Decimal to Binary Conversion in JavaScript

This post will discuss how to convert a decimal number to a binary number in JavaScript.

Binary is a base 2 number system that uses only two digits: 0 and 1. To convert a decimal (base 10) number to binary, we need to find the binary representation that is equivalent to the decimal value. For example, the decimal number 54 is equal to the binary number 110110. Some of the common ways are:

1. Using `Number.toString()` function

One of the easiest and most common ways to convert a number to binary in JavaScript is by using the Number.toString() function with a radix of 2. The toString() function converts a number to a string representation in a given base. The radix parameter specifies the base of the number system, which can be any integer from 2 to 36. For example, if we want to convert the number 54 to binary, we can write:

// A decimal number

let num = 54;

// Convert the number to binary using toString

let bin = num.toString(2);

// Prints '110110'

console.log(bin);

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2. Using bitwise operators

Another way to convert a number to binary in JavaScript is by using bitwise operators, which manipulate individual bits of a number. Bitwise operators perform operations on the binary representation of a number, such as shifting, masking, or flipping bits. For example, if we want to convert the number 54 to binary using bitwise operators, we can write:

let num = 54;

let bin = '';

// Loop until num becomes zero

while (num > 0)

{

// Get the rightmost bit of num using bitwise AND

let bit = num & 1;

// Prepend the bit to the binary string

bin = bit + bin;

// Right shift num by one bit using unsigned right shift operator

num >>>= 1;

}

// Prints '110110'

console.log(bin);

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3. Using Recursion

A third way to convert a number to binary in JavaScript is by using recursion, which is a technique where a function calls itself until a base case is reached. Recursion can be used to divide a problem into smaller subproblems that are easier to solve. We can use recursion to convert a number to binary by repeatedly dividing the number by 2 and appending the remainders to the binary representation. For example, if we want to convert the number 54 to binary using recursion, we can write:

// Define a recursive function that takes a number as an argument

function decimalToBinary(num)

{

// Base case: if num is zero, return an empty string

if (num === 0) {

return '';

}

// Recursive case: divide num by 2 and get the remainder

let remainder = num % 2;

// Return the recursive call with the quotient and append the remainder

return decimalToBinary(Math.floor(num / 2)) + remainder;

}

// A decimal number

let num = 54;

// Convert the number to binary using recursion

let bin = decimalToBinary(num);

// Prints '110110'

console.log(bin);

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Recursion is a powerful and elegant way of converting a number to binary, but it may not be very efficient in terms of performance. That’s all about converting a decimal number to a binary number in JavaScript.

Decimal to Binary Conversion in JavaScript

1. Using Number.toString() function

2. Using bitwise operators

3. Using Recursion

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1. Using `Number.toString()` function