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#### How to Convert Decimal Numbers to Binary

In computer science, binary is a base-2 numeral system that uses only two symbols, 0 and 1, to represent all of its values. The binary number system is used by computers to store and process data, as it is a more efficient method of representing information compared to the decimal number system that we use in everyday life.

In this article, we will know how to convert decimal numbers to binary in javascript and provide examples for converting decimal numbers to binary using several different methods.

## How to Convert Decimal Numbers to Binary – Different Methods

1. Using the built-in toString() method in JavaScript:

JavaScript provides a built-in method called toString() which allows you to convert a decimal number to a binary number. You can use this method by passing the radix (base) of 2 as an argument. For example, the following code converts the decimal number 10 to a binary number:

let decimal = 10; let binary = decimal.toString(2); console.log(binary);

It will output “1010”

2. Using the bitwise operator >> in JavaScript:

Another way of converting decimal numbers to binary in JavaScript is by using the bitwise right shift operator (>>) along with a loop. The operator shifts the bits of a number to the right and the loop continues until the number becomes zero. Here is an example:

let decimal = 10; let binary = ""; while(decimal > 0){ binary = (decimal % 2) + binary; decimal = decimal >> 1; } console.log(binary);

It will output “1010”

3. Using the built-in format() method in Python:

In Python, you can use the built-in format() method to convert a decimal number to a binary number. The method uses the {0:b} format specifier to convert the decimal number to binary. For example, the following code converts the decimal number 10 to a binary number:

decimal = 10 binary = format(decimal, 'b') print(binary)

It will output “1010”

4. Using recursion in Python:

Another way to convert decimal numbers to binary in Python is by using recursion. The function takes the decimal number as an input and divides it by 2 until the quotient becomes 0. The function then concatenates the remainders and returns the binary number. Here is an example:

def decimalToBinary(n): if n > 1: decimalToBinary(n//2) print(n % 2, end = '') decimal = 10 decimalToBinary(decimal)

It will output “1010”

### Conclusion:

Converting decimal numbers to binary is an important concept in computer science as it helps in understanding how computers store and process data. The built-in methods in JavaScript and Python provide an easy way of converting decimal numbers to binary, while other methods like using bitwise operator and recursion also can be used.

It’s useful to know how to convert decimal to binary in different languages and methodologies, as this can help

in understanding and solving various problems in computer science and programming. Understanding how to convert decimal numbers to binary can also help in understanding how to work with different data types, such as integers and floating-point numbers, and how to perform bitwise operations on them. Additionally, it can be used for understanding how data is stored in memory and how it is represented in different number systems.

In summary, converting decimal numbers to binary can be a useful tool for understanding how computers store and process data, and it is a fundamental concept in computer science. With the methods and techniques discussed in this article, you should now have the knowledge and tools to convert decimal numbers to binary with ease.