verilog, 84 bytes

Result

WA

Code [DL]

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

stdin

11100111
00101101
00110111
11100011
01111000
10011000
00101100
11110010
01011011
00000000
11010010
00010101
10001000
01100000
10101011
00000001
11011001
10001010
00100100
00010001
00000110
01000101
10000001
00011001
11001101
11111001
10010010
11111101
10111110
10011110
11000001
10011001
10110100
00001111
01111100
00000011
11001001
01001110
10011001
01000010
00010010
11111011
00011100
10011100
00001010
00001111
00110000
01011010
10001110
01101001

stdout

stderr

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

strace