# Java Program to Add Two Binary Numbers

Write a Java program to add two binary numbers with an example. As we know, binary numbers are the combination of 1’s and 0’s. Thus, adding two binary numbers means

• 0 + 0 = 0
• 0 + 1 = 1
• 1 + 0 = 1
• 1 + 1 = 10. Here, 1 will carry forward.
• 1 (carry forwarded number) + 1 + 1 = 11 and the 1 will carry forward.
```package NumPrograms;

import java.util.Scanner;

private static Scanner sc;

public static void main(String[] args) {

sc = new Scanner(System.in);

System.out.println("Enter The First and Second Binary Numbers = ");
long b1 = sc.nextLong();
long b2 = sc.nextLong();

int i = 0, carry = 0;

int[] sum = new int;

while(b1 != 0 || b2 != 0)
{
sum[i++] = (int)((b1 % 10 + b2 % 10 + carry) % 2);
carry    = (int)((b1 % 10 + b2 % 10 + carry) / 2);
b1 /= 10;
b2 /= 10;
}
if(carry != 0)
{
sum[i++] = carry;
}
--i;
System.out.print("\nThe Sum of Two Binary Numbers = ");
while(i >= 0)
{
System.out.print(sum[i--]);
}
System.out.println();
}

}```

This Java program converts the binary to integer and adds two binary numbers. If the two binary numbers are of string data type, we can use the Integer parseInt method to convert them to integer and add those two integer values. Next, we can convert them back to a binary number using the Java toBinaryString.

```package NumPrograms;

import java.util.Scanner;

private static Scanner sc;

public static void main(String[] args) {

sc = new Scanner(System.in);

System.out.println("Enter The First and Second Binary Numbers = ");
String b1 = sc.nextLine();
String b2 = sc.nextLine();

int num1 = Integer.parseInt(b1, 2);
int num2 = Integer.parseInt(b2, 2);

int output = num1 + num2;

System.out.print("\nThe Sum of Two Binary Numbers = ");
System.out.print(Integer.toBinaryString(output));
}
}```
``````Enter The First and Second Binary Numbers =
101010
111111

The Sum of Two Binary Numbers = 1101001``````

Java program to add two binary numbers using the for loop.

```package NumPrograms;

import java.util.Scanner;

private static Scanner sc;

public static void main(String[] args) {

sc = new Scanner(System.in);

System.out.println("Enter The First and Second Binary Numbers = ");
long b1 = sc.nextLong();
long b2 = sc.nextLong();

int i, carry = 0;

int[] sum = new int;

for(i = 0; b1 != 0 || b2 != 0; b1 /= 10, b2 /= 10)
{
sum[i++] = (int)((b1 % 10 + b2 % 10 + carry) % 2);
carry    = (int)((b1 % 10 + b2 % 10 + carry) / 2);
}
if(carry != 0)
{
sum[i++] = carry;
}
--i;
System.out.print("\nThe Sum of Two Binary Numbers = ");
while(i >= 0)
{
System.out.print(sum[i--]);
}
System.out.println();
}

}```
``````Enter The First and Second Binary Numbers =
110101
010111

The Sum of Two Binary Numbers = 1001100``````