Write a program that asks the user for an integer and returns an approximate integral value for its logarithm in base 2, using the fact that the logarithm is the number of times you need to divide an integer by 2 until you reach 1. Note that we are using Euclidean division and not real division. For example, if the input is 8 the output is 3 because 8/ 2 = 4, 4 /2 = 2, 2/2 = 1: that's 3 divisions. If the input is 31 the output is 4 because 31 /2 = 15, 15 /2 = 7,7/2 = 3,3/2 = 1: that's 4 divisions. (It is indeed very approximate!) Note that 0 or negative numbers have an integral logarithm of "-infinity", which is the output in these cases. Sample output1: Enter a number: 31 4 Sample output2: Enter a number: 0 -infinity Sample output3: Enter a number: -4 -infinity
Write a program that asks the user for an integer and returns an approximate integral value for its logarithm in base 2, using the fact that the logarithm is the number of times you need to divide an integer by 2 until you reach 1. Note that we are using Euclidean division and not real division. For example, if the input is 8 the output is 3 because 8/ 2 = 4, 4 /2 = 2, 2/2 = 1: that's 3 divisions. If the input is 31 the output is 4 because 31 /2 = 15, 15 /2 = 7,7/2 = 3,3/2 = 1: that's 4 divisions. (It is indeed very approximate!) Note that 0 or negative numbers have an integral logarithm of "-infinity", which is the output in these cases. Sample output1: Enter a number: 31 4 Sample output2: Enter a number: 0 -infinity Sample output3: Enter a number: -4 -infinity
Computer Networking: A Top-Down Approach (7th Edition)
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Chapter1: Computer Networks And The Internet
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Write in C++ please.
![**Title:** Calculating Approximate Logarithms in Base 2 for Integers
**Description:** Learn how to write a program that computes an approximate integral value for the logarithm in base 2 of a given integer. This is done by repeatedly dividing the integer by 2 until reaching 1. This method utilizes Euclidean division rather than real division.
**Explanation:**
- For example, if the input is 8, the output is 3 because:
- 8 / 2 = 4
- 4 / 2 = 2
- 2 / 2 = 1
- **This involves 3 divisions.**
- If the input is 31, the output is 4 because:
- 31 / 2 = 15
- 15 / 2 = 7
- 7 / 2 = 3
- 3 / 2 = 1
- **This involves 4 divisions.**
**Note:** This method provides a very approximate value. For inputs of 0 or negative numbers, the integral logarithm is "-infinity", as seen in the sample outputs.
**Sample Output:**
1. **Sample output 1:**
```
Enter a number: 31
4
```
2. **Sample output 2:**
```
Enter a number: 0
-infinity
```
3. **Sample output 3:**
```
Enter a number: -4
-infinity
```](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac0f3c56-5561-4b47-8ddf-f02546f51c3e%2Ff80192a9-a0eb-4f39-a38e-5b1d10ce5f7c%2F4vfxv5o_processed.png&w=3840&q=75)
Transcribed Image Text:**Title:** Calculating Approximate Logarithms in Base 2 for Integers
**Description:** Learn how to write a program that computes an approximate integral value for the logarithm in base 2 of a given integer. This is done by repeatedly dividing the integer by 2 until reaching 1. This method utilizes Euclidean division rather than real division.
**Explanation:**
- For example, if the input is 8, the output is 3 because:
- 8 / 2 = 4
- 4 / 2 = 2
- 2 / 2 = 1
- **This involves 3 divisions.**
- If the input is 31, the output is 4 because:
- 31 / 2 = 15
- 15 / 2 = 7
- 7 / 2 = 3
- 3 / 2 = 1
- **This involves 4 divisions.**
**Note:** This method provides a very approximate value. For inputs of 0 or negative numbers, the integral logarithm is "-infinity", as seen in the sample outputs.
**Sample Output:**
1. **Sample output 1:**
```
Enter a number: 31
4
```
2. **Sample output 2:**
```
Enter a number: 0
-infinity
```
3. **Sample output 3:**
```
Enter a number: -4
-infinity
```
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