Decimal to binary conversion without using arithmetic operators

Find the binary equivalent of the given non-negative number n without using arithmetic operators.

Examples:

Input : n = 10
Output : 1010

Input : n = 38
Output : 100110

Note that + in below algorithm/program is used for concatenation purpose. 
Algorithm:

decToBin(n)
    if n == 0
        return "0"
    Declare bin = ""
    Declare ch
    while n > 0
        if (n & 1) == 0
            ch = '0'
        else
            ch = '1'
        bin = ch + bin
        n = n >> 1
    return bin

 Below is the implementation of above approach:

C++

// C++ implementation of decimal to binary conversion
// without using arithmetic operators
#include <bits/stdc++.h>

using namespace std;

// function for decimal to binary conversion
// without using arithmetic operators
string decToBin(int n)
{
    if (n == 0)
        return "0";

    // to store the binary equivalent of decimal
    string bin = "";
    while (n > 0)
    {
        // to get the last binary digit of the number 'n'
        // and accumulate it at the beginning of 'bin'
        bin = ((n & 1) == 0 ? '0' : '1') + bin;

        // right shift 'n' by 1
        n >>= 1;
    }

    // required binary number
    return bin;
}

// Driver program to test above
int main()
{
    int n = 38;
    cout << decToBin(n);
    return 0;
}

Java

// Java implementation of decimal
// to binary conversion without
// using arithmetic operators
import java.io.*;

class GFG {

    // function for decimal to
    // binary conversion without
    // using arithmetic operators
    static String decToBin(int n)
    {
        if (n == 0)
            return "0";

        // to store the binary
        // equivalent of decimal
        String bin = "";

        while (n > 0)
        {
            // to get the last binary digit
            // of the number 'n' and accumulate
            // it at the beginning of 'bin'
            bin = ((n & 1) == 0 ? '0' : '1') + bin;

            // right shift 'n' by 1
            n >>= 1;
        }

        // required binary number
        return bin;
    }

    // Driver program to test above
    public static void main (String[] args) {

    int n = 38;
    System.out.println(decToBin(n));
    }
}

// This code is contributed by vt_m

Python3

# Python3 implementation of
# decimal to binary conversion
# without using arithmetic operators

# function for decimal to
# binary conversion without
# using arithmetic operators
def decToBin(n):
    if(n == 0):
        return "0";

    # to store the binary
    # equivalent of decimal
    bin = "";

    while (n > 0):

        # to get the last binary
        # digit of the number 'n'
        # and accumulate it at
        # the beginning of 'bin'
        if (n & 1 == 0):
            bin = '0' + bin;
        else:
            bin = '1' + bin;

        # right shift 'n' by 1
        # It also gives n//2 .
        n = n >> 1;

    # required binary number
    return bin;

# Driver Code
n = 38;
print(decToBin(n));

# This code is contributed
# by mits

C#

// C# implementation of decimal
// to binary conversion without
// using arithmetic operators
using System;

class GFG {

    // function for decimal to
    // binary conversion without
    // using arithmetic operators
    static String decToBin(int n)
    {
        if (n == 0)
            return "0";

        // to store the binary
        // equivalent of decimal
        String bin = "";

        while (n > 0) {

            // to get the last binary digit
            // of the number 'n' and accumulate
            // it at the beginning of 'bin'
            bin = ((n & 1) == 0 ? '0' : '1') + bin;

            // right shift 'n' by 1
            n >>= 1;
        }

        // required binary number
        return bin;
    }

    // Driver program to test above
    public static void Main()
    {

        int n = 38;
        Console.WriteLine(decToBin(n));
    }
}

// This code is contributed by Sam007

PHP

<?php
// PHP implementation of decimal
// to binary conversion without
// using arithmetic operators

// function for decimal to
// binary conversion without
// using arithmetic operators
function decToBin($n)
{
    if ($n == 0)
        return "0";

    // to store the binary
    // equivalent of decimal
    $bin = "";
    while ($n > 0)
    {
        // to get the last binary
        // digit of the number 'n'
        // and accumulate it at
        // the beginning of 'bin'
        $bin = (($n & 1) == 0 ?
                          '0' : '1') . $bin;

        // right shift 'n' by 1
        $n >>= 1;
    }

    // required binary number
    return $bin;
}

// Driver Code
$n = 38;
echo decToBin($n);

// This code is contributed
// by mits
?>

Javascript

<script>
// javascript implementation of decimal
// to binary conversion without
// using arithmetic operators

// function for decimal to
// binary conversion without
// using arithmetic operators
function decToBin(n)
{
    if (n == 0)
        return "0";

    // to store the binary
    // equivalent of decimal
    var bin = "";

    while (n > 0)
    {
        // to get the last binary digit
        // of the number 'n' and accumulate
        // it at the beginning of 'bin'
        bin = ((n & 1) == 0 ? '0' : '1') + bin;

        // right shift 'n' by 1
        n >>= 1;
    }

    // required binary number
    return bin;
}

// Driver program to test above
var n = 38;
document.write(decToBin(n));

// This code is contributed by shikhasingrajput
</script>

Output:

100110

Time complexity: O(num), where num is the number of bits in the binary representation of n.
Auxiliary space: O(num), for using extra space for string bin.

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