Python - 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:

x = 50
y = 25

#Bitwise OR operation
z = x | y

#Displaying the result
print("z =", z)

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.

def MaxPowerOfTwo(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

print("MaxPowerOfTwo(100) =", \
    MaxPowerOfTwo(100))
print("MaxPowerOfTwo(500) =", \
    MaxPowerOfTwo(500))
print("MaxPowerOfTwo(1000) =", \
    MaxPowerOfTwo(1000))      

The above code will give the following output:

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