Binary to Octal Conversion

“Binary to Octal Conversion” is one of the classic programming exercise problem for beginners. Here, we are given a Binary Number, entered by user and our task is to write a program to convert the binary number to its equivalent octal number.

Example:

Binary = 100011011
Octal = 433

The steps required to convert the Binary Number to Octal Number are as follows:

1. Make sure the number of digits in binary number is divisible by 3. If not, add extra 0s in front.
2. Divide the binary number into pairs of 3-digit binary number.
3. Convert each 3-digit binary number pair to its decimal form.
4. Combine all the decimal numbers and store into ‘Octal’.
5. Print the result.

C++ Program to Convert Binary to Octal is as follows:

/* C++ Program to Convert Binary Number to Octal Number*/  
#include<bits/stdc++.h>  
using namespace std;  
int main()  
{  
    /* Scan the Binary Number */  
    string Binary;  
    cout<<"Enter the Binary Number: ";  
    cin>>Binary;  
      
    /* Converting Binary to Octal*/  
      
    /* Make sure the number of digits in 'Binary'  
       Number is divisible by 3. If not, add  
       required 0s in front*/  
    while(Binary.length() % 3 != 0)  
    {  
        Binary.insert(0,"0");  
    }  
      
    /* Converting each digit of Binary number 
       into 3-digit binary number pair and convert 
       each pair to its corresponding decimal 
    */  
    string Octal = "";  
    for(int i = 0; i < Binary.length(); i=i+3)  
    {  
        string temp;  
        temp = temp + Binary[i];  
        temp = temp + Binary[i+1];  
        temp = temp + Binary[i+2];  
        if(temp == "000")  
            Octal += '0';  
        else if(temp == "001")  
            Octal += '1';  
        else if(temp == "010")   
            Octal += '2';  
        else if(temp == "011")  
            Octal += '3';  
        else if(temp == "100")  
            Octal += '4';  
        else if(temp == "101")  
            Octal += '5';  
        else if(temp == "110")  
            Octal += '6';  
        else if(temp == "111")  
            Octal += '7';  
    }  
      
    /*Printing the result */  
    cout<<"The Octal of "<<Binary<<" is "<<Octal;  
}  

OUTPUT:
Enter the Binary Number: 100011011
 The Octal of 100011011 is 433

Related Posts:

1. Program to convert binary number to decimal number.
2. Program to convert binary number to hexadecimal number.
3. Program to convert octal number to binary number.
4. Program to convert octal number to decimal number.
5. Program to convert octal number to hexadecimal number.
6. Program to convert decimal number to binary number.
7. Program to convert decimal number to octal number.
8. Program to convert decimal number to hexadecimal number.
9. Program to convert hexadecimal number to binary number.
10. Program to convert hexadecimal number to octal number.
11. Program to convert hexadecimal number to decimal number.
12. Program to check Leap Year.
13. Program to find sum of first ‘n’ natural numbers.
14. Program to Reverse a Number.
15. Program to swap two Numbers.
16. Program to print Fibonacci Series up to Nth Term.
17. Program to find and print nth Fibonacci number.
18. Program to find Power of the Number.
19. Program to find Quotient and Remainder.
20. Program to find largest amongst three numbers.