verilog, 82 bytes

Result

WA

Code [DL]

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

stdin

00000001
00010010
01000010
10010000
10010100
00010101
10101011
10110100
00010101
00111001
00000011
01111001
10111110
00101101
10001001
01100011
01101001
00001111
11100111
11100111
01001010
10011001
11100110
11111101
01010111
10001000
01111011
00110111
00100100
01011011
10000001
01010010
00001010
00000110
00000010
11011000
11011010
01111000
11010010
00010001
11001010
10111001
00011100
00101010
01101110
11110010
10100110
11010110
01001110
00000000

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