• What is the range of Vin if Vref is Internal in an ATmega328? Compute the step size

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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### ADC Exercise 2

#### Questions:

1. **What is the range of \( V_{in} \) if \( V_{ref} \) is internal in an ATmega328?**
2. **Compute the step size**

#### Instructions:
- Review the reference manual or datasheet of the ATmega328 microcontroller to determine the internal reference voltage (\( V_{ref} \)).
- Calculate the input voltage range \( V_{in} \) for the given internal \( V_{ref} \).
- Use the formula for step size computation: 
  \[
  \text{Step Size} = \frac{V_{ref}}{2^n}
  \]
  where \( n \) is the number of bits in the ADC.

#### Explanation:
1. **Determining the Range \( V_{in} \):**
   - The ATmega328 typically has an internal reference voltage (\( V_{ref} \)) which you can find in its datasheet.
   - This reference voltage defines the upper limit of the input voltage range. For example, if \( V_{ref} \) is 5V, then \( V_{in} \) can range from 0V to 5V.

2. **Computing the Step Size:**
   - Using the formula above and considering the ADC resolution of the ATmega328 (usually 10 bits), you can calculate the step size.
   - For example, if \( V_{ref} \) is 5V and the resolution is 10 bits:
     \[
     \text{Step Size} = \frac{5V}{2^{10}} = \frac{5V}{1024} \approx 4.88 mV
     \]

Explore the datasheet and apply the appropriate calculations to derive the solutions for this exercise.
Transcribed Image Text:### ADC Exercise 2 #### Questions: 1. **What is the range of \( V_{in} \) if \( V_{ref} \) is internal in an ATmega328?** 2. **Compute the step size** #### Instructions: - Review the reference manual or datasheet of the ATmega328 microcontroller to determine the internal reference voltage (\( V_{ref} \)). - Calculate the input voltage range \( V_{in} \) for the given internal \( V_{ref} \). - Use the formula for step size computation: \[ \text{Step Size} = \frac{V_{ref}}{2^n} \] where \( n \) is the number of bits in the ADC. #### Explanation: 1. **Determining the Range \( V_{in} \):** - The ATmega328 typically has an internal reference voltage (\( V_{ref} \)) which you can find in its datasheet. - This reference voltage defines the upper limit of the input voltage range. For example, if \( V_{ref} \) is 5V, then \( V_{in} \) can range from 0V to 5V. 2. **Computing the Step Size:** - Using the formula above and considering the ADC resolution of the ATmega328 (usually 10 bits), you can calculate the step size. - For example, if \( V_{ref} \) is 5V and the resolution is 10 bits: \[ \text{Step Size} = \frac{5V}{2^{10}} = \frac{5V}{1024} \approx 4.88 mV \] Explore the datasheet and apply the appropriate calculations to derive the solutions for this exercise.
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