The resolution of a 9 bit-D/A converter which give a maximum output of 5.12 V is :

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  1. 10 mV 
  2. 20 mV 
  3. 15 mV
  4. 25 mV

Answer (Detailed Solution Below)

Option 1 : 10 mV 
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Concept:

The resolution of a Digital-to-Analog (D/A) converter is the smallest change in analog output corresponding to a one-bit change in the digital input.

It is given by: \( \text{Resolution} = \frac{V_{max}}{2^n - 1} \)

Where,

  • \( V_{max} \) is the maximum output voltage
  • n is the number of bits

Given:

Number of bits, n =9

Maximum output voltage, \( V_{max} = 5.12 \, V \)

Calculation:

\( \text{Resolution} = \frac{5.12}{2^9 - 1} = \frac{5.12}{511} \approx 0.01 \, V = 10 \, mV \)

Correct Answer: 1) 10 mV

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