C++ - Bitwise OR operator

The Bitwise OR operator (|) is a binary operator which takes two bit patterns of equal length and performs the logical OR operation on each pair of corresponding bits. It returns 1 if either or both bits at the same position are 1, else returns 0.

The example below describes how bitwise OR operator works:

50 | 25 returns 59

     50    ->    110010  (In Binary)
   | 25    ->  | 011001  (In Binary)
    ----        --------
     59    <-    111011  (In Binary)  

The code of using Bitwise OR operator (|) is given below:

#include <iostream>
using namespace std;
 
int main (){
  int x = 50;
  int y = 25;
  int z;

  //Bitwise OR operation
  z = x | y;

  //Displaying the result
  cout<<"z = "<<z;
  return 0;
}

The output of the above code will be:

z = 59

Example: Find largest power of 2 less than or equal to given number

Consider an integer 1000. In the bit-wise format, it can be written as 1111101000. However, all bits are not written here. A complete representation will be 32 bit representation as given below:

00000000000000000000001111101000  

Performing N = N | (N>>i) operation, where i = 1, 2, 4, 8, 16 will change all right side bit to 1. When applied on 1000, the result in 32 bit representation is given below:

00000000000000000000001111111111 

Adding one to this result and then right shifting the result by one place will give largest power of 2 less than or equal to 1000.

00000000000000000000001000000000 

The below code will calculate the largest power of 2 less than or equal to given number.

#include <iostream>
using namespace std;

static int MaxPowerOfTwo(int N) {
  //changing all right side bits to 1.
  N = N | (N>>1);
  N = N | (N>>2);
  N = N | (N>>4);
  N = N | (N>>8);
  N = N | (N>>16);
  
  //adding 1 to N makes smallest power
  //of 2 greater than given number
  N = N + 1;

  //right shift by one position makes
  //largest power of 2 less than or 
  //equal to given number
  N = N >> 1;
  
  return N;
}

int main() {
  cout<<"MaxPowerOfTwo(100) = "<<
      MaxPowerOfTwo(100)<<"\n";
  cout<<"MaxPowerOfTwo(500) = "<<
      MaxPowerOfTwo(500)<<"\n";
  cout<<"MaxPowerOfTwo(1000) = "<<
      MaxPowerOfTwo(1000)<<"\n";      
  return 0;
}

The above code will give the following output:

MaxPowerOfTwo(100) = 64
MaxPowerOfTwo(500) = 256
MaxPowerOfTwo(1000) = 512