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[FEATURE REQUEST] Adding the Lowest Set Bit Implementation #5566

@prayas7102

Description

@prayas7102

What would you like to Propose?

Overview
The goal of this proposal is to implement a LowestSetBit class that provides efficient methods for manipulating and analyzing the lowest set bit in a given integer. This class will be useful for various applications in competitive programming, algorithm design, and software development where bit manipulation is required.

Objectives
Isolation of the Lowest Set Bit: Create a method to isolate the lowest set bit of a number using bitwise operations.
Providing Information: Return the number after clearing lowest set bit.

Key Features
Efficiency: The operations will be performed using bitwise manipulation, ensuring O(1) time complexity for each operation.
Edge Case Handling: The class will handle edge cases such as zero and negative numbers appropriately.
User-Friendly API: Provide simple methods with clear documentation for ease of use.

This method will return a number after clearing the lowest set bit.

Issue details

Implementation Details

isolateLowestSetBit(int n): This method will return the value of the lowest set bit in the integer n.
Implementation: return n & -n; (using two's complement to isolate the lowest set bit).

Testing
To ensure the functionality and reliability of the LowestSetBit class, a comprehensive test suite will be created. The tests will cover:

  • Regular positive integers.
  • Edge cases like zero and one.
  • Powers of two.
  • Numbers with all bits set.
  • Negative integers.

Additional Information

Required PR for this issue #5567

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