Re: Is 1111 1110 10 equal to 0xfe80 or 0x3fa?

"Bless, Roland (TM)" <roland.bless@kit.edu> Fri, 07 June 2019 06:58 UTC

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Subject: Re: Is 1111 1110 10 equal to 0xfe80 or 0x3fa?
To: Alexandre Petrescu <alexandre.petrescu@gmail.com>, Fred Baker <fredbaker.ietf@gmail.com>
Cc: IPv6 <ipv6@ietf.org>
References: <a71b00b7-0e0c-242a-b3f7-147f4c6b2eb0@gmail.com> <63DC2EEC-C456-4090-9242-6675F47B6351@gmail.com> <b71b9dfb-cd1e-b5cf-f0bf-885d479f6d29@gmail.com>
From: "Bless, Roland (TM)" <roland.bless@kit.edu>
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Organization: Institute of Telematics, Karlsruhe Institute of Technology
Message-ID: <a30173da-3800-7ed6-88af-3400b6dc9c39@kit.edu>
Date: Fri, 07 Jun 2019 08:58:33 +0200
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Hi Alex,

Am 07.06.19 um 07:50 schrieb Alexandre Petrescu:
> Le 06/06/2019 à 23:41, Fred Baker a écrit :
>>
>>
>>> On Jun 6, 2019, at 10:18 AM, Alexandre Petrescu
>>> <alexandre.petrescu@gmail.com> wrote:
>>>
>>> I maintain that 1111 1110 10 equals 0x3fa, because that's what my
>>> Windows Calculator says: I type 1111 1110 10 and it converts to
>>> 0x3fa.
>>
>> You're correct if those are the only bits. However, in 1111 1110 10
>> you have to also include 00 0000, because it's a /10 prefix.
> 
> ?
> 
> 1111 1110 10 are 10 bits and they are the only bits.

Gee, it's only binary arithmetic. We use a nibble-wise textual
representation with hex digits, so you have to fill it up to
a multiple of 4 bits, i.e., adding two bits to the right gives you
12 bits, which nicely converts to 0xfe8. If you want 0xfe80 you
need to add 00 0000 as Fred pointed out.

> I would indeed add the 00 0000 if they were 16bits, and then I would
> write fe80::/16.
> 
> But, since a few people say differently, I think I will need to look at
> it deeper.  MAybe it is just a matter of language expression.

Sorry, but fe80:: doesn't imply fe80::/16, that's exactly the reason
why we have the prefix notation. fe80::/10 means to expand to 128 bit
and then use the leftmost 10 bits only. That's unambiguous.

Regards
 Roland