Program for Decimal to Binary Conversion

Difficulty Level : Easy
Last Updated : 22 Jul, 2020

Given a decimal number as input, we need to write a program to convert the given decimal number into equivalent binary number.

Examples:

 
Input : 7
Output : 111

Input : 10
Output : 1010

Input: 33
Output: 100001

Recommended: Please solve it on “PRACTICE ” first, before moving on to the solution.

Algorithm:

Store the remainder when the number is divided by 2 in an array.
Divide the number by 2
Repeat the above two steps until the number is greater than zero.
Print the array in reverse order now.

For Example:
If the binary number is 10.
Step 1: Remainder when 10 is divided by 2 is zero. Therefore, arr[0] = 0.
Step 2: Divide 10 by 2. New number is 10/2 = 5.
Step 3: Remainder when 5 is divided by 2 is 1. Therefore, arr[1] = 1.
Step 4: Divide 5 by 2. New number is 5/2 = 2.
Step 5: Remainder when 2 is divided by 2 is zero. Therefore, arr[2] = 0.
Step 6: Divide 2 by 2. New number is 2/2 = 1.
Step 7: Remainder when 1 is divided by 2 is 1. Therefore, arr[3] = 1.
Step 8: Divide 1 by 2. New number is 1/2 = 0.
Step 9: Since number becomes = 0. Print the array in reverse order. Therefore the equivalent binary number is 1010.

Below diagram shows an example of converting the decimal number 17 to equivalent binary number.

Below is the implementation of above idea.

C/C++

// C++ program to convert a decimal 
// number to binary number 
  
#include <iostream> 
using namespace std; 
  
// function to convert decimal to binary 
void decToBinary(int n) 
{ 
    // array to store binary number 
    int binaryNum[32]; 
  
    // counter for binary array 
    int i = 0; 
    while (n > 0) { 
  
        // storing remainder in binary array 
        binaryNum[i] = n % 2; 
        n = n / 2; 
        i++; 
    } 
  
    // printing binary array in reverse order 
    for (int j = i - 1; j >= 0; j--) 
        cout << binaryNum[j]; 
} 
  
// Driver program to test above function 
int main() 
{ 
    int n = 17; 
    decToBinary(n); 
    return 0; 
} 

Java

// Java program to convert a decimal 
// number to binary number 
import java.io.*; 
  
class GFG { 
    // function to convert decimal to binary 
    static void decToBinary(int n) 
    { 
        // array to store binary number 
        int[] binaryNum = new int[32]; 
  
        // counter for binary array 
        int i = 0; 
        while (n > 0) { 
            // storing remainder in binary array 
            binaryNum[i] = n % 2; 
            n = n / 2; 
            i++; 
        } 
  
        // printing binary array in reverse order 
        for (int j = i - 1; j >= 0; j--) 
            System.out.print(binaryNum[j]); 
    } 
  
    // driver program 
    public static void main(String[] args) 
    { 
        int n = 17; 
        decToBinary(n); 
    } 
} 
  
// Contributed by Pramod Kumar 

Python3

# Python3 program to convert a  
# decimal number to binary number 
  
# function to convert 
# decimal to binary 
def decToBinary(n): 
      
    # array to store 
    # binary number 
    binaryNum = [0] * n; 
  
    # counter for binary array 
    i = 0; 
    while (n > 0):  
  
        # storing remainder 
        # in binary array 
        binaryNum[i] = n % 2; 
        n = int(n / 2); 
        i += 1; 
  
    # printing binary array 
    # in reverse order 
    for j in range(i - 1, -1, -1): 
        print(binaryNum[j], end = ""); 
  
# Driver Code 
n = 17; 
decToBinary(n); 
  
# This code is contributed by mits 

C#

// C# program to convert a decimal 
// number to binary number 
using System; 
  
public class GFG { 
  
    // function to convert decimal 
    // to binary 
    static void decToBinary(int n) 
    { 
        // array to store binary number 
        int[] binaryNum = new int[32]; 
  
        // counter for binary array 
        int i = 0; 
        while (n > 0) { 
            // storing remainder in 
            // binary array 
            binaryNum[i] = n % 2; 
            n = n / 2; 
            i++; 
        } 
  
        // printing binary array 
        // in reverse order 
        for (int j = i - 1; j >= 0; j--) 
            Console.Write(binaryNum[j]); 
    } 
  
    // Driver Code 
    public static void Main() 
    { 
        int n = 17; 
        decToBinary(n); 
    } 
} 
  
// This code is contributed by Sam007. 

