 This time I'll try doing some examples with a couple of arbitrary numbers. So, I might have, and I'd like to multiply this by, there's a couple of binary numbers. So, one thing I'm going to do here is I'm going to break up my number into blocks of four. You can see they're kind of done that way automatically, but I'd like to keep them broken up so I don't lose track of what things are in each column. Now I can apply the basic algorithm that we've been using. Any time where I see a zero, I'm just going to write down zero because zero times anything is zero. Any time I see a one down here, I'm going to copy down the top number. So one times this gives me, and since I've got a new block, I will add another line. And then I'll go on to the next bit. So one times this is this. I'll write down. Now I've got zero times something, so zero. And one times anything is the anything. And I've got another block. So I will put in another line to keep everything relatively lined up. Turn this bit. I'll come to this one. I'll write down a zero. And then I've got one times this again. So now I just need to add up all of these numbers. So this part is easy. That's 1,000. Now I've got some work to do. 1 plus 1 is zero. I'll carry a 1, 10, 10, 11, 10, 11, 100. So I'm going to write down a zero. And I can either carry a 10 to this position, or I can carry a 100. This time I will try carrying a 100. 1 plus 1 is zero. And I'll carry a 1 there. 1, 10, 11, 100, 101. So I'll write down a 1. And now I'm going to carry a 100. So I will put a 1 over in this position. And then I've got 1 plus 1 is 10. So I'll write down a zero, carry a 1. I've got 1, 10, 11. So 1, carry a 1. 1, 10, 11. 1, carry a 1. 1, 1. So that's the result I should get for multiplying these two numbers. If I try another pair of numbers, again I will add some lines to keep my numbers straight in the right columns. I've got a zero. So I'll just write down zero. 1, copy down the top. Zero, 1. And then I've got a zero, another zero, and a 1. And I'll need another block. And my last one. So, and last I'll just add these four numbers up. This one is again simple. Okay, zero, carry a 1. 11, so 1, carry a 1. 1, 10, 11, 100. Zero, carry a 100. Zero, zero, carry a 1. Zero, carry a 1. Zero, carry a 1. Zero, carry a 1. And zero, carry a 1. So for these two numbers this is what I get for my result.