js-rhino, 264 bytes

Result

AC

Code [DL]

importPackage(java.io);importPackage(java.lang);s=new BufferedReader(new InputStreamReader(System.in));for(i=0;i<50;i++){l=s.readLine();print(+![0,1,3,6,10,15,21,28,36,45,55,66,78,91,105,120,136,153,171,190,210,231,253].every(function(i){return i-parseInt(l,2)}))}

stdin

00000001
01101001
11111110
01111000
10101010
00010001
10001001
00000000
00000100
01001100
00001111
00011101
10111110
01110110
01011011
10011001
11100111
11100101
00000110
11000111
01111110
11001111
01001110
11010000
10000110
01010001
00110111
10101011
10010010
00101101
01110111
01110100
01001110
10001000
00110110
00011100
10010001
10110000
00100100
01100100
11010101
11010010
10100111
01000010
01101000
00000001
00000011
00010101
11111101
00001010

stdout

1
1
0
1
0
0
0
1
0
0
1
0
1
0
1
1
1
0
1
0
0
0
1
0
0
0
1
1
0
1
0
0
1
1
0
1
0
0
1
0
0
1
0
1
0
1
1
1
1
1

stderr

strace