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C++ - Bitwise AND operator



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

Bit_1Bit_2Bit_1 & Bit_2
000
100
010
111

The example below describes how bitwise AND operator works:

50 & 25 returns 16

     50    ->    110010  (In Binary)
   & 25    ->  & 011001  (In Binary)
    ----        --------
     16    <-    010000  (In Binary)  

The code of using Bitwise AND operator (&) is given below:

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

  //Bitwise AND operation
  z = x & y;

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

The output of the above code will be:

z = 16

Example: Check if a number is even or odd

The last bit of an even number is always 0, whereas for an odd number the last bit is always 1. Therefore, for a given number n, (n & 1) returns 0 if the n is even, else returns 1.

Even Number: 

     50   ->    110010  (In Binary)
    & 1   ->  & 000001  (In Binary)
    ----       --------
      0   <-    000000

Odd Number: 

     99   ->    1100011  (In Binary)
    & 1   ->  & 0000001  (In Binary)
    ----       ---------
      1   <-    0000001

The below code checks whether a given number is even or odd:

#include <iostream>
using namespace std;

static void CheckEven(int MyNum){
  if ((MyNum & 1) == 1){
    cout<<MyNum<<" is an odd number.\n";
  } else {
    cout<<MyNum<<" is an even number.\n";
  }
}

int main() {
  CheckEven(50);
  CheckEven(99);
  return 0;
}

The above code will give the following output:

50 is an even number.
99 is an odd number.

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