$0.392\%$
Understanding DAC Percentage Resolution
The resolution of a Digital-to-Analog Converter (DAC) indicates the smallest change it can produce in its analog output voltage. For an N-bit DAC, the resolution is often expressed as a percentage of the Full-Scale Range (FSR).
Calculating Percentage Resolution for an Eight-Bit DAC
An eight-bit DAC has 8 bits of digital input resolution. This means it can represent $2^8 = 256$ distinct digital values.
The resolution is typically defined as 1 Least Significant Bit (LSB). The percentage resolution is calculated relative to the total number of possible steps or the FSR.
Formula:
The formula used is:
Percentage Resolution = $\frac{1}{2^N - 1} \times 100\%$
Where 'N' is the number of bits.
Calculation Steps:
- Identify the number of bits (N): In this case, N = 8.
- Calculate the total number of steps minus one: $2^N - 1 = 2^8 - 1 = 256 - 1 = 255$.
- Calculate the resolution fraction: $\frac{1}{255}$.
- Convert the fraction to a percentage:
$\frac{1}{255} \times 100\% \approx 0.00392157 \times 100\% \approx 0.392\%$
Result:
The percentage resolution of an eight-bit DAC is approximately $0.392\%$.
Important Questions from Digital To Analog Converters
A D/A converter has 5V full-scale input voltage and an accuracy of ± 0.2%. The maximum error for any output voltage will be
An ideal 6-bit DAC with zero offset gives output voltage of 0.1 V for an input ‘000010’. What is the output for input ‘001010'
Identify the most significant bit from the '100010' binary data.
Two 10-bit ADCs, one of successive approximation type and other of single slope integrating type, take Ta and Tb time respectively to convert 3V analog input signal to digital output. If the input analog signal is increased to 6V, the approximate time taken by the two ADCs will respectively be
The resolution of $4\frac{1}{2}$-digit voltmeter is:
