Trollathon #1.12 : 4 5-digit numbers and an answer?

Now, the hint 2 Computers is actually a hint to transform every number into base 2. (computers use binary numbers)

So, converting each of the numbers into binary, we get

$1000111111111111$

$1010100110011000$

$1111100111111111$

$0010111111111111$

Look at the numbers 4 digit at a time and concentrate on the 1s.

$1000$ $1111$ $1111$ $1111$

$1010$ $1001$ $1001$ $1000$

$1111$ $1001$ $1111$ $1111$

$0010$ $1111$ $1111$ $1111$

tracing them and we find that we get $\boxed{4096}$ !!!!!!!!!!