# Re: The seven step series

```Hi Brent,
I really appreciate the help and I hate to impose on your
patience but...(see below)```
```
----- Original Message -----
From: "Brent Meeker" <meeke...@dslextreme.com>
Sent: Tuesday, July 21, 2009 5:24 PM
Subject: Re: The seven step series

>
> Take all strings of length 2
> 00             01                   10               11
> Make two copies of each
> 00      00      01      01      10      10      11      11

> Add a 0 to the first and a 1 to the second
> 000    001      010   011      100   101   110      111
> and you have all strings of length 3.

I can see where adding 0 to the first and 1 to the second gives 000 and 001 and
I think I see how you get 010 but the rest of the permutations don't seem
obvious to me. P-l-e-a-s-e  explain,  Best,

m.
(mathematically hopeless)  a.

>
> Brent
>
> m.a. wrote:
>> *Thanks Brent,*
>> *                       Could you supply some illustrative examples?    *
>> *
>>                                 marty a.*
>> **
>>
>> ----- Original Message -----
>> From: "Brent Meeker" <meeke...@dslextreme.com
>> <mailto:meeke...@dslextreme.com>>
>> Sent: Tuesday, July 21, 2009 3:57 PM
>> Subject: Re: The seven step series
>>
>> >
>> > Each binary string of length n has two possible continuations of
>> length
>> > n+1, one of them by appending a 0 and one of them by appending a 1.  So
>> > to get all binary strings of length n+1 take each string of length n,
>> > make two copies, to one copy append a 0 and to the other copy append
>> a 1.
>> >
>> > Brent
>> >
>> > m.a. wrote:
>> >> Hi Bruno,
>> >>                    I'm not clear on the sentence in bold below,
>> >> especially the word "correspondingly". The example of Mister X only
>> >> confuses me more. Could you please give some simple examples? Thanks,
>> >>
>> >>
>> >>
>> >>
>> >>         marty a.
>> >>
>> >>
>> >>
>> >>  >>
>> >>     >
>> >
>> >
>> >
>> >
>
>
> >
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