In this article, we will explore the conversion of decimal to binary using JavaScript, including a step-by-step guide and code examples.

What is Binary?

Binary, also known as base-2, is a number system used in computing to represent numbers and data. Unlike decimal, binary uses only two digits, 0 and 1, which make it ideal for digital electronics and computers to process information. In binary, each digit represents a power of 2, starting from right to left. So, for example, the number 10 in binary would be represented as 1010.

What is Decimal?

Decimal, also known as base-10, is the most widely used number system in the world and is used in everyday life. In decimal, each digit represents a power of 10, starting from right to left. So, for example, the number 10 in decimal would be represented as 10.

Why Convert Decimal to Binary?

In computing and digital electronics, it is essential to convert decimals to binary to process data efficiently. Computers and digital devices process information in binary, and converting decimal to binary allows the system to store, manipulate, and process the data more effectively.

Step by Step Guide to Convert Decimal to Binary

The conversion of decimal to binary involves repeatedly dividing the decimal number by 2 until the quotient is 0. The remainders during each division are the binary equivalent of the decimal number.

Here is a step-by-step guide to converting decimal to binary:

  1. Divide the decimal number by 2.
  2. Write down the remainder.
  3. Repeat the division until the quotient is 0.
  4. Read the remainder from bottom to top to get the binary equivalent of the decimal number.

JavaScript Code to Convert Decimal to Binary

Now that we have a basic understanding of converting decimal to binary, let’s look at a code example in JavaScript to achieve the same result.

				
					function decimalToBinary(decimal) {
  let binary = '';
  while (decimal > 0) {
    binary = (decimal % 2) + binary;
    decimal = Math.floor(decimal / 2);
  }
  return binary;
}
console.log(decimalToBinary(10));

In this example, the decimalToBinary function takes in a decimal number as an argument and returns its binary equivalent. Then, the while loop divides the decimal number by 2 and stores the remainder in the binary variable until the quotient is 0. Finally, the binary equivalent is returned.

We have explored the conversion of decimal to binary using JavaScript, including a step-by-step guide and code examples. We have seen that converting decimal to binary is an essential aspect of computing and digital electronics and is achieved by repeatedly dividing the decimal number by 2 until the quotient is 0. By understanding this concept and the code example, you can efficiently convert decimal to binary in your projects.


Thanks for reading. Happy coding!