In the world of computers, binary numbers play a crucial role in data storage, processing, and communication. A decimal number is based on the base 10 numeral system, whereas binary numbers use the base 2 system. Converting decimal numbers to binary is one of the most fundamental operations in computer science. In this program, we will learn how to convert a decimal number to its binary equivalent using C programming.

Objective

The objective of this program is to demonstrate how to convert a given decimal number into its binary representation using simple arithmetic and logic in C. The program will repeatedly divide the number by 2 and store the remainders to generate the binary equivalent.

Program Code:

#include 

void decimalToBinary(int n) {
    int binary[32]; // Array to store binary number
    int i = 0;

    // If the number is 0, we directly print 0 as binary.
    if (n == 0) {
        printf("Binary equivalent: 0\n");
        return;
    }

    // Loop to calculate binary representation
    while (n > 0) {
        binary[i] = n % 2;  // Store remainder in binary array
        n = n / 2;          // Divide the number by 2
        i++;
    }

    // Print the binary number in reverse order
    printf("Binary equivalent: ");
    for (int j = i - 1; j >= 0; j--) {
        printf("%d", binary[j]);
    }
    printf("\n");
}

int main() {
    int decimalNumber;

    // Ask the user to input a decimal number
    printf("Enter a decimal number: ");
    scanf("%d", &decimalNumber);

    // Call the function to convert the number
    decimalToBinary(decimalNumber);

    return 0;
}

Explanation of the Program:

The program begins by declaring an integer array binary[32] to hold the binary digits (32 bits for the maximum integer size in C). The function decimalToBinary(int n) is responsible for the conversion process.

• The function checks if the number is 0. If it is, the binary equivalent is directly printed as 0.
• For any other positive integer, the program repeatedly divides the decimal number by 2 and stores the remainders (0 or 1) in the binary[] array. These remainders represent the binary digits.
• Once the division process is complete, the remainders are in reverse order, so we print them in reverse to get the correct binary number.

How to Run the Program:

1. Write the code in a text editor and save it as decimal_to_binary.c.
2. Open a terminal or command prompt and navigate to the directory where the file is saved.
3. Compile the program using a C compiler (e.g., GCC). Run the following command:

   gcc decimal_to_binary.c -o decimal_to_binary

4. Execute the program by running the following command:

   ./decimal_to_binary

5. The program will prompt you to enter a decimal number, and it will print the binary equivalent.