## C Programming Examples Tutorial Index

This tutorial will guide you through writing a C program that converts an octal number (base 8) to its binary (base 2) equivalent. This is a fundamental concept in computer science, especially in digital systems where different number systems are often used.

## What is Octal to Binary Conversion?

Octal to binary conversion transforms a number expressed in the octal number system (base 8) into the binary number system (base 2). In the octal system, numbers are represented using digits ranging from 0 to 7, while the binary system uses only two digits, 0 and 1.

## Algorithm for Octal to Binary Conversion

1. Initialize Variables: Declare variables to store the octal number, the binary equivalent, and a temporary variable.
2. Input Octal Number: Prompt the user to enter an octal number. Use `scanf()` to take the input.
3. Conversion Process:
• For each digit of the octal number, convert it to a 3-digit binary number.
• Append these binary sequences to form the complete binary number.
4. Output Binary Number: Display the final binary number using `printf()`.

## Code Example

``````#include <stdio.h>

int main() {
int octal, binary = 0, decimal = 0, base = 1;
int octalDigit, tempDecimal;

// Input octal number
printf("Enter an octal number: ");
scanf("%d", &octal);

// Octal to Decimal conversion
while (octal != 0) {
octalDigit = octal % 10;
decimal += octalDigit * base;
octal /= 10;
base *= 8;
}

base = 1;

// Decimal to Binary conversion
while (decimal != 0) {
tempDecimal = decimal % 2;
binary += tempDecimal * base;
decimal /= 2;
base *= 10;
}

// Display the binary number
printf("Binary equivalent: %d\n", binary);

return 0;
}
``````

Program Output:

For example, if you input the octal number 123, the program will convert and display the binary equivalent.

``````Enter an octal number: 123
Binary equivalent: 1010011
``````

## Conclusion

This tutorial guided you on creating a C program that converts octal numbers to binary. Understanding different number systems like this is crucial for working in computing fields such as computer architecture and digital electronics.