Question

A 10-bit D/A converter gives a maximum output of 10.23 V. The resolution is
1. 10 mV
2. 20 mV
3. 15 mV
4. 25 mV

Answer 1

Correct Answer - Option 1 : 10 mV

Concept:

• Analog-to-Digital Converters (ADCs) transform an analog voltage to a binary number (a series of 1’s and 0’s).
• Then eventually to a digital number (base 10) for reading on a meter, monitor, or chart.
• The ADC resolution depends upon the number of bits used to represent the digit number. 
• As the number of bits increases the resolution of an Analog to Digital Converter improves and the quantization error decreases.

 

The resolution of DAC is a change in analog voltage corresponding to the LSB bit increment at the input.

The resolution (R) is calculated as:

\( R= \frac{{{V_{FS}}}}{{{2^N} - 1}}\)

No. of levels = 2N – 1

Vr is reference voltage 'or' Full-scale voltage

Resolution for n – bit A/D converter in percentage will be:

\(= \frac{V_{FS}}{{{2^n} - 1}} \times 100\)

Calculation:

Given: n = 10, VFS = 10.23 V

\( = \frac{10.23}{{{2^{10}} - 1}}\)

= 10 mV