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38 changes: 38 additions & 0 deletions bit_manipulation/largest_power_of_2.py
Original file line number Diff line number Diff line change
@@ -0,0 +1,38 @@
def largest_power_of_2(number: int) -> int:

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As there is no test file in this pull request nor any test function or class in the file bit_manipulation/largest_power_of_2.py, please provide doctest for the function largest_power_of_2

"""
returns the largest power of 2 that is less than
or equal to the given number
The way this works is that we shift the binary form of the number
to the right until we reach the last set bit
Using the number of times we had to shift to find the last set bit
we find the 2**(no of times shifted) which will be the ans
>>> largest_power_of_2(0)
0
>>> largest_power_of_2(1)
1
>>> largest_power_of_2(3)
2
>>> largest_power_of_2(15)
8
>>> largest_power_of_2(99)
64
>>> largest_power_of_2(178)
128
>>> largest_power_of_2(999999)
524288
"""

if number == 0:
return 0
else:
last_set_bit = 0
while number:
last_set_bit += 1
number >>= 1
return 2 ** (last_set_bit - 1)


if __name__ == "__main__":
import doctest

doctest.testmod()