mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-12-18 01:00:15 +00:00
39a99b46f5
* even_or_not file added * Updated DIRECTORY.md * modified DIRECTORY.md * Update bit_manipulation/even_or_not.py * updating DIRECTORY.md * Rename even_or_not.py to is_even.py * updating DIRECTORY.md Co-authored-by: luciferx48 <laukik.22010776@gmail.com> Co-authored-by: Christian Clauss <cclauss@me.com> Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
38 lines
834 B
Python
38 lines
834 B
Python
def is_even(number: int) -> bool:
|
|
"""
|
|
return true if the input integer is even
|
|
Explanation: Lets take a look at the following deicmal to binary conversions
|
|
2 => 10
|
|
14 => 1110
|
|
100 => 1100100
|
|
3 => 11
|
|
13 => 1101
|
|
101 => 1100101
|
|
from the above examples we can observe that
|
|
for all the odd integers there is always 1 set bit at the end
|
|
also, 1 in binary can be represented as 001, 00001, or 0000001
|
|
so for any odd integer n => n&1 is always equlas 1 else the integer is even
|
|
|
|
>>> is_even(1)
|
|
False
|
|
>>> is_even(4)
|
|
True
|
|
>>> is_even(9)
|
|
False
|
|
>>> is_even(15)
|
|
False
|
|
>>> is_even(40)
|
|
True
|
|
>>> is_even(100)
|
|
True
|
|
>>> is_even(101)
|
|
False
|
|
"""
|
|
return number & 1 == 0
|
|
|
|
|
|
if __name__ == "__main__":
|
|
import doctest
|
|
|
|
doctest.testmod()
|