# Python Bitwise Operators

Published on August 3, 2022

Pankaj

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Python bitwise operators are used to perform bitwise calculations on integers. The integers are converted into binary format and then operations are performed bit by bit, hence the name bitwise operators. Python bitwise operators work on integers only and the final output is returned in the decimal format. Python bitwise operators are also called binary operators.

## Python Bitwise Operators

There are 6 bitwise operators in Python. The below table provides short details about them.

Bitwise Operator Description Simple Example
& Bitwise AND Operator 10 & 7 = 2
Bitwise OR Operator
^ Bitwise XOR Operator 10 ^ 7 = 13
~ Bitwise Ones’ Compliment Operator ~10 = -11
<< Bitwise Left Shift operator 10<<2 = 40
>> Bitwise Right Shift Operator 10>>1 = 5

Let’s look into these operators one by one and understand how they work.

### 1. Bitwise AND Operator

Python bitwise and operator returns 1 if both the bits are 1, otherwise 0.

``````>>> 10&7
2
>>>
``````

### 2. Bitwise OR Operator

Python bitwise or operator returns 1 if any of the bits is 1. If both the bits are 0, then it returns 0.

``````>>> 10|7
15
>>>
``````

### 3. Bitwise XOR Operator

Python bitwise XOR operator returns 1 if one of the bits is 0 and the other bit is 1. If both the bits are 0 or 1, then it returns 0.

``````>>> 10^7
13
>>>
``````

### 4. Bitwise Ones’ Complement Operator

Python Ones’ complement of a number ‘A’ is equal to -(A+1).

``````>>> ~10
-11
>>> ~-10
9
>>>
``````

### 5. Bitwise Left Shift Operator

Python bitwise left shift operator shifts the left operand bits towards the left side for the given number of times in the right operand. In simple terms, the binary number is appended with 0s at the end.

``````>>> 10 << 2
40
>>>
``````

### 6. Bitwise Right Shift Operator

Python right shift operator is exactly the opposite of the left shift operator. Then left side operand bits are moved towards the right side for the given number of times. In simple terms, the right side bits are removed.

``````>>> 10 >> 2
2
>>>
``````

Python supports operator overloading. There are various methods that we can implement to support bitwise operators for our custom objects.

Bitwise Operator Method to Implement
& __and__(self, other)
^ __xor__(self, other)
~ __invert__(self)
<< __lshift__(self, other)
>> __rshift__(self, other)

Here is an example of a bitwise operator overloading for our custom object.

``````class Data:
id = 0

def __init__(self, i):
self.id = i

def __and__(self, other):
print('Bitwise AND operator overloaded')
if isinstance(other, Data):
return Data(self.id & other.id)
else:
raise ValueError('Argument must be object of Data')

def __or__(self, other):
print('Bitwise OR operator overloaded')
if isinstance(other, Data):
return Data(self.id | other.id)
else:
raise ValueError('Argument must be object of Data')

def __xor__(self, other):
print('Bitwise XOR operator overloaded')
if isinstance(other, Data):
return Data(self.id ^ other.id)
else:
raise ValueError('Argument must be object of Data')

def __lshift__(self, other):
print('Bitwise Left Shift operator overloaded')
if isinstance(other, int):
return Data(self.id << other)
else:
raise ValueError('Argument must be integer')

def __rshift__(self, other):
print('Bitwise Right Shift operator overloaded')
if isinstance(other, int):
return Data(self.id >> other)
else:
raise ValueError('Argument must be integer')

def __invert__(self):
print('Bitwise Ones Complement operator overloaded')
return Data(~self.id)

def __str__(self):
return f'Data[{self.id}]'

d1 = Data(10)
d2 = Data(7)

print(f'd1&d2 = {d1&d2}')
print(f'd1|d2 = {d1|d2}')
print(f'd1^d2 = {d1^d2}')
print(f'd1<<2 = {d1<<2}')
print(f'd1>>2 = {d1>>2}')
print(f'~d1 = {~d1}')
``````

Output:

``````Bitwise AND operator overloaded
d1&d2 = Data[2]
Bitwise OR operator overloaded
d1|d2 = Data[15]
Bitwise XOR operator overloaded
d1^d2 = Data[13]
Bitwise Left Shift operator overloaded
d1<<2 = Data[40]
Bitwise Right Shift operator overloaded
d1>>2 = Data[2]
Bitwise Ones Complement operator overloaded
~d1 = Data[-11]
``````

If you are not familiar with the new string formatting, please read f-strings in Python.

## Summary

Python bitwise operators are mostly used in mathematical calculations. We can implement specific methods to support bitwise operators for our custom class implementations too.

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Pankaj

author

#### Still looking for an answer?

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JournalDev
DigitalOcean Employee
January 25, 2022

Awesome! I loved the explanation!

JournalDev
DigitalOcean Employee
October 19, 2020

Great Description.Appreciate the efforts.

- Pranav Sudhir

JournalDev
DigitalOcean Employee
October 13, 2020

made my concepts clear thank you!!!

- Parth Jain

JournalDev
DigitalOcean Employee
July 16, 2020

a = 81 a << 2 = 324 Can you please explain this ?

- Rekha

JournalDev
DigitalOcean Employee
January 3, 2020

very nice and clear, thank you !

- h.agnes

JournalDev
DigitalOcean Employee
December 8, 2019

How bitwise NOT works…?

- UDHAYAKUMAR

JournalDev
DigitalOcean Employee
November 14, 2019

In the 5 section : “Bitwise Left Shift Operator” >>> 10 >> 2 40 >>> should be replaced by >>> 10 << 2 40 >>>

- Nathanael HANIA

JournalDev
DigitalOcean Employee
November 12, 2019

Very succinct and clear description, awesome job!

- magicandcode

JournalDev
DigitalOcean Employee
November 1, 2019

i understand very clearly

- pavani

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