Turning switch 11 on gives us 110 by standard binary addition.

根据标准二元进位法，打开 11，我们会得到 110。

Although recording methods have changed, the decimal system has triumphed throughout.

虽然记录方法发生了变化，但十进位制在整个过程中都占着主导地位。

Or in a given row, treat each number as part of a decimal expansion.

或是将其中一列作十进位展开。

Each bit can be either a zero or a one in the binary language of computing.

在计算机的二进位语言中，每个比特代表0或1。

Right, the Dewey decimal classification system which was invented by Melville Dewey, an American librarian, not John Dewey, the philosopher.

杜威十进位分类法是由梅尔维尔·杜威发明的，他是一位美图书管理员，而不是哲学家约翰·杜威。

But, we need an extra output wire for that carry bit.

但是，我们需要额外的一根输出线来表示那个进位位。

So we have 2.0, and then in the next digit you go up here.

所以我们有2.0，然后在下一位数字上向上进位。

So 17 carries between the last two years.

因此过去两年内共有 17 次进位。

I think that's what's nice is this was not dependent on 20 carries.

我认为这很好，因为这不依赖于 20 个进位。

Obviously, 27 carries is a very outrageous number.

显然，27次进位是一个非常离谱的数字。

Um, but looking at like five zone carries, no, that's, that's the money.

嗯，但是看看五个区域的进位，不，就是这样，这就是钱。

Well, they don't do carrying over like we used to do.

现在算进位的方法已经跟我们当年不一样了。

There's some added steps with carries and the like but the core step is a convolution.

有一些额外的进位步骤之类的，但核心步骤是卷积。

And this is going to be- Five zone carries.

这将是——五区进位。

And when any place fills up with ten, we just roll it over to the next highest place.

当任何一个位置填满十，我们就将其进位到下一个更高的位置。

You have two inputs, A and B, and you have a sum output and a carry output.

您有两个输入 A 和 B，并且有一个总和输出和一个进位输出。

That is- Eight five zone carries.

那就是——八个五区进位。

An additional downside is that it takes a little bit of time for each of the carries to ripple forward.

另一个缺点是每个进位向前传播都需要一点时间。

Lastly, we need a OR gate to check if either one of the carry bits was true.

最后，我们需要一个或门来检查是否有一个进位位为真。

Now we add 8 plus 1 plus the 1 we carried, that's 10, so the sum is 0 carry 1.

现在我们加上 8 加 1 再加上我们进位的 1，就是 10，所以和是 0 进位 1。