10. Write a function decimalToBinary(n) that converts a positive decimal integer n to a string representing the corresponding binary number. Do the conversion by repeatedly dividing the number n by 2 using integer division, keepting track of the remainders, until the number is reduced to 0. The remainders written in reverse order form the binary number string. The following table (also shown in an earlier lab) illustrates the process.
10. Write a function decimalToBinary(n) that converts a positive decimal integer n to a string representing the corresponding binary number. Do the conversion by repeatedly dividing the number n by 2 using integer division, keepting track of the remainders, until the number is reduced to 0. The remainders written in reverse order form the binary number string. The following table (also shown in an earlier lab) illustrates the process.
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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Transcribed Image Text:**Educational Content on Decimal to Binary Conversion**
10. **Objective**: Write a function `decimalToBinary(n)` that converts a positive decimal integer `n` to a string representing the corresponding binary number. This involves repeatedly dividing the number `n` by 2 using integer division, keeping track of the remainders, until the number is reduced to 0. The remainders written in reverse order form the binary number string.
### Conversion Process
**Table Illustration**:
| N | N//2 | N%2 |
|-----|------|-----|
| **5** | 2 | 1 |
| 2 | 1 | 0 |
| 1 | 0 | 1 |
| 0 (done) | | |
**Explanation**:
- Start with `N = 5`.
- Divide 5 by 2: quotient is 2, remainder is 1.
- Divide 2 by 2: quotient is 1, remainder is 0.
- Divide 1 by 2: quotient is 0, remainder is 1.
- The binary representation is read upwards from the remainders: **101** (binary for 5).
Another example is provided with `N = 54`.
**Table for N = 54**:
| N | N//2 | N%2 |
|-----|------|-----|
| **54** | 27 | 0 |
| 27 | 13 | 1 |
| 13 | 6 | 1 |
| 6 | 3 | 0 |
| 3 | 1 | 1 |
| 1 | 0 | 1 |
| 0 (done) | | |
**Explanation**:
- Start with `N = 54`.
- Follow the division process; remainders read upwards produce: **110110** (binary for 54).
**Task**: Implement a program converting numbers from 0 to 9 to binary using the `decimalToBinary(n)` function. The output should look like this:
- 0 is the binary of 0
- 1 is the binary of 1
- 10 is the binary of 2
- 11 is the binary of 3
-
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