And depending on what dimension we're in, it just means a vector with all zeroes.

I'm just arbitrarily stopping the zeroes.

Do I have the right number of zeros?

And remember, that's only for trailing zeros.

So as soon it has been to the sea, it changes the pattern of zeroes and ones here.

These are your ones, but you've got a few zeros thrown in.

Is them the right amount of zeros?

But for your purposes, these trailing zeros mean nothing.

Oh, finishing up with triple zero steel wool.

You can just see there's a nine and a string of zeros here.

And we can even add some 0's there, just to make it clear.

And they're all orthogonal, so you're just going to get a bunch of 0's.

Lined up the decimal points, include the zeros on top.

Alice will answer by sending a sequence of zeros or ones using some method of variation.

So how do computers store zero's and one's internally?

And so we have this question to figure out

And look at all the complex things and wonderful things we've been able to create with just a one and a zero.

Now I add the zeros, just because this zero and this five need to be subtracted from something.

If you wrote all the zeroes in that number in tiny 1 point font, it would stretch beyond the observable universe.

And you could do the same, you could pick columns that have a lot of zeros.

So as soon it has been to the sea, it changes the pattern of zeroes and ones here, and it knows always where it is on the beach. So it's very simple brain.

Let's say we do eight hundred and twenty three and then let's throw some an arbitrary number of zero's there.

And if you run out of space, you just have to add or get rid of zeros accordingly.

And then you're going to have a 1.

I'm ignoring the zero because it's in the same column as the 1, 2, 0 0, 2, 3, and then 2, 0, 0.

So it's going to be one squared. It's going to be 1.

Although that's a bit of a tough argument to make coming to you as I am, in a series of ones a zeros.

It's 1,000 times 1,001 over 2, which is equal to well, we'll just add three zeroes to this

What I would recommend, if you have any trailing zeros with a decimal like this, you should actually just ignore those zeros, and then do the problem just the way I did it.

1 throw some zeroes in there to make the computation a little bit simpler, 0, 1, 2, 3, and then 2, 3, 0, 0.

And the reason why that's useful is because we can pick rows or columns that have a unusually large number of zeros.

Prefix

So, when you're listening to iTunes and your favorite music, that's really just a bunch of ones and zeros playing very quickly.

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