PHP

<?php 
// PHP program to convert a decimal 
// number to binary number 
  
// function to convert 
// decimal to binary 
function decToBinary($n) 
{ 
    // array to store 
    // binary number 
    $binaryNum; 
  
    // counter for binary array 
    $i = 0; 
    while ($n > 0)  
    { 
  
        // storing remainder 
        // in binary array 
        $binaryNum[$i] = $n % 2; 
        $n = (int)($n / 2); 
        $i++; 
    } 
  
    // printing binary array 
    // in reverse order 
    for ($j = $i - 1; $j >= 0; $j--) 
        echo $binaryNum[$j]; 
} 
  
// Driver Code 
$n = 17; 
decToBinary($n); 
  
// This code is contributed by m_kit 
?> 

Output :

We can use bitwise operators to do above job. Note that bitwise operators work faster than arithmetic operators used above.

C++

// CPP program to Decimal to binary conversion 
// using bitwise operator 
// Size of an integer is assumed to be 32 bits 
#include <iostream> 
using namespace std; 
  
// Function that convert Decimal to binary 
int decToBinary(int n) 
{ 
    // Size of an integer is assumed to be 32 bits 
    for (int i = 31; i >= 0; i--) { 
        int k = n >> i; 
        if (k & 1) 
            cout << "1"; 
        else
            cout << "0"; 
    } 
} 
  
// driver code 
int main() 
{ 
    int n = 32; 
    decToBinary(n); 
} 

Java

// Java program to Decimal to binary conversion 
// using bitwise operator 
// Size of an integer is assumed to be 32 bits 
  
class gfg { 
    // Function that convert Decimal to binary 
    public void decToBinary(int n) 
    { 
        // Size of an integer is assumed to be 32 bits 
        for (int i = 31; i >= 0; i--) { 
            int k = n >> i; 
            if ((k & 1) > 0) 
                System.out.print("1"); 
            else
                System.out.print("0"); 
        } 
    } 
} 
  
class geek { 
    // driver code 
    public static void main(String[] args) 
    { 
        gfg g = new gfg(); 
        int n = 32; 
        g.decToBinary(n); 
    } 
} 
// This code is contributed by mits 

Python3

# Python3 program to Decimal  
# to binary conversion using 
# bitwise operator 
  
# Size of an integer is   
# assumed to be 32 bits 
  
# Function that convert  
# Decimal to binary 
def decToBinary(n): 
      
    # Size of an integer is 
    # assumed to be 32 bits 
    for i in range(31, -1, -1):  
        k = n >> i; 
        if (k & 1): 
            print("1", end = ""); 
        else: 
            print("0", end = ""); 
  
# Driver Code 
n = 32; 
decToBinary(n); 
  
# This code is contributed by mits 

C#

// C# program to Decimal to binary conversion 
// using bitwise operator 
// Size of an integer is assumed to be 32 bits 
using System; 
class gfg { 
    // Function that convert Decimal to binary 
    public void decToBinary(int n) 
    { 
        // Size of an integer is assumed to be 32 bits 
        for (int i = 31; i >= 0; i--) { 
            int k = n >> i; 
            if ((k & 1) > 0) 
                Console.Write("1"); 
            else
                Console.Write("0"); 
        } 
    } 
} 
  
class geek { 
    // driver code 
    public static int Main() 
    { 
        gfg g = new gfg(); 
        int n = 32; 
        g.decToBinary(n); 
        return 0; 
    } 
} 

PHP

<?php 
// PHP program to Decimal to binary conversion 
// using bitwise operator 
  
// Size of an integer is assumed  
// to be 32 bits 
  
// Function that convert Decimal to binary 
function decToBinary($n) 
{ 
      
    // Size of an integer is 
    // assumed to be 32 bits 
    for ( $i = 31; $i >= 0; $i--)  
    { 
        $k = $n >> $i; 
        if ($k & 1) 
            echo "1"; 
        else
            echo "0"; 
    } 
} 
  
    // Driver Code 
    $n = 32; 
    decToBinary($n); 
  
// This code is contributed by aj_36 
?> 

Output :

00000000000000000000000000100000

Thanks to ajay0007 for suggesting above solution.

