User talk:Michael Chuquet/Hexadecimal billion

This discussion of the significance of the term "one billion hexadecimal" had been established at the origin between the user IP 81.57.112.41 (later called user:Michael Chuquet, that's me) and Ian, user:Icairns on the user talk page of "Binary prefix". The contents of this talk (17 Aug – 3 Sep 2004) were transferred on a "archieved" page called Closed talk: section Hexadecimal Billion in Talk:Binary prefix Talk:Binary prefix/Hexadecimal Billion.

 
I summary my point of view :

The hexadecimal billion equalizes sixteen power ten according to Michael Florencetime (page on fr.wikipedia.org).

Myself, Michael Chuquet, I approve this definition of the "hexadecimal billion", since it is (1024 x 1024) x (1024 x 1024).

The hexadecimal numbers should be grouped modernly (surprisingly, however correct-proves) by five digits.
For example: The internal 64 bits bus, that's 2 power 64  or  F FFFFF FFFFF FFFFF units and the zero. "Sixteen trillion" hexadecimal units.
Thus sixteen power six (equal 16 777 216, also equal 4096 power two) is "sixteen million hexadecimal", written for example: "0x 10 00000"

This modern hexadecimal numeration supports the use of the original long scale in the decimal numeration.

 

The billion binary

Also the number "one billion binary" (= 2^40) has the same value as "one billion hexadecimal" (= 16^10).

Example :  One billion binary minus one.  This is (in hexadecimal)  FFFFF FFFFF units.

 
In binary that's :
 
1111 1111 1111 1111 1111 : 1111 1111 1111 1111 1111
 
This number can be read :

 
Thousand one hundred onety-one  quadri-myriad,

thousand one hundred onety-one     tri-myriad,

thousand one hundred onety-one      bi-myriad,

thousand one hundred onety-one         myriad,

thousand one hundred onety-one  million,

 
thousand one hundred onety-one  quadri-myriad,

thousand one hundred onety-one     tri-myriad,

thousand one hundred onety-one      bi-myriad

thousand one hundred onety-one         myriad,

thousand one hundred onety-one  units.

 
 
 So it's showed :
 
"One billion binary"  =  "one billion hexadecimal"  =  "one billion (long scale) x 1.099511627776"
 

Michael Chuquet 06:35, 3 Sep 2004 (UTC) &nbsp

Billion, billiard, billards

Wrong, on quite a few points. I may add to the discussion, later.

Hexadecimal grouping is almost always in groups of 4, both for computer analysis reasons (16-bit, 32-bit, and 64-bit words), and because it's logically a binary system, so the number of digits in a group should be a power of 2.

"Billion" is universally 10⁹ in English; the long scale is primarily of historical interest, except for borrowed words in non-English languages. See the long scale article for more information. Whether or not the long scale is more logical, it isn't used in English.

Are you claiming (spiritual) decent from Nicolas Chuquet, who is attributed with the first use of words related to "billion" and "trillion" in French?

— Arthur Rubin | (talