Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
C++ Program to Convert Octal Number to Binary Number
In a computer system, the binary number is expressed in the binary numeral system while the octal number is in the octal numeral system. The binary number is in base 2 while the octal number is in base 8.
Examples of binary numbers and their corresponding octal numbers are as follows −
| Binary Number | Octal Number |
|---|---|
| 01101 | 15 |
| 00101 | 5 |
| 10110 | 26 |
| 01010 | 12 |
A program that converts the octal numbers into binary is given as follows −
Example
#include <iostream>
#include <cmath>
using namespace std;
int OctalToBinary(int octalNum) {
int decimalNum = 0, binaryNum = 0, count = 0;
while(octalNum != 0) {
decimalNum += (octalNum%10) * pow(8,count);
++count;
octalNum/=10;
}
count = 1;
while (decimalNum != 0) {
binaryNum += (decimalNum % 2) * count;
decimalNum /= 2;
count *= 10;
}
return binaryNum;
}
int main() {
int octalNum = 33;
cout <<"Octal to Binary"<<endl;
cout<<"Octal number: "<<octalNum<<endl;
cout<<"Binary number: "<<OctalToBinary(octalNum)<<endl;
return 0;
}Output
The output of the above program is as follows −
Octal to Binary Octal number: 33 Binary number: 11011
In the given program, the function OctalToBinary() converts the given octal number into a binary number This is done by first converting the octal number into a decimal number and then converting the decimal number into an binary number. This is seen in the following code snippet −
int OctalToBinary(int octalNum) {
int decimalNum = 0, binaryNum = 0, count = 0;
while(octalNum != 0) {
decimalNum += (octalNum%10) * pow(8,count);
++count;
octalNum/=10;
}
count = 1;
while (decimalNum != 0) {
binaryNum += (decimalNum % 2) * count;
decimalNum /= 2;
count *= 10;
}
return binaryNum;
}In the function main(), the octal number is given. Then its corresponding binary number is calculated by calling OctalToBinary(). This is shown below −
int main() {
int octalNum = 33;
cout <<"Octal to Binary"<<endl;
cout<<"Octal number: "<<octalNum<<endl;
cout<<"Binary number: "<<OctalToBinary(octalNum)<<endl;
return 0;
}
1K+ Views
