How many bits are required to represent the Arduino analog input? Hint: There are 1024 possible values. Explain.
How many bits are required to represent the Arduino analog input? Hint: There are 1024 possible values. Explain.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![**Educational Content on Arduino Analog Input**
**Question:**
How many bits are required to represent the Arduino analog input?
**Hint:** There are 1024 possible values.
**Explanation:**
---
**Diagram or Explanation Box:**
To determine the number of bits required, we need to understand that each bit represents a binary state—either 0 or 1. The number of possible values that can be represented by bits follows the formula:
\[ \text{Number of Values} = 2^{\text{number of bits}} \]
Given that there are 1024 possible values for the Arduino analog input, we need to solve for the number of bits:
\[ 2^n = 1024 \]
By applying logarithms or recognizing powers of 2, we find:
\[ n = \log_2(1024) = 10 \]
Therefore, 10 bits are required to represent 1024 possible values for the Arduino analog input.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb301fb50-344f-4c1f-8331-94a7057dbd60%2Fcad6f8b9-428c-4f55-86ec-6b526b55c60b%2Fli2bvyl_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Content on Arduino Analog Input**
**Question:**
How many bits are required to represent the Arduino analog input?
**Hint:** There are 1024 possible values.
**Explanation:**
---
**Diagram or Explanation Box:**
To determine the number of bits required, we need to understand that each bit represents a binary state—either 0 or 1. The number of possible values that can be represented by bits follows the formula:
\[ \text{Number of Values} = 2^{\text{number of bits}} \]
Given that there are 1024 possible values for the Arduino analog input, we need to solve for the number of bits:
\[ 2^n = 1024 \]
By applying logarithms or recognizing powers of 2, we find:
\[ n = \log_2(1024) = 10 \]
Therefore, 10 bits are required to represent 1024 possible values for the Arduino analog input.
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