## Algorithm

Convert Octal to Decimal:

Input:
Accept the octal number as input.

Initialization:
Initialize a variable decimal to store the decimal equivalent.
Initialize a variable base to 1, representing the base of octal number system.

Conversion:
Starting from the rightmost digit of the octal number:
Multiply each digit by the corresponding power of 8 (base^position).
Add the result to the decimal variable.
Update the base for the next position.

Output:
Print the decimal equivalent.

Convert Decimal to Octal:

Input:
Accept the decimal number as input.

Initialization:
Initialize an array octalDigits to store the octal digits.
Initialize a variable decimal to the input decimal number.

Conversion:
Until decimal is greater than 0:
Divide decimal by 8.
Store the remainder (which is an octal digit) in the octalDigits array.
Update decimal to the quotient.

Output:
Print the octal digits in reverse order (from the last computed digit to the first).

## Code Examples

### #1 Code Example- Convert Octal Number to Decimal

```Code - C++ Programming```

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

int octalToDecimal(int octalNumber);

int main()
{
int octalNumber;
cout << "Enter an octal number: ";
cin >> octalNumber;
cout << octalNumber << " in octal = " << octalToDecimal(octalNumber) << " in decimal";

return 0;
}

// Function to convert octal number to decimal
int octalToDecimal(int octalNumber)
{
int decimalNumber = 0, i = 0, rem;
while (octalNumber != 0)
{
rem = octalNumber % 10;
octalNumber /= 10;
decimalNumber += rem * pow(8, i);
++i;
}
return decimalNumber;
}``````
Copy The Code &

Output

cmd
Enter an octal number: 2341
2341 in octal = 1249 in decimal

### #2 Code Example- Convert Decimal Number to Octal

```Code - C++ Programming```

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

int decimalToOctal(int decimalNumber);

int main()
{
int decimalNumber;
cout << "Enter a decimal number: ";
cin >> decimalNumber;
cout << decimalNumber << " in decimal = " << decimalToOctal(decimalNumber) << " in octal";

return 0;
}

// Function to convert decimal number to octal
int decimalToOctal(int decimalNumber)
{
int rem, i = 1, octalNumber = 0;
while (decimalNumber != 0)
{
rem = decimalNumber % 8;
decimalNumber /= 8;
octalNumber += rem * i;
i *= 10;
}
return octalNumber;
}``````
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Output

cmd
Enter an decimal number: 78
78 in decimal = 116 in octal

## Demonstration

C++ Programing Example to Convert Octal Number to Decimal and vice-versa-DevsEnv