Math with binary numbers isn’t hard either.

二进制数的数学也不难。

There is no difference fundamentally -- it's all just binary numbers.

根本上没有区别——都只是二进制数。

What decimal number does binary number 110010 represent, from left to right?

什么十进制数是二进制数 110010代表，从左到右？

That's not a binary number, but if we regard 2s as the same as 0s, that does indicate the correct disk.

这不是个二元制数字，但如果我们把 2 当成 0，还是能指出中毒的硬碟。

And you need similar context to tell whether you’re looking at binary numbers or binary text.

您需要类似的上下文来判断您查看的是二进制数字还是二进制文本。

Analog signals vary continuously, as with the rays of light forming an image, while digital signals are non-continuous, as with binary numbers.

模拟信号是连续变化的，如形成图像的光线，而数字信号是非连续的，如二进制数。

Binary number notation works similarly, but with each position based on 2 raised to some power.

二进制数符号的工作原理类似，但每个位置都基于 2 的某次幂。

So maybe the key is to think of addition of binary numbers, with the sum of the lit disks communicating the corrupted disk number.

所以，也许关键就是二元码的加总，让亮灯硬碟编号的加总代表损坏硬碟的编号。

Those of you who are computer scientists or mathematicians or, for whatever reason, know binary numbers could convert it into a single binary number.

那些计算机科学家或数学家，或者出于某种原因知道二进制数的人可以将其转换为单个二进制数。

Using binary code — the base two numbering system that only uses 1s and 0s — we can represent each of the 4 disks with a 2-bit binary number

使用二元码，也就是只用 1 和 0 的二进位数字系统，我们可以用两位元的二元数字来分别代表这四个硬碟：从代表 0 的 00 到代表 3 的 11。

A bit is just some register in your computer that is either zero or one, and you can use a string of bits to make a binary number and represent anything that you'd like.

位只是计算机中的某个寄存器， 不是零就是一，您可以使用一串位来生成二进制数并表示您想要的任何内容。

Using binary code— the base two numbering system that only uses 1s and 0s— we can represent each of the 4 disks with a 2-bit binary number ranging from 00 for zero to 11 for three.

使用二进制代码——仅使用 1 和 0 的基本二进制编号系统——我们可以用 2 位二进制数表示 4 个磁盘中的每一个，范围从 00 表示零到 11 表示三。

And in the same way that ASCII defines a scheme for encoding letters as binary numbers, other file formats – like MP3s or GIFs – use binary numbers to encode sounds or colors of a pixel in our photos, movies, and music.

就像 ASCII 将字母编码为二进制数的方案一样，其他文件格式（如 MP3 或 GIF）使用二进制数对照片、电影和音乐中像素的声音或颜色进行编码。