Converting decimal into binary: write an iterative function that takes one positive integer n and return a binary number of n. 2) 20 2) 10 2) 2 LO 5 0 0 2 1 1 0 20 = 10100 (2) Enter one positive integer 10 Decimal 10 Binary 1010 More (y/n) ? y Enter one positive integer: 33 Decimal 33 Binary 100001 More (y/n) ? y Enter one positive integer 150 Decimal 150 -> Binary 10010110 More (y/n) ? y Enter one positive integer 55 Decimal 55 Binary 110111 More (y/n) ? n CS003 LAB17
Converting decimal into binary: write an iterative function that takes one positive integer n and return a binary number of n. 2) 20 2) 10 2) 2 LO 5 0 0 2 1 1 0 20 = 10100 (2) Enter one positive integer 10 Decimal 10 Binary 1010 More (y/n) ? y Enter one positive integer: 33 Decimal 33 Binary 100001 More (y/n) ? y Enter one positive integer 150 Decimal 150 -> Binary 10010110 More (y/n) ? y Enter one positive integer 55 Decimal 55 Binary 110111 More (y/n) ? n CS003 LAB17
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
Problem 1PE
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![**Converting Decimal into Binary: An Iterative Function Approach**
This tutorial covers how to transform a decimal number into its binary equivalent using an iterative function.
### Steps to Convert Decimal 20 to Binary:
1. **Divide the Number:**
- Divide the decimal number by 2.
- Record the quotient and remainder.
- Repeat the process with the quotient until it equals zero.
2. **Illustration:**
- 20 divided by 2 gives a quotient of 10 and a remainder of 0.
- 10 divided by 2 gives a quotient of 5 and a remainder of 0.
- 5 divided by 2 gives a quotient of 2 and a remainder of 1.
- 2 divided by 2 gives a quotient of 1 and a remainder of 0.
- 1 divided by 2 gives a quotient of 0 and a remainder of 1.
3. **Binary Conversion:**
- Collect the remainders starting from the last to the first.
- Result: 10100
- Hence, 20 in decimal is equal to 10100 in binary.
### Other Examples:
- **Decimal 10** converts to **Binary 1010**
- **Decimal 33** converts to **Binary 100001**
- **Decimal 150** converts to **Binary 10010110**
- **Decimal 55** converts to **Binary 110111**
This method ensures an efficient approach to converting integers into their binary form, enhancing comprehension of binary systems in computing.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcdbdf4c8-5459-45de-99f8-cd8d71031beb%2F673553bd-4939-4050-8d11-ca81430ec101%2Ft50p1h_processed.png&w=3840&q=75)
Transcribed Image Text:**Converting Decimal into Binary: An Iterative Function Approach**
This tutorial covers how to transform a decimal number into its binary equivalent using an iterative function.
### Steps to Convert Decimal 20 to Binary:
1. **Divide the Number:**
- Divide the decimal number by 2.
- Record the quotient and remainder.
- Repeat the process with the quotient until it equals zero.
2. **Illustration:**
- 20 divided by 2 gives a quotient of 10 and a remainder of 0.
- 10 divided by 2 gives a quotient of 5 and a remainder of 0.
- 5 divided by 2 gives a quotient of 2 and a remainder of 1.
- 2 divided by 2 gives a quotient of 1 and a remainder of 0.
- 1 divided by 2 gives a quotient of 0 and a remainder of 1.
3. **Binary Conversion:**
- Collect the remainders starting from the last to the first.
- Result: 10100
- Hence, 20 in decimal is equal to 10100 in binary.
### Other Examples:
- **Decimal 10** converts to **Binary 1010**
- **Decimal 33** converts to **Binary 100001**
- **Decimal 150** converts to **Binary 10010110**
- **Decimal 55** converts to **Binary 110111**
This method ensures an efficient approach to converting integers into their binary form, enhancing comprehension of binary systems in computing.
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![- Converting decimal into binary: write a **recursive function** of problem 1.](https://content.bartleby.com/qna-images/question/cdbdf4c8-5459-45de-99f8-cd8d71031beb/0e09239d-5f74-4efa-9e5a-b8bdb853a8c4/mhrkni9_thumbnail.png)
Transcribed Image Text:- Converting decimal into binary: write a **recursive function** of problem 1.
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