using System;

using System.Linq;                  

public class Program

{

    public static void Main()

    {

        var possibilities = new[]

        {

            new[] {1, 1, 0, 1, 1, 0, 0, 0},

            new[] {1, 1, 0, 1, 1, 0, 0, 1},

            new[] {0, 1, 1, 0, 1, 1, 0, 1}

        };

        int size = possibilities[0].Length;

        int i = 0;

        var a = possibilities.SelectMany(x => x).GroupBy(x => i++ % size)

              .Select(x => x.Any(z => z == 0) ? 0 : 1);

        Console.WriteLine("["+string.Join(", ", a)+"]");

​

        int j = 0, Size = possibilities[0].Length;

        int[] result = new int[size];

        for (int I = 0; I < size; I++)

        { 

            for (j = 0; j < possibilities.Length; j++)

                if (possibilities[j][I] == 0) { result[I] = 0; break; }

            if (j == possibilities.Length) result [I] = 1;

        }

        Console.WriteLine("["+string.Join(", ", result)+"]");

        // XNOR:

             i = 0;

             var a2 = possibilities.SelectMany(x => x).GroupBy(x => i++ % size)

            .Select(x => x.All(z => z == 0) || x.All(z => z == 1) ? 1 : 0);

            Console.WriteLine("["+string.Join(", ", a2)+"]");

        //XNOR LOOPS

     int size3 = possibilities[0].Length;

int[] result3 = new int[size];

for (int i3 = 0; i3 < size; i3++)

{ 

     int q = possibilities[0][i3];

     for (j = 1; j < possibilities.Length; j++)

         if (possibilities[j][i3] != q) { result[i3] = 0; break; }

     if (j == possibilities.Length) result3 [i3] = 1;

}

Console.WriteLine("["+string.Join(", ", result3)+"]");      

    }

}