 This time I'm going to try some of the larger numbers to work with. We'll start with what looks like 50 in decimal or in binary. So here I have two, no fours, no a's, I have a 16 and a 32 plus 16 plus 32. So 32 plus 16 is 48 plus 2 is 50. Try to do this with 62 in octal. Well, 2 in octal is 2 in decimal. The 6 in octal becomes 6 times 8, which is 48 plus 2 is 50 in decimal. Going the other way, I have 32 in hexadecimal. 2 in hexadecimal is also 2 in decimal. 3 though is 3 times 16. 3 times 16 is 48. 48 plus 2 is 50 again. And I can try this for something really, really large. I can use that 100,000 at the bottom. So here I've got 1. So this time I'm going to have some really big decimal numbers to work with. No 1's, no 2's, no 4's, no 8's, no 16's. So I'll start with a 32. No 64's, I have a 128. No 256's, there's a 512, 1024, 2048, 4096, 8192, 16384. Now I have what would normally be 32K and 64K. If you haven't memorized all of these exactly, then you'll probably end up doing some multiplication. So here I had 16384. I multiply this by 2, 8, 16. So I have, this is a 32768. And then I need this 64K term, which is actually 65,000. So now I'm going to add up all of these numbers. And I should come out with 100,000. So 2 plus 8 is 10, 12, 16, 24, 30. So we're off to a good start. 3, 6, 12, 14, 15, 17, 20. 7, 14, 19, 20. 7, 7, 9, 10, 1, 7, 10. So my result there is 100,000. And I can do this for the other two methods as well. They're just going to be bigger numbers because I've got, OK. So for the octal, I have 303, 240. So I have 0 plus 4 times 8 plus 2 times 8 squared. 2 times 8 squared is 64. Now I'm starting to get bigger numbers. Now I have 3 times 8 cubed, 0 times 8 to the fourth, but 3 times 8 to the fifth. So the first thing I'm going to need to do is figure out what is the 8 cubed and the 8 to the fifth. So 8 cubed is just 64 times 8, 8 times 4 is 32, 8 times 6. 6 times 8 is 48, plus 3 gives me 51. So I have 3 times 5, 12, and then I have 8 to the fifth, which means I'll multiply this by 64. 2 times 4 is 8, 4, 6, I say 6, all right. 4 times 5 is 20, 6 times 2 is 12, 6 times 1, plus 1 is 7, 6 times 5 is 30, 8, 7, 2, 3, 7, 7, 6, 8. Let's go back and start this over again. Because I obviously botched something in there. So 4 times, I have to erase that part too. So 4 times 2 is 8, 4 times 1 is 4, 4 times 5 is 20, 6 times 2 is 12, 6 times 1 is 6, plus 1 is 7, 6 times 5 is 30. So I have 8, 6, 7, 2, 3. So I got the 32, 768 that I saw before. I have 3 times 2, 768. So now I have all of my terms in simple numbers. I need to do some multiplication and some addition. 4 times 8 is 32, 2 times 64 is 128, 3 times 5, 12, 15, 36, 36. Then I've got the 3 times 32, 768. So if I write that over here, 3 times 8 is 24, 3 times 6 is 18, plus 2 gives me 20, 3 times 7 is 21, 2 is 23, 3 times 2 is 6, plus 2 is 8, and 3 times 3 is 9. So now I have 98, 304, adding 15, 36, 128. And 32 together. So 2 plus 8 gives me 10, plus 6 plus 4 gives me 20, 2, 5, 7, 10, 1, 4, 9, 10, 1, 9, 10, and 1 plus 9 is also 10. So there I get 100,000 again. I'm getting the same result out, even though I'm starting from a different base. And I'm just going to do extra smokes, I've already written all over this thing.