If our DAC was instead 12-bit, what would it's output resolution be in milli-Volts per bit? Round to the nearest 10th of a milli-Volt.
Group of answer choices

0.5 mV / bit

0.8 mV / bit

1.5 mV / bit

13.0 mV / bit

To calculate the resolution of a Digital-to-Analog Converter (DAC), we use the following formula:

\[
\text{Resolution} = \frac{\text{Reference Voltage}}{2^n}
\]

Where:
- The reference voltage is the maximum output voltage of the DAC.
- \(n\) is the number of bits (in this case, 12 bits).

Let's assume the reference voltage is 5V, which is a common value for DACs. Converting to millivolts (mV):

\[
\text{Reference Voltage} = 5000 \, \text{mV}
\]

Now, we calculate the output resolution:

\[
\text{Resolution} = \frac{5000 \, \text{mV}}{2^{12}} = \frac{5000}{4096} \approx 1.22 \, \text{mV/bit}
\]

Rounding to the nearest tenth of a milli-Volt, the resolution is **1.2 mV/bit**.

Since none of the options provided matches this exactly, it's possible the assumed reference voltage (5V) differs. However, this calculation provides the framework to adjust for different reference voltages.

Do you want details or have any questions about this? Here are 5 related questions to deepen understanding:

1. How does increasing the reference voltage affect the DAC resolution?
2. What impact does a higher bit DAC have on output resolution?
3. How is the reference voltage typically determined in practical DAC applications?
4. Why is DAC resolution important in analog signal processing?
5. What role do noise and errors play in the real-world performance of DACs?

**Tip:** When calculating DAC resolution, always verify the reference voltage, as it directly impacts the precision of the output.

If our DAC was instead 12-bit, what would its output resolution be in milli-Volts per bit? Round to the nearest 10th of a milli-Volt.

Learn how to calculate the output resolution of a 12-bit Digital-to-Analog Converter (DAC) in milli-Volts per bit using the formula: Resolution = Reference Voltage / 2^n. Explore key concepts like DAC resolution and binary numbers, suitable for high school students (Grades 9-12).

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