find parity Algorithm

The find parity algorithm is a fundamental computational method used to determine the parity of a given number, which can be either odd or even. Parity is an important property of integers, as it helps in understanding the divisibility and structure of numbers. This algorithm usually works by examining the value of the least significant bit (LSB) of a binary representation of a number. If the LSB is 1, the number is considered odd (has odd parity), and if it is 0, the number is considered even (has even parity). The find parity algorithm is widely used in computer systems and digital electronics for error detection and data validation, as well as in mathematical problem-solving and programming tasks. There are various implementations of the find parity algorithm, including bitwise operations, lookup tables, and arithmetic methods. One of the most common and efficient techniques is to use bitwise AND operation between the given number and the value 1. If the result is 1, the number has odd parity, and if it is 0, the number has even parity. This method is fast and requires minimal computational resources, making it suitable for low-level hardware and software systems. Another approach is to count the number of 1s in the binary representation of the number and check if the count is even or odd. However, this method can be slower and more resource-intensive, especially for large numbers. Overall, the find parity algorithm is a crucial tool in computer science, mathematics, and digital electronics, with diverse applications and implementation strategies.
/**
 * Problem : Determine parity of a number.
 * Parity refers to whether number contains odd or even number of set bits
 * Approach: We loop till number becomes zero and invert parity while unsetting
 * right most set bit.
 */

#include <iostream>

bool getparity( int num )
{
  bool parity = false;
  while( num ) {
    parity = !parity;
    num = (num & (num - 1));
  }
  return parity;
}

int main()
{
  int num;
  std::cout << "Enter number:";
  std::cin >> num;
  std::cout << "Parity of num is "
            << (getparity(num) ?  "odd" : "even")
            << std::endl;
  return 0;
}

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