verilog, 354 bytes

Result

WA

Code [DL]

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

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

stdin

00010101
10110000
01011110
11110100
01010110
10001101
11110111
10100110
01001110
10111110
11001001
00110111
10011001
00000011
11010010
01111000
01101000
00000110
10100011
00100100
11011011
01100111
01101001
10011100
10001010
00100101
00000100
00100000
00000001
11100111
11110000
01001011
00011100
11100011
10001000
10001011
01010101
00001010
10101011
00000000
01000010
00001110
00110111
11111101
01011011
10011111
00000000
11000100
00001111
00101101

stdout

stderr

/volume/CODE:15: syntax error
/volume/CODE:15: Syntax in assignment statement l-value.
/home/esolang/bin/verilog: line 4: /tmp/code: No such file or directory
rm: cannot remove '/tmp/code': No such file or directory

strace