verilog, 491 bytes

Result

WA

Code [DL]

`define EOF 32'hFFFF_FFFF
`define STDIN 32'h8000_0000

module cat;
	integer c,i,d;
	initial begin
		c = $fgetc(`STDIN);
		i = 1;
		d = 0;
		while (c != `EOF) begin
			while ( c != 10)begin
				d = d + (c - 48) * i;
				i =  i * 2;
				c = $fgetc(`STDIN);
			end
			i = 1;
			while(d > 0)begin 
				d = d - i;
				i = i + 1;
			end
			if ( d == 0)beign
				$write("%d", d);
		    end else begin
		    	$write("%d", d);
		    end
			c = $fgetc(`STDIN);
			d = 0;
			i = 1;
		end
	end
endmodule

stdin

00111101
01001100
00000011
01100001
11001010
01100011
00000110
00100100
11010010
00110000
10111110
01011011
11111100
01011100
10001000
00011100
00000000
10001100
01101001
10101011
00011101
01000010
11111000
11111101
00111011
00000001
00111001
11110101
01111001
01001110
10100111
11101011
00010101
00110111
10111110
11010101
11100111
00001010
10101100
00010001
01111000
01100111
00101101
00100011
01101010
10011001
10011001
01010110
10110001
00001111

stdout

stderr

/volume/CODE:22: syntax error
/volume/CODE:22: error: malformed statement
/volume/CODE:23: syntax error
/volume/CODE:24: error: malformed statement
/volume/CODE:26: syntax error
/volume/CODE:26: error: Invalid module instantiation
/volume/CODE:27: error: Invalid module instantiation
/volume/CODE:28: error: Invalid module instantiation
I give up.
/home/esolang/bin/verilog: line 4: /tmp/code: No such file or directory
rm: cannot remove '/tmp/code': No such file or directory

strace