__and__() method implements the built-in Bitwise AND
& operation. So, when you cal
x & y, Python attempts to call
x.__and__(y). If the method is not implemented, Python first attempts to call
__rand__ on the right operand and if this isn’t implemented either, it raises a
We call this a “Dunder Method” for “Double Underscore Method” (also called “magic method”). To get a list of all dunder methods with explanation, check out our dunder cheat sheet article on this blog.
Background Bitwise AND &
Python’s bitwise AND operator
x & y performs logical AND on each bit position on the binary representations of integers
y. Thus, each output bit is 1 if both input bits at the same position are 1, otherwise, it’s 0. For example, the integer expression 4 & 3 is translated to binaries 0100 & 0011 which results in 0000 because all four input bit positions are different.
In this example, you apply the bitwise AND operator to two integers 32 and 16:
>>> 32 & 16 0
32 & 16 operates on the bit representations
"010000" (decimal 32) and
"001000" (decimal 16) and performs bitwise AND. As all i-th bit positions are different, the result is 0:
|First Operand ||1||0||0||0||0||0|
|Second Operand ||0||1||0||0||0||0|
To understand this operation in detail, feel free to read over our tutorial or watch the following video:
Example Custom __and__()
In the following example, you create a custom class
Data and overwrite the
__and__() method so that it returns a dummy string when trying to calculate the bitwise AND operation.
class Data: def __and__(self, other): return '... my result of AND ...' a = Data() b = Data() print(a & b) # ... my result of AND ...
If you hadn’t defined the
__and__() method, Python would’ve raised a
TypeError: unsupported operand type(s) for &
Consider the following code snippet where you try to calculate the operation on custom objects without defining the dunder method
class Data: pass a = Data() b = Data() print(a & b)
Running this leads to the following error message on my computer:
Traceback (most recent call last): File "C:\Users\xcent\Desktop\code.py", line 8, in <module> print(a & b) TypeError: unsupported operand type(s) for &: 'Data' and 'Data'
The reason for this error is that the
__and__() method has never been defined—and it is not defined for a custom object by default. So, to resolve the
TypeError: unsupported operand type(s) for &, you need to provide the
__and__(self, other) method in your class definition as shown previously:
class Data: def __and__(self, other): return '... my result of AND ...'
Of course, you’d use another return value in practice as explained in the “Background” section.
Python __and__ vs __rand__
Say, you want to calculate the
& operation on two custom objects
print(x & y)
Python first tries to call the left object’s
x.__and__(y). But this may fail for two reasons:
- The method
x.__and__()is not implemented in the first place, or
- The method
x.__is implemented but returns a
NotImplementedvalue indicating that the data types are incompatible.
If this fails, Python tries to fix it by calling the
y.__rand__() for reverse bitwise AND on the right operand
If the reverse bitwise AND method is implemented, Python knows that it doesn’t run into a potential problem of a non-commutative operation. If it would just execute
y.__and__(x) instead of
x.__and__(y), the result would be wrong because the operation may be non-commutative when defined as a custom operation. That’s why
y.__rand__(x) is needed.
So, the difference between
x.__rand__(y) is that the former calculates
x & y whereas the latter calculates
y & x — both calling the respective method defined on the object
You can see this in effect here where we attempt to call the operation on the left operand
x—but as it’s not implemented, Python simply calls the reverse operation on the right operand
class Data_1: pass class Data_2: def __rand__(self, other): return 'called reverse bitwise AND' x = Data_1() y = Data_2() print(x & y) # called reverse bitwise AND
Where to Go From Here?
Enough theory, let’s get some practice!
To become successful in coding, you need to get out there and solve real problems for real people. That’s how you can become a six-figure earner easily. And that’s how you polish the skills you really need in practice. After all, what’s the use of learning theory that nobody ever needs?
Practice projects is how you sharpen your saw in coding!
Do you want to become a code master by focusing on practical code projects that actually earn you money and solve problems for people?
Then become a Python freelance developer! It’s the best way of approaching the task of improving your Python skills—even if you are a complete beginner.
Join my free webinar “How to Build Your High-Income Skill Python” and watch how I grew my coding business online and how you can, too—from the comfort of your own home.
While working as a researcher in distributed systems, Dr. Christian Mayer found his love for teaching computer science students.
To help students reach higher levels of Python success, he founded the programming education website Finxter.com. He’s author of the popular programming book Python One-Liners (NoStarch 2020), coauthor of the Coffee Break Python series of self-published books, computer science enthusiast, freelancer, and owner of one of the top 10 largest Python blogs worldwide.
His passions are writing, reading, and coding. But his greatest passion is to serve aspiring coders through Finxter and help them to boost their skills. You can join his free email academy here.