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Chapter 13: Problem 10

What voltage resolution is possible using a 12 -stage ladder network with a \(10-\mathrm{V}\) reference voltage?

Short Answer

Expert verified
The voltage resolution is \( V_{resolution} =V_{ref}/2^n = 10/2^{12}\) volts.

Step by step solution

01

Understand the concept

The reference voltage is divided evenly over all the stages. The voltage resolution is the smallest change in voltage that the converter can measure.
02

Apply the formula

Use the formula for the voltage resolution, which is equal to the reference voltage \( V_{ref} \) divided by the total number of stages in the digital-to-analog converter, \(2^n\), where \( n \) is the number of bits (stages).
03

Calculate the voltage resolution

The given reference voltage \( V_{ref} \) is 10 V and the number of bits \( n \) is 12. Substitute them into the formula, we get \( V_{resolution} =V_{ref}/2^n = 10/2^{12}\) volts.

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Most popular questions from this chapter

Draw the diagram of a 741 op-amp operated from \(\pm 15-\mathrm{V}\) supplies with \(V_{i}(-)=0 \mathrm{~V}\) and \(V_{i}(t)=+5 \mathrm{~V}\). Include terminal pin connections.

Sketch a five-stage ladder network using \(15-\mathrm{k} \Omega\) and \(30-\mathrm{k} \Omega\) resistors.

Use Multisim to draw a 555 oscillator with resulting output with \(t_{\text {low }}=2 \mathrm{~ms}\) and \(t_{\text {high }}=5 \mathrm{~ms}\).

For a dual-slope converter, describe what occurs during the fixed time interval and the count interval.

Draw the circuit diagram of a zero-crossing detector using a 339 comparator stage with \(\pm 12-\mathrm{V}\) supplies.
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