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C++ Program For Hexadecimal To Decimal Conversion

C++ Program For Decimal To Octal Conversion

Last Updated : 03 Aug, 2023

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The octal numbers are a base 8 number system that uses digits from 0-7 and the decimal numbers are a base 10 numbers system that uses 10 digits from 0-9 to represent any numeric value.

In this article, we will learn how to write a C++ program to convert a given decimal number into an equivalent octal number. i.e. convert the number with base value 10 to base value 8.

Algorithm to Convert Decimal Numbers to Octal in C++

Create an array to store the octal representation.
Run a loop till the number is not zero.
Extract the remainder by taking the mod of the number by 8 and store the remainder in the array as an octal digit.
Update the number by dividing it by 8 in each iteration.
Print the array in reverse order.

The below diagram shows an example of converting the decimal number 33 to an equivalent octal number.

decimal to octal conversion in C++

C++ Program to Convert Decimal Number To Octal Number

C++

// C++ program to convert a decimal // number to octal number #include <iostream> using namespace std;  // Function to convert decimal // to octal void decToOctal(int n) {     // Array to store octal number     int octalNum[100];      // Counter for octal number array     int i = 0;     while (n != 0) {         // Storing remainder in octal array         octalNum[i] = n % 8;         n = n / 8;         i++;     }      // Printing octal number array in     // reverse order     for (int j = i - 1; j >= 0; j--)         cout << octalNum[j]; }  // Driver Code int main() {     int n = 33;      // Function Call     decToOctal(n);      return 0; }

Output

Explanation

If the given decimal number is 33.

Step 1: Remainder when 33 is divided by 8 is 1. Therefore, arr[0] = 1.
Step 2: Divide 33 by 8. The new number is 33/8 = 4.
Step 3: Remainder, when 4 is divided by 8, is 4. Therefore, arr[1] = 4.
Step 4: Divide 4 by 8. The new number is 4/8 = 0.
Step 5: Since the number becomes = 0.

Stop repeating steps and print the array in reverse order. Therefore, the equivalent octal number is 41.

Complexity Analysis

Time Complexity: O(log N)
Space Complexity: O(N), since creating an array to store octal numbers.

Refer to the complete article Program for Decimal to Octal Conversion for more methods to convert Decimal numbers to Octal numbers.

C++ Program For Hexadecimal To Decimal Conversion

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