verilog, 86 bytes

Result

WA

Code [DL]

module c;real d;initialwhile($fscanf(1<<31,"%b",d))$write($sqrt(d*8+1)%2==1);endmodule

stdin

00000100
10001110
00101101
00011111
00001111
00000000
11100111
00000011
01000010
10001011
00010101
10001000
01111000
10101011
01000000
00000110
11010101
01101001
11111101
00110111
00000111
00011110
01000100
10011101
00011100
10101101
00001010
11000101
00000110
00111010
10000011
11001010
11010010
01001110
00000011
01100101
10000000
10100100
10011001
01001001
10111011
00100100
10111110
11010100
01011011
00000001
11101111
00111111
11100101
10110000

stdout

stderr

/volume/CODE:1: syntax error
/volume/CODE:1: error: Invalid module instantiation
/home/esolang/bin/verilog: line 4: /tmp/code: No such file or directory
rm: cannot remove '/tmp/code': No such file or directory

strace