java

DecimalToBinary()

Parameters: int decimal

The decimal number to be converted to binary.

Returns: Binary equivalent of the decimal as a string.

This Java function receives a decimal number and converts it to binary. Useful in digital computations and applications dealing with binary data.

variables
data types
loops
conditional statements
Easy dificulty

Writing a Java Function to Convert Decimal to Binary

Hello there! We're thrilled to have curious programmers like you in our community. Today, we'll dive into the process of converting decimal numbers into binary format using Java. The subsequent steps will guide you to program the function succinctly and effectively. This intriguing task is a great opportunity for you to strengthen your understanding of number system conversions in programming context. Hopefully, you'll find this exercise as exciting as we do!

Step 1: Understand the Problem

The problem requires converting a decimal number into a binary number. In Java, this can be achieved by repeatedly dividing the decimal number by 2 and storing the remainder till we get to 0.

int num = 42;  // decimal number

Step 2: Declare Binary String

We declare a string that will hold the binary value of the decimal number.

String binary = "";  // binary string

Step 3: Conversion Process

Like mentioned earlier, the conversion process involves continuously dividing num by 2 and storing the remainder until we get to zero.

while (num > 0) {
    binary = (num % 2) + binary;
    num /= 2;
}

Step 4: Printing the Binary String

Finally we print out the binary string which now holds the binary value of the decimal number.

System.out.println(binary);

Conclusion

We've now accomplished the task of converting a decimal number to binary in Java. Here is the full code:

public class Main {
    public static void main(String[] args) {
        int num = 42;  // decimal number
        String binary = "";  // binary string
        while (num > 0) {
            binary = (num % 2) + binary;
            num /= 2;
        }
        System.out.println(binary);
    }
}

This code will output 101010 which is the binary equivalent of the decimal number 42.

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Decimal to Binary Conversion

This function converts decimal numbers to their binary equivalents.

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Mathematical principle

Converting decimal to binary is a foundation of digital computations. In decimal base 10, digits ranges from 0 - 9. In binary base 2, digits are only 0 and 1. Conversion is performed by constantly dividing the decimal number by 2 and recording the remainder until we reach 0. The binary equivalent is then read from bottom to top (or right to left). For instance, converting decimal `10` to binary, we divide `10 / 2` to get quotient `5` remainder `0`, then `5 / 2` to get quotient `2` remainder `1`, `2 / 2` to get quotient `1` remainder `0`, finally `1 / 2` to get quotient `0` remainder `1`. Reading the remainders from bottom to top results to binary `1010`.

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