# C program to convert Hexadecimal to Octal number system

Write a C program to input Hexadecimal number from user and convert it to Octal number system. How to convert Hexadecimal number system to Octal number system in C programming. Logic to convert hexadecimal to octal number system in C programming.

Example

Input

`Input hexadecimal: 1A`

Output

```Octal number: 32
```

## Required knowledge

Must know -

### Hexadecimal number system

Hexadecimal number system is a base 16 number system. It uses 16 symbols to represent all numbers i.e. `0123456789ABCDEF`

### Octal number system

Octal number system is a base 8 number system. It uses 8 symbols to represent all numbers i.e. `01234567`

## Logic to convert hexadecimal to octal

There isn't any easy and direct conversion algorithm from hexadecimal to octal number system. Below is the step by step descriptive logic to convert hexadecimal to decimal number system.

1. Convert the given hex number to binary.
2. Group the converted binary in groups of 3 bits.
3. Write the corresponding octal value of for each grouped binary number digit.

### Binary to Octal conversion table

DecimalBinaryOctal
00000
10011
20102
30113
41004
51015
61106
71117

## Program to convert hexadecimal to octal number system

``````/**
* C program to convert Hexadecimal to Octal number system
*/

#include <stdio.h>

int main()
{
char hex[17];
long long octal, bin, place;
int i = 0, rem, val;

/* Input hexadecimal number from user */
printf("Enter any hexadecimal number: ");
gets(hex);

octal = 0ll;
bin = 0ll;
place = 0ll;

/* Hexadecimal to binary conversion */
for(i=0; hex[i]!='\0'; i++)
{
bin = bin * place;

switch(hex[i])
{
case '0':
bin += 0;
break;
case '1':
bin += 1;
break;
case '2':
bin += 10;
break;
case '3':
bin += 11;
break;
case '4':
bin += 100;
break;
case '5':
bin += 101;
break;
case '6':
bin += 110;
break;
case '7':
bin += 111;
break;
case '8':
bin += 1000;
break;
case '9':
bin += 1001;
break;
case 'a':
case 'A':
bin += 1010;
break;
case 'b':
case 'B':
bin += 1011;
break;
case 'c':
case 'C':
bin += 1100;
break;
case 'd':
case 'D':
bin += 1101;
break;
case 'e':
case 'E':
bin += 1110;
break;
case 'f':
case 'F':
bin += 1111;
break;
default:
}

place = 10000;
}

place = 1;

/* Binary to octal conversion */
while(bin > 0)
{
rem = bin % 1000;

switch(rem)
{
case 0:
val = 0;
break;
case 1:
val = 1;
break;
case 10:
val = 2;
break;
case 11:
val = 3;
break;
case 100:
val = 4;
break;
case 101:
val = 5;
break;
case 110:
val = 6;
break;
case 111:
val = 7;
break;
}

octal = (val * place) + octal;
bin /= 1000;

place *= 10;
}

printf("Hexadecimal number = %s\n", hex);
printf("Octal number = %lld", octal);

return 0;
}``````

Output

```Enter any hexadecimal number: fff
Hexadecimal number = fff
Octal number = 7777```

Happy coding ðŸ˜‰