js-rhino, 102 bytes

Result

WA

Code [DL]

for(a=new java.util.Scanner(java.lang.System.in);print(0==Math.sqrt(parseInt(a.nextLine(),2)*8+1)%1);)

stdin

11001011
10100101
01011111
00001111
01011011
10101001
01001101
00000010
11111101
00001010
10001110
10111111
11111101
11010101
00000110
10111110
00011100
00100100
10101101
01001100
11010111
00010101
01001110
00001101
00000011
00000000
10110110
01000010
11010010
00011110
00110111
00101101
10101010
00001010
00000001
01100101
10101011
11001100
11111000
10100100
01101001
01101101
01111000
10010011
10001000
10100110
01111011
10011001
11100111
10010111

stdout

stderr

js: "/volume/CODE", line 1: Unexpected end of file
js: for(a=new java.util.Scanner(java.lang.System.in);print(0==Math.sqrt(parseInt(a.nextLine(),2)*8+1)%1);)
js: .....................................................................................................^
js: "/volume/CODE", line 1: Compilation produced 1 syntax errors.

strace