php, 66 bytes

Result

WA

Code [DL]

<?php for(;$c=fgets(STDIN);){echo fmod(sqrt(8*bindec($c)+1),1)^1;}

stdin

10100111
11101111
10010010
01111000
10010011
10111010
10110110
10101011
01010001
00110111
01101001
10001100
00010010
00100100
00110100
01000010
11010101
10011011
00101010
10011001
11111101
00101101
00001111
00001010
00001101
01011011
01001010
10001000
01000010
11100001
10101011
01001110
11101000
00000101
10110010
00000001
00011100
10111110
11010010
00000110
00010101
11100011
00100011
10100010
10010111
00000011
11100111
00000000
11010001
01110010

stdout

11111111111111111111111111111111111111111111111111

stderr

strace