Binary ~ Subtraction

In subtraction, there are similar rules to subtracting as there are in addition. So, to start out, I will list the rules to subtraction.

Example:
1110
-101
  1001

To begin with this problem, we start in the right most place holder, just like we would in base 10. So, we would initially start with the subtraction problem of 0-1. After looking at the chart, we can tell that 0-1 requires us to borrow from another place holder. Just like in base 10, we do so from the nearest placeholder containing a value to the left. In this case, that would be the 1 right to the left of the 0. So, if we borrow 1 from that place, it is now like saying we have 10 - 1(which you can see in the problem, using both columns it looks like 10 - 01) and that will come out as 1, because the table says 10-1 is 1. Now, moving to the next place, we see the problem 0-0. Even though this is not in the chart, it is easy to see that the answer is 0. And once more, moving to the left, we see 1 - 1. According to the chart, that means we put down a 0. And finally, we see 1 - 0, which comes out as 1 according to the chart. In the end, our answer is 1001. In decimal, the problem is 14-5, and the answer we got is 9, so that means we did the problem correctly, and we have explored each of the rules defined in the nifty little chart(with one extra).