Decimal to binary conversion can also be done without using arrays.

C++

// C++ implementation of the approach 
#include <cmath> 
#include <iostream> 
using namespace std; 
  
#define ull unsigned long long int 
  
// Function to return the binary 
// equivalent of decimal value N 
int decimalToBinary(int N) 
{ 
  
    // To store the binary number 
    ull B_Number = 0; 
    int cnt = 0; 
    while (N != 0) { 
        int rem = N % 2; 
        ull c = pow(10, cnt); 
        B_Number += rem * c; 
        N /= 2; 
  
        // Count used to store exponent value 
        cnt++; 
    } 
  
    return B_Number; 
} 
  
// Driver code 
int main() 
{ 
  
    int N = 17; 
  
    cout << decimalToBinary(N); 
  
    return 0; 
} 

Java

// Java implementation of the approach  
import java.io.*; 
  
class GFG  
{ 
  
// Function to return the binary  
// equivalent of decimal value N  
static int decimalToBinary(int N)  
{  
  
    // To store the binary number  
    int B_Number = 0;  
    int cnt = 0;  
    while (N != 0) 
    {  
        int rem = N % 2;  
        double c = Math.pow(10, cnt);  
        B_Number += rem * c;  
        N /= 2;  
  
        // Count used to store exponent value  
        cnt++;  
    }  
  
    return B_Number;  
}  
  
// Driver code  
public static void main (String[] args) 
{ 
      
    int N = 17;  
    System.out.println (decimalToBinary(N));  
  
} 
} 
  
// This code is contribted by ajit.  

Python3

# Python3 implementation of the approach  
  
# Function to return the binary  
# equivalent of decimal value N  
def decimalToBinary(N): 
      
    # To store the binary number  
    B_Number = 0
    cnt = 0
    while (N != 0): 
        rem = N % 2
        c = pow(10, cnt)  
        B_Number += rem * c  
        N //= 2
          
        # Count used to store exponent value  
        cnt += 1
      
    return B_Number  
  
# Driver code  
N = 17
print(decimalToBinary(N)) 
  
# This code is contributed by  
# SHUBHAMSINGH10 

C#

// C# implementation of the approach 
using System; 
  
class GFG 
{ 
      
// Function to return the binary  
// equivalent of decimal value N  
static int decimalToBinary(int N)  
{  
  
    // To store the binary number  
    int B_Number = 0;  
    int cnt = 0;  
    while (N != 0) 
    {  
        int rem = N % 2;  
        int c = (int)Math.Pow(10, cnt);  
        B_Number += rem * c;  
        N /= 2;  
  
        // Count used to store exponent value  
        cnt++;  
    }  
  
    return B_Number;  
}  
  
// Driver code  
static public void Main () 
{ 
    int N = 17;  
    Console.Write(decimalToBinary(N));  
} 
} 
  
// This code is contributed by Tushil.  

Output :

Note that this method is similar to the one where we convert Binary to Decimal as discussed in this post.

There is yet another method that converts any Decimal Number to its Binary form. The idea is to use bitset.

Below is the implementation of the above approach.

C++

//C++ program to convert a decimal mumber 
//to its binary form. 
  
//including heaader file 
#include <bits/stdc++.h> 
using namespace std; 
  
//Function to convert a decimal mumber 
//to its binary form 
string decimalToBinary(int n) 
{ 
    //finding the binary form of the number and  
    //coneverting it to string.  
    string s = bitset<64> (n).to_string(); 
      
    //Finding the first occurance of "1" 
    //to strip off the leading zeroes. 
    const auto loc1 = s.find('1'); 
      
    if(loc1 != string::npos) 
        return s.substr(loc1); 
      
    return "0"; 
} 
  
//Driver Code 
int main() 
{ 
    int n = 17; 
      
    //Function call 
    cout << decimalToBinary(n); 
  
    return 0; 
} 
  
//This code is contributed by yashbeersingh42 

Output :

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Recommended: Please solve it on “PRACTICE ” first, before moving on to the solution.

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