Program for Binary To Decimal Conversion

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

Examples :

Input : 111
Output : 7

Input : 1010
Output : 10

Input: 100001
Output: 33

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

The idea is to extract the digits of given binary number starting from right most digit and keep a variable dec_value. At the time of extracting digits from the binary number, multiply the digit with the proper base (Power of 2) and add it to the variable dec_value. At the end, the variable dec_value will store the required decimal number.

For Example:
If the binary number is 111.
dec_value = 1*(2^2) + 1*(2^1) + 1*(2^0) = 7

Below diagram explains how to convert ( 1010 ) to equivalent decimal value:
binary2decimal

Below is the implementation of above idea :

C++

// C++ program to convert binary to decimal 
#include <iostream> 
using namespace std; 
  
// Function to convert binary to decimal 
int binaryToDecimal(int n) 
{ 
    int num = n; 
    int dec_value = 0; 
  
    // Initializing base value to 1, i.e 2^0 
    int base = 1; 
  
    int temp = num; 
    while (temp) { 
        int last_digit = temp % 10; 
        temp = temp / 10; 
  
        dec_value += last_digit * base; 
  
        base = base * 2; 
    } 
  
    return dec_value; 
} 
  
// Driver program to test above function 
int main() 
{ 
    int num = 10101001; 
  
    cout << binaryToDecimal(num) << endl; 
} 

Java

// Java program to convert 
// binary to decimal 
  
// Function to convert 
// binary to decimal 
class GFG { 
    static int binaryToDecimal(int n) 
    { 
        int num = n; 
        int dec_value = 0; 
  
        // Initializing base 
        // value to 1, i.e 2^0 
        int base = 1; 
  
        int temp = num; 
        while (temp > 0) { 
            int last_digit = temp % 10; 
            temp = temp / 10; 
  
            dec_value += last_digit * base; 
  
            base = base * 2; 
        } 
  
        return dec_value; 
    } 
  
    // Driver Code 
    public static void main(String[] args) 
    { 
        int num = 10101001; 
        System.out.println(binaryToDecimal(num)); 
    } 
} 
  
// This code is contributed by mits. 

Python3

# Python3 program to convert  
# binary to decimal 
  
# Function to convert  
# binary to decimal 
def binaryToDecimal(n): 
    num = n; 
    dec_value = 0; 
      
    # Initializing base  
    # value to 1, i.e 2 ^ 0 
    base = 1; 
      
    temp = num; 
    while(temp): 
        last_digit = temp % 10; 
        temp = int(temp / 10); 
          
        dec_value += last_digit * base; 
        base = base * 2; 
    return dec_value; 
  
# Driver Code 
num = 10101001; 
print(binaryToDecimal(num)); 
  
# This code is contributed by mits 

C#

// C# program to convert 
// binary to decimal 
  
// Function to convert 
// binary to decimal 
class GFG { 
    public static int binaryToDecimal(int n) 
    { 
        int num = n; 
        int dec_value = 0; 
  
        // Initializing base1 
        // value to 1, i.e 2^0 
        int base1 = 1; 
  
        int temp = num; 
        while (temp > 0) { 
            int last_digit = temp % 10; 
            temp = temp / 10; 
  
            dec_value += last_digit * base1; 
  
            base1 = base1 * 2; 
        } 
  
        return dec_value; 
    } 
  
    // Driver Code 
    public static void Main() 
    { 
        int num = 10101001; 
  
        System.Console.Write(binaryToDecimal(num)); 
    } 
} 
  
// This code is contributed by mits. 

PHP

<?php 
// PHP program to convert  
// binary to decimal 
  
// Function to convert  
// binary to decimal 
function binaryToDecimal($n) 
{ 
    $num = $n; 
    $dec_value = 0; 
      
    // Initializing base value  
    // to 1, i.e 2^0 
    $base = 1; 
      
    $temp = $num; 
    while ($temp) 
    { 
        $last_digit = $temp % 10; 
        $temp = $temp / 10; 
          
        $dec_value += $last_digit
                        * $base; 
        $base = $base*2; 
    } 
    return $dec_value; 
} 
  
    // Driver Code 
    $num = 10101001; 
    echo binaryToDecimal($num), "\n"; 
  
// This code is contributed by ajit 
?> 

Output:

Note: The program works only with binary numbers in the range of integers. In case you want to work with long binary numbers like 20 bits or 30 bit, you can use string variable to store the binary numbers.

