**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

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 A-FA representing 10, and F representing 15. 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: 

How to convert hexadecimal numbers to octal

Converting hexadecimal to octal

Code