Write a program in Java to accept a positive integer from the user. If the number has odd number of digits, then display the square of the middle digit. But if the number has even number of digits, then display the square root of the sum of the square of the two digits in the middle.

**Example 1**:

INPUT:

N = 12345

OUTPUT:

Middle number = 3.

Square of the middle number = 9.

**Example 2**:

INPUT:

N = 123456

OUTPUT:

Middle number = 34

Sum of the squares of digits = 3^{2} + 4^{2} = 25.

Square root = 5.0

```
import java.io.*;
class Middle{
public static void main(String args[])throws IOException{
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
System.out.print("N = ");
int num = Math.abs(Integer.parseInt(br.readLine()));
int count = 0;
for(int i = num; i != 0; i /= 10)
count++;
if(count % 2 == 1){
for(int i = 1; i <= count / 2; i++){
num /= 10;
}
int mid = num % 10;
System.out.println("Middle number = " + mid);
System.out.println("Square of the middle number = " + mid * mid);
}
else{
for(int i = 1; i < count / 2; i++){
num /= 10;
}
int mid = num % 100;
System.out.println("Middle number = " + mid);
int first = mid / 10;
int second = mid % 10;
int sum = first * first + second * second;
System.out.println("Sum of the square of digits = " + sum);
double s = Math.sqrt(sum);
System.out.println("Square root = " + s);
}
}
}
```

Sir,a program is given which states that:

Permutation and combination of 2 numbers n and r are calculated as:

nPr=!n/!(n-r)

nCr=!n/(!(n-r)*!r)

where permutation is denoted as nPr and combination is denoted as nCr.The nPr means permutation of n and r & nCr means combination of n and r.

WAP in java to accept 2 nos n and r by using the above formula.

Sample Input:

N=11

R=10

Sample Output:

nPr is:39916800

nCr is:11

Display an appropriate message if n or r is less than 0

Write a program in java to accept two numbers in binary form and print their summation without converting them in decimal form

Here is the solution to your problem of adding two binary numbers without converting them to decimal numbers.