Correct Answer - Option 1 : 1100
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.
Resolution for n – bit A/D converter will be:
\(R= \frac{V_{FS} \ \times \ (2^ib^i)}{{{2^n} - 1}}\)
Where
R = Resolution
VFS is reference voltage 'or' Full-scale voltage
n = number of bits
2ibi gives output voltage value.
Calculation:
Given:
VFS = 5.8 V
n = 4
R = 05 V
\( 5= \frac{5.8 \ \times \ 2^ib^i}{{{2^{4}} - 1}}\)
\( 2^ib^i= \frac{5 \ \times \ 15}{{5.8}}\)
2ibi = 12.93 V ≈ 12 V
In bits, the output voltage will be 1100
Hence option (1) is the correct answer.
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