Below is a similar program which uses string variable instead of integers to store binary value:

C++

// C++ program to convert binary to decimal 
// when input is represented as binary string. 
#include <iostream> 
#include <string> 
using namespace std; 
  
// Function to convert binary to decimal 
int binaryToDecimal(string n) 
{ 
    string num = n; 
    int dec_value = 0; 
  
    // Initializing base value to 1, i.e 2^0 
    int base = 1; 
  
    int len = num.length(); 
    for (int i = len - 1; i >= 0; i--) { 
        if (num[i] == '1') 
            dec_value += base; 
        base = base * 2; 
    } 
  
    return dec_value; 
} 
  
// Driver program to test above function 
int main() 
{ 
    string num = "10101001"; 
    cout << binaryToDecimal(num) << endl; 
} 

Java

// Java program to convert binary to 
// decimal when input is represented 
// as binary string. 
import java.io.*; 
  
class GFG { 
  
    // Function to convert binary to decimal 
    static int binaryToDecimal(String n) 
    { 
        String num = n; 
        int dec_value = 0; 
  
        // Initializing base value to 1, 
        // i.e 2^0 
        int base = 1; 
  
        int len = num.length(); 
        for (int i = len - 1; i >= 0; i--) { 
            if (num.charAt(i) == '1') 
                dec_value += base; 
            base = base * 2; 
        } 
  
        return dec_value; 
    } 
  
    // Driver program to test above function 
    public static void main(String[] args) 
    { 
        String num = new String("10101001"); 
        System.out.println(binaryToDecimal(num)); 
    } 
} 
  
// This code is contribute by Prerna Saini 

Python3

# Python3 program to convert binary  
# to decimal when input is  
# represented as binary string. 
  
# Function to convert  
# binary to decimal 
def binaryToDecimal(n): 
    num = n; 
    dec_value = 0; 
      
    # Initializing base  
    # value to 1, i.e 2 ^ 0 
    base1 = 1; 
      
    len1 = len(num); 
    for i in range(len1 - 1, -1, -1): 
        if (num[i] == '1'):      
            dec_value += base1; 
        base1 = base1 * 2; 
      
    return dec_value; 
  
# Driver Code 
num = "10101001";  
print(binaryToDecimal(num)); 
  
# This code is contributed by mits 

C#

// C# program to convert binary to 
// decimal when input is represented 
// as binary string. 
using System; 
  
class GFG { 
  
    // Function to convert binary to decimal 
    static int binaryToDecimal(String n) 
    { 
        String num = n; 
        int dec_value = 0; 
  
        // Initializing base value to 1, 
        // i.e 2^0 
        int base1 = 1; 
  
        int len = num.Length; 
        for (int i = len - 1; i >= 0; i--) { 
            if (num[i] == '1') 
                dec_value += base1; 
            base1 = base1 * 2; 
        } 
  
        return dec_value; 
    } 
  
    // Driver Code 
    public static void Main() 
    { 
        String num = "10101001"; 
        Console.WriteLine(binaryToDecimal(num)); 
    } 
} 
  
// This code is contribute by mits 

PHP

<?php 
// PHP program to convert binary  
// to decimal when input is  
// represented as binary string. 
  
// Function to convert  
// binary to decimal 
function binaryToDecimal($n) 
{ 
    $num = $n; 
    $dec_value = 0; 
      
    // Initializing base  
    // value to 1, i.e 2^0 
    $base = 1; 
      
    $len = strlen($num); 
    for ($i = $len - 1; $i >= 0; $i--) 
    { 
        if ($num[$i] == '1')      
            $dec_value += $base; 
        $base = $base * 2; 
    } 
      
    return $dec_value; 
} 
  
// Driver Code 
$num = "10101001";  
echo binaryToDecimal($num), "\n"; 
  
// This code is contributed by aj_36 
?> 

Output :

Using pre-defined function:

Java

public class GFG { 
    public static void main(String args[]) 
    { 
        String binaryNumber = "1001"; 
        System.out.println(Integer.parseInt(binaryNumber, 2)); 
    } 
} 
  
// This code is contributed 
// By Yash Kumar Arora 

Python3

n = input() 
  
# Convert n to base 2 
s = int(n, 2) 
  
print(s) 

C#

using System; 
  
class GFG {  
      
public static void Main()  
{  
    int value = 1001; 
    Console.Write(Convert.ToInt32(value.ToString(), 2)); 
}  
} 
  
// This code is contributed by SoumikMondal 

Output :

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My Personal Notes

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

C++

Java

Python3

C#

PHP

C++

Java

Python3

C#

PHP

Java

Python3

C#

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