Resolution of a Digital-to-Analog Converter:
The resolution of a digital-to-analog converter (DAC) refers to the smallest change in analog output that can be detected. It is typically expressed as a percentage of the full-scale range of the DAC.
Given Information:
In this case, the resolution of the DAC is approximately 0.4% of its full-scale range.
Determining the Number of Bits:
To determine the number of bits of the DAC, we can use the formula:
Number of bits = log2 (1 / Resolution)
Number of bits = log2 (1 / 0.004)
Number of bits ≈ log2 (250)
Number of bits ≈ 8.96
Rounding off:
Since the number of bits must be a whole number, we round off 8.96 to the nearest whole number, which is 8.
Conclusion:
Therefore, based on the given resolution of 0.4%, the DAC is an 8-bit converter.
The resolution of a digital-to-analog converter (DAC) refers to the smallest change in analog output that can be detected. It is typically expressed as a percentage of the full-scale range of the DAC.
Given Information:
In this case, the resolution of the DAC is approximately 0.4% of its full-scale range.
Determining the Number of Bits:
To determine the number of bits of the DAC, we can use the formula:
Number of bits = log2 (1 / Resolution)
Number of bits = log2 (1 / 0.004)
Number of bits ≈ log2 (250)
Number of bits ≈ 8.96
Rounding off:
Since the number of bits must be a whole number, we round off 8.96 to the nearest whole number, which is 8.
Conclusion:
Therefore, based on the given resolution of 0.4%, the DAC is an 8-bit converter.
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Community Answer
If the resolution of a digital-to-analog converter is approximately 0....
It is defined as the smallest change in the analog output voltage corresponding to a change of one bit in the digital output.
The percentage resolution (%R) of an n-bit DAC is:
Calculation:
As we know the formula resolution,
250 = 2N -1
2N = 251 ≈ 255
i.e., 28 = 255
N = 8
Hence the minimum value of N satisfying the condition.
The percentage resolution (%R) of an n-bit DAC is:
Calculation:
As we know the formula resolution,
250 = 2N -1
2N = 251 ≈ 255
i.e., 28 = 255
N = 8
Hence the minimum value of N satisfying the condition.
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