# C++ Program to Convert Octal to Decimal

This is a C++ Program to Convert a Given Octal Number to its Decimal Equivalent.

Problem Description

The program takes an octal number and converts it into its decimal equivalent.

Problem Solution

1. The program takes an octal number.
2. Using a while loop, each digit is converted to its decimal equivalent by multiplying with powers of 8.
3. The result is printed.
4. Exit.

C++ Program/Source code

Here is the source code of C++ Program to Convert a Given Octal Number to its Decimal Equivalent. The program output is shown below.

1. `#include <iostream>`
2. `#include <math.h>`
3. `using namespace std;`
4. `int main()`
5. `{`
6. `    int num, temp, rem, oct = 0, i = 0;`
7. `    cout << "Enter an octal number : ";`
8. `    cin >> num;`
9. `    temp = num;`
10. `    while(temp != 0)`
11. `    {`
12. `        rem = temp % 10;`
13. `        oct += rem * pow(8, i++);`
14. `        temp = temp / 10;`
15. `    }`
16. `    cout << "\nDecimal equivalent of " << num << " is : " << oct;`
17. `    return 0;`
18. `}`
Program Explanation

1. The user is asked to enter an octal number and it is stored in the variable ‘num’.
2. num is copied to a temporary variable ‘temp’. The variables ‘oct’ and ‘i’ are initialized as 0.
3. Using a while loop, the remainder of temp on dividing by 10 is stored in ‘rem’.
4. rem is multiplied with powers of 8 using the function pow() and is added to oct. i is incremented in the function.
5. temp is divided by 10.
6. The loop continues till temp is not equal to 0.
7. The result is then printed.

Runtime Test Cases
```Case 1 :
Enter an octal number : 135
Decimal equivalent of 135 is : 93

Case 2 :
Enter an octal number : 7
Decimal equivalent of 7 is : 7

Case 3 :
Enter an octal number : 25
Decimal equivalent of 25 is : 21```

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