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How to find the Nth set bit in a 32‑bit integer with C#

1 Answer

0 votes
using System;
using System.Numerics;   // Provides BitOperations.TrailingZeroCount

class Program
{
    /*
        FindNthSetBit32:
        ----------------
        Given:
            - x : a 32-bit unsigned integer
            - n : which set bit to find (1-based index)

        Returns:
            A 32-bit mask with ONLY the Nth set bit of x turned on.
            If n is larger than the number of set bits, returns 0.

        Algorithm:
            - Use BitOperations.TrailingZeroCount(x) to locate the lowest set bit.
            - Remove that bit using x &= (x - 1).
            - When we reach the Nth one, return 1u << index.

        Notes:
            - TrailingZeroCount(x) is extremely efficient and maps to a single CPU instruction.
            - C# treats uint as a true 32-bit unsigned integer, ideal for bit manipulation.
    */
    static uint FindNthSetBit32(uint x, uint n)
    {
        while (x != 0)
        {
            // Index (0–31) of the lowest set bit
            int index = BitOperations.TrailingZeroCount(x);

            // If this is the Nth set bit, return mask
            if (--n == 0)
                return 1u << index;

            // Remove the lowest set bit
            x &= (x - 1);
        }

        // Fewer than n set bits
        return 0;
    }

    // Convert a 32-bit integer to a padded binary string
    static string ToBinary32(uint x)
    {
        string s = Convert.ToString(x, 2);

        return new string('0', 32 - s.Length) + s;
    }

    static void Main()
    {
        uint value = 0b00001101001101101100100010100000u;
        uint n = 4;

        uint result = FindNthSetBit32(value, n);

        Console.WriteLine("Input value:  " + ToBinary32(value));
        Console.WriteLine("N = " + n);
        Console.WriteLine("Result mask:  " + ToBinary32(result));
    }
}


/*
run:

Input value:  00001101001101101100100010100000
N = 4
Result mask:  00000000000000000100000000000000

*/

 



answered Jul 24 by avibootz
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