 So in this video we're going to look at the addition method for base conversion. This method allows you to do your arithmetic in the destination base. So it's nice when converting from say binary to decimal or base five to decimal. Anything where your destination base is something that you know how to do arithmetic in. So chances are that's usually going to be in decimal. But by the end you should be able to also do that in binary. And the way this works is pretty straightforward. We're just going to convert our source digits to exponents in the destination base and then add all those results up. So if I start with a binary number and I'd like to know what this number is in decimal. So in this case I know that this is one, four, sixteen, sixty-four. So I could just add all those up. If you're not quite so familiar with the exponents of base two, you're probably going to want to write some of this out and then do the addition. So I know that this is one times two to the zero or just playing one. This would be two to the first or two, this is two squared which is four. So I have one times two squared, two to the third, two to the fourth, and then two to the sixth. So in this case all I have are coefficients of one. So it's binary, all I'm going to have are ones and zeros anyway. This makes this really nice because now all I really care about are these exponents here. So two to the zero is one, two squared is four, two to the fourth is sixteen, and then two to the sixth is sixty-four. So I can just add all these up. Sixty-four plus sixteen will give me eighty, eighty-four, eighty-five. So that's the basic idea of how the addition method works. We're just converting these, finding their exponents, and adding all of that up. It works reasonably well for bases where you know the exponents. Things like binary you'll probably get used to working with. So it can be relatively easy to convert small numbers. If you start having larger numbers, if you start having larger numbers and you may not want to use this method, if you have a base that you don't know the exponents for or that has rather large exponents, you also might not want to use this method. Another example we could try. There's another binary number. And to convert this to decimal, I'm going to find all of these exponents that I'm interested in and just add them up. So I have two to the zero, two to the first, two squared, two cubed, two to the fourth, two to the fifth, and two to the sixth. So this is one, two, eight, thirty-two, and sixty-four again. Gives me ninety-six, one of four, one of six, one of seven. So again it's the same idea. We can do this with pretty much any base. This method just really lends itself towards binary because you'll end up being used to the exponents of binary.