php, 65 bytes

Result

WA

Code [DL]

<?php for(;$c=fgets(STDIN);){$echo 1^(sqrt(8*bindec($c)+1)%1>0);}

stdin

01111000
00000001
01010100
01001110
00001010
00100101
11100010
00001001
00001101
00011011
10101001
01000010
11100100
00001111
00110111
10101011
00100110
10111110
00000011
11010010
11001001
00011000
00110111
10011001
01111111
01011100
00111110
10110111
00100100
00000110
01011110
00010101
00110110
01011011
11001110
11110100
01101001
00101101
10010111
10001000
11011100
10001101
10000011
00000000
10011001
11111101
11100111
11001100
10101100
00011100

stdout

stderr

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

strace