**Hexadecimal numbers** are numbers with base `16`. The numbers that lie in this category range from `0-15`. `0-9` are represented by their digits, and `10-15` are represented by characters #key# A-F: A representing `10`, and F representing `15` #key#. A maximum of `4 bits` are required to represent a hexadecimal number.   

**Octal numbers** are numbers with base `8`. The numbers that lie in this category range from `0-7`. Their respective digits represent them. A maximum of `3 bits` are required to represent the octal numbers.

# Converting hexadecimal to octal

In order to convert a hexadecimal to an octal, you need to follow a series of steps. Look at the slides below to understand more clearly: 

 

#include <iostream>
#include <string>
#include <cmath>
using namespace std;

int main()
{
    int decimalNum=0, oct[10];
    string hexDecNum = "2AE";

    int val;
    
    int len = hexDecNum.length()-1;
    int i=0;

    while(len>=0)
    {
        val = hexDecNum[len];
        if(val>=48 && val<=57)
            val = val-48;
        else if(val>=65 && val<=70)
            val = val-55;
        else if(val>=97 && val<=102)
            val = val-87;
        
        decimalNum += (val*pow(16, i));
        len--;
        i++;
    }
    i=0;
    while(decimalNum != 0)
    {
        oct[i] = decimalNum%8;
        i++;
        decimalNum = decimalNum/8;
    }
    cout<<"Octal Value = ";
    for(i=(i-1); i>=0; i--)
        cout<<oct[i];
    cout<<endl;
    return 0;
}

decimalNum = 0
oct =[]

hexDecNum = "2AE"

    
l = len(hexDecNum) -1;
i=0;

while l>=0:

    val = ord(hexDecNum[l]);
    if val>=48 and val<=57:
        val = val-48
    elif val>=65 and val<=70:
        val = val-55
    elif val>=97 and val<=102:
        val = val-87

    decimalNum += (val*(16 ** i))
    l-=1
    i+=1

i=0;
while decimalNum != 0:
    oct.append(decimalNum % 8)
    decimalNum = decimalNum//8

octal = ""
for num in reversed(range(len(hexDecNum) + 1)) :
    octal+= str(oct[num])
print("octal value = ", octal)
 



Python

How to convert hexadecimal numbers to octal

Convert hexadecimal to octal by following steps including digit and character representations for base 16 and base 8.

How to convert hexadecimal numbers to octal

Converting hexadecimal to octal

Code