using System;

using System.Linq;

using System.Collections.Generic;

​

public static class Extensions

{

    public static uint Sum(this IEnumerable<uint> source)

    {

        uint sum = 0;

        checked

        {

            return source.Aggregate(sum, (current, v) => current + v);

        }

    }

}

​

public class Program

{

    public static IEnumerable<T[]> GetCombinations<T>(T[] source)

    {

        for (var i = 0; i < (1 << source.Length); i++)

            yield return source.Where((t, j) => (i & (1 << j)) != 0).ToArray();

    }

​

    public static IEnumerable<uint[]> GetItems(IEnumerable<uint> source, uint target) => GetCombinations(source.ToArray()).Where(items => items.Sum() == target);

    static void Main(string[] args)

    {

        uint[] values = {1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, };

        foreach (var found in GetItems(values, 96))

            Console.WriteLine(string.Join(", ", found));

    }

}