$0.392\%$
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.
The resolution of $4\frac{1}{2}$-digit voltmeter is:
Given below are three types of converters :
(i) Successive approximation type
(ii) Weighted-resistor type
(iii) R-2R converters
(iv) MultiplexerWhich of these types are D to A converters ?
