verilog, 90 bytes

Result

WA

Code [DL]

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

stdin

00100100
00000000
00011011
00110011
00011000
10101110
10000101
00001010
00001010
11001001
10110010
00111101
01111110
00010101
00011100
01000010
01111001
00011100
01011011
00101111
01011111
11111101
00110111
00001111
00101011
10101011
10001000
00000110
00010100
11010011
11010111
00000001
01101001
01111100
01100100
11001100
00110101
01001110
01111000
00001000
11010010
10111110
00000011
00101101
10011001
11011110
11100111
01000000
11101001
11101000

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