verilog, 82 bytes

Result

WA

Code [DL]

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

stdin

10101111
00011000
01001110
01001100
11011010
00001111
10111110
00001010
10010101
10011110
00010101
00000000
11010001
01000010
00101101
00101101
11010010
01110110
00100100
11111010
00000011
10110101
11001110
00010001
01011011
10101011
00110111
00001000
10111001
11100111
10101101
10110000
00011111
11001100
00000100
00110001
10011001
01110001
00000110
01100001
00000001
01101001
00011100
11101010
11101101
10011001
01011111
10001000
11111101
01111000

stdout

stderr

/volume/CODE:1: syntax error
/volume/CODE:1: error: malformed statement
/volume/CODE:1: error: Error in while loop condition.
/home/esolang/bin/verilog: line 4: /tmp/code: No such file or directory
rm: cannot remove '/tmp/code': No such file or directory

strace