falcon, 389 bytes

Result [link]

AC

Code [DL]

// your code goes here
s = stdIn().grabLine()

i = 0
bin = arrayBuffer(100)
dec = arrayBuffer(33)
while i < 100
	if s[i] == "0"
		bin[i] = 0
	else
		bin[i] = 1
	end
	i++
end

i = 0
while i < 33
	rem = 0
	j = 0
	while j < 100
		rem *= 2
		rem += bin[j]
		bin[j] = int(rem / 10)
		rem %= 10
		j++
	end
	dec[i] = rem
	i++
end

i = 32
str = ""
while i >= 0
	str += dec[i]
	i--
end

printl(str)

stdin

1000000111101001100001010101000101100101110101111111000101000110010011100110011011101101000101100011

stdout

000643294008947053015977268531555

stderr

strace