Write one line C function to find whether a no is power of two | GeeksforGeeks


Write one line C function to find whether a no is power of two | GeeksforGeeks
Write one line C function to find whether a no is power of two 1. 



If we subtract a power of 2 numbers by 1 then all unset bits after the only set bit become set; and the set bit become unset.

So, if a number n is a power of 2 then bitwise & of n and n-1 will be zero.
The expression n&(n-1) will not work when n is 0. To handle this case also, our expression will become n& (!n&(n-1)) 
bool isPowerOfTwo (int x)
{
  return x && (!(x&(x-1)));
}

1. A simple method for this is to simply take the log of the number on base 2 and if you get an integer then number is power of 2.

2. Another solution is to keep dividing the number by two, i.e, do n = n/2 iteratively. In any iteration, if n%2 becomes non-zero and n is not 1 then n is not a power of 2. If n becomes 1 then it is a power of 2
bool isPowerOfTwo(int n)
{
  if (n == 0)
    return 0;
  while (n != 1)
  {
    if (n%2 != 0)
      return 0;
    n = n/2;
  }
  return 1;
}

3. All power of two numbers have only one bit set. So count the no. of set bits and if you get 1 then number is a power of 2.  http://www.geeksforgeeks.org/count-set-bits-in-an-integer/

int countSetBits(int n)
{
    unsigned int count = 0;
    while (n)
    {
      n &= (n-1) ;
      count++;
    }
    return count;
}
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