csharp, 137 bytes

Result

WA

Code [DL]

using System;class E{static void Main(){for(int i=50;--i;)Console.Write(Math.Sqrt(8*Convert.ToInt32(Console.ReadLine(),2)+1)%2==1?1:0);}}

stdin

10101011
10001001
11000101
11100111
01000110
00001110
00001010
00010101
10111110
11111101
01111000
00000101
00000000
11001101
00101101
00100100
01010110
00010101
01101110
10011001
00011100
00110111
11000011
11110101
11010010
01101101
00011011
11010111
01011011
11001111
10001000
01001110
00001011
00000011
01111111
01000010
00000110
00010001
11101000
00000111
00000010
01010000
01000000
00101001
00000001
00001111
11101111
01101001
00011010
11111101

stdout

Compilation failed: 1 error(s), 0 warnings

stderr

/tmp/code.cs(1,54): error CS0029: Cannot implicitly convert type `int' to `bool'
Cannot open assembly '/tmp/code.exe': No such file or directory.
rm: cannot remove '/tmp/code.exe': No such file or directory

strace