php, 74 bytes

Result

WA

Code [DL]

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

stdin

10111110
11010001
00100100
11100011
00000110
00000000
00111010
01000001
10001100
01000011
00110111
01011011
10100010
11101001
11100111
01001110
00101101
01101000
01010110
11100111
00000011
10111111
01000010
10101011
00101000
00110111
01000110
01110100
01111000
00011100
00111011
01111100
11001101
01011100
11010010
10100011
10001000
10110010
11111101
00001010
00000001
00001111
11100100
10011111
01101001
10010101
00010101
01011111
00101100
10011001

stdout

stderr

PHP Parse error:  syntax error, unexpected ',' in /volume/CODE on line 1

strace