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[FEATURE REQUEST] Add New Bit Manipulation Algorithms #5628

@sanvviratthore

Description

@sanvviratthore

What would you like to Propose?

I would like to contribute additional bit manipulation algorithms to the repository. Below are some algorithms I plan to implement:

  1. Find the Number Appearing Odd Times
  2. Swap Adjacent Bits of a Number
  3. Bitwise XOR of All Elements in an Array

Issue details

Algorithm 1:
Find the Number Appearing Odd Times
In an array where all numbers appear even times except one, we find the number that appears an odd number of times using bit manipulation (XOR).

Algorithm 2:
Swap Adjacent Bits of a Number
Swap every pair of adjacent bits of a given number.

Algorithm 3:
Bitwise XOR of All Elements in an Array
Compute the XOR of all elements in an array.

Additional Information

I will ensure the implementation follows the existing coding standards and will include unit tests for each algorithm.

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