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And so when we say something is exponential, we're talking about in terms of the number of bits required to represent it.
所以当我们说某些东西，是指数增长的我们指的,就是代表它的比特数。
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Pay attention to what I'm doing in using these textual bits and pieces and putting them together and making claims for them.
注意我要使用这些文本的片段,把它们联系起来，得出论点。
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and if the bits represent one here, 1 those exact same bits are going to represent one here.
如果这个二进制数字在这里表示，这些相同的二进制也将表示。
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I think I've heard bits and pieces of the answer everywhere, so I don't want to wait until we get it word-perfect.
我想我可以听到各种各样的答案,所以我不想等这大家想出完美的答案
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But a few bits of jargon are going to be helpful in allowing the conversation to move forward and this is certainly one.
不过稍微懂一点术语,会让交流更顺畅,这个定义当然算术语
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For this I need to invoke a couple of bits of science.
为此，我需要引入一些其它科学知道。
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if at any point you've got something you want to ask about or some two bits you want to add, raise your hand, wiggle it around, make sure I see you.
任何时刻如果你有想问的东西,或者你想要加上什么东西，请举手，摇晃起来，确保我能看见。
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to the n, every value in the 1 bit vector we looked at last time is either 0 or 1. So it's a binary n number of n bits, 2 to the n.
从2到n，我们上次看到的,位向量的每个值不是0就是,所以它是n，比特的二进制数,从2到。
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Starting to get useful because, in fact with eight bits can you implement things like this?
八个比特开始有用，这是因为使用八个比特你可以实现像这样的东西？
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This is convention, so on almost-- and most any computer you overuse, if you're writing code that uses a char, you're gonna be handed 8 bits or 1 byte to store that particular char.
这是约定，对于大多数-,电脑，当你写代码要用到一个char型数据时,必须先预留8比特或1字节,的空间来存储这个char型数据。
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And just to plant this seed with 32 bits, what's the biggest number you can represent?
而对于32比特，所能表示的最大的数是多少？
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This is useful especially when we get to details like forensics and looking at data on a hard drive, - 'cause if you don't know how much store-- how many bits are composing your file, you're never gonna recover that data or be able to access what you're looking for.
这是很有用的，尤其是在法庭上,查看硬盘驱动器里的数据时，如果你连-,文件有多少比特都不知道，你如何去恢复数据,获取你想要的信息呢。
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So what data type can we use to actually get more bits of precision than an int?
所以我们能用什么数据类型来表示,比int类型更多位数的数呢？
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And this is a little different from what happened ten or so years ago, but the so-called Y2K problem was essentially the result of programmers not really having the foresight to realize, "Maybe we shouldn't use so few bits or so few digits to represent a year because eventually this will be a problem."
这个跟10年前发生的事情有点不一样,那个所谓的“Y2K“问题,本质上的结果是,程序员没有真实地预见和认识到，“可能我们没必要用到这些位数或数字,来表示一年，但是最终这个将会,是个问题“
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