php, 74 bytes

Result

WA

Code [DL]

<?php for(;$c=fgets(STDIN);)$j=sqrt(8*bindec($c)+1&&echo 1^$j<=>floor($j);

stdin

11011011
00010101
10011110
00010000
01100110
00000100
10110000
01001110
00011100
01001011
00000000
11100111
00111100
01011011
11111101
00001011
11110110
00000110
11011101
10101011
01001110
10011001
01001111
10001111
01101001
01000101
00110111
10001000
00000001
10100011
00001010
10010001
00100100
00000011
11101001
11010010
10111110
01100010
11101000
01111100
00001111
11001110
01111000
10001110
00101101
01100001
00000000
01000010
11011001
10111001

stdout

stderr

PHP Parse error:  syntax error, unexpected 'echo' (T_ECHO) in /volume/CODE on line 1

strace