Write a program that takes in a positive integer as input, and outputs a string of 1's and 0's representing the integer in binary. For an integer x, the algorithm is: As long as x is greater than 0 Output x % 2 (remainder is either 0 or 1) x = x / 2 Note: The above algorithm outputs the 0's and 1's in reverse order. Ex: If the input is 6, the output is: 011 (6 in binary is 110; the algorithm outputs the bits in reverse).
Write a program that takes in a positive integer as input, and outputs a string of 1's and 0's representing the integer in binary. For an integer x, the algorithm is: As long as x is greater than 0 Output x % 2 (remainder is either 0 or 1) x = x / 2 Note: The above algorithm outputs the 0's and 1's in reverse order. Ex: If the input is 6, the output is: 011 (6 in binary is 110; the algorithm outputs the bits in reverse).
Computer Networking: A Top-Down Approach (7th Edition)
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Question
Write a program that takes in a positive integer as input, and outputs a string of 1's and 0's representing the integer in binary. For an integer x, the
As long as x is greater than 0 Output x % 2 (remainder is either 0 or 1) x = x / 2
Note: The above algorithm outputs the 0's and 1's in reverse order.
Ex: If the input is 6, the output is:
011
(6 in binary is 110; the algorithm outputs the bits in reverse).
![```plaintext
1 integer array(20) a
2 integer x
3 integer y
4
5 x = Get next input
6 y = 0
7
8 while x > 0
9
10 Put x % 2 to output
11 x = x / 2
12 y = y + 1
13
14
15
16 // Your solution goes here
```
### Explanation
This code snippet appears to be the beginning of a program that processes input integers. Here is a breakdown of each part:
1. **Declarations:**
- `integer array(20) a`: Declares an array `a` with space for 20 integers.
- `integer x`: Declares an integer variable `x`.
- `integer y`: Declares an integer variable `y`.
2. **Initialization:**
- `x = Get next input`: Assigns the next input value to `x`.
- `y = 0`: Initializes `y` to 0.
3. **While Loop (`while x > 0`)**:
- This loop continues as long as `x` is greater than 0.
- Within the loop:
- `Put x % 2 to output`: Outputs the remainder of `x` divided by 2 (i.e., outputs the least significant bit of `x`).
- `x = x / 2`: Updates `x` by performing integer division by 2, effectively right-shifting its binary representation.
- `y = y + 1`: Increments `y` by 1.
4. **Comment Placeholder:**
- `// Your solution goes here`: A placeholder comment indicating where additional solution logic should be implemented.
### Analysis
This appears to be a snippet often used to convert an integer into its binary representation, outputting each bit. The loop divides the number by 2 each time, outputting the least significant bit until the number is reduced to 0.
No graphs or diagrams are included in this image; it is purely a text representation of an algorithm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54c16f47-04e0-4f84-9597-3b96ece4d4cc%2Ff58d8c09-789f-44f3-9af5-dadd204fb918%2Fr64d977_processed.png&w=3840&q=75)
Transcribed Image Text:```plaintext
1 integer array(20) a
2 integer x
3 integer y
4
5 x = Get next input
6 y = 0
7
8 while x > 0
9
10 Put x % 2 to output
11 x = x / 2
12 y = y + 1
13
14
15
16 // Your solution goes here
```
### Explanation
This code snippet appears to be the beginning of a program that processes input integers. Here is a breakdown of each part:
1. **Declarations:**
- `integer array(20) a`: Declares an array `a` with space for 20 integers.
- `integer x`: Declares an integer variable `x`.
- `integer y`: Declares an integer variable `y`.
2. **Initialization:**
- `x = Get next input`: Assigns the next input value to `x`.
- `y = 0`: Initializes `y` to 0.
3. **While Loop (`while x > 0`)**:
- This loop continues as long as `x` is greater than 0.
- Within the loop:
- `Put x % 2 to output`: Outputs the remainder of `x` divided by 2 (i.e., outputs the least significant bit of `x`).
- `x = x / 2`: Updates `x` by performing integer division by 2, effectively right-shifting its binary representation.
- `y = y + 1`: Increments `y` by 1.
4. **Comment Placeholder:**
- `// Your solution goes here`: A placeholder comment indicating where additional solution logic should be implemented.
### Analysis
This appears to be a snippet often used to convert an integer into its binary representation, outputting each bit. The loop divides the number by 2 each time, outputting the least significant bit until the number is reduced to 0.
No graphs or diagrams are included in this image; it is purely a text representation of an algorithm.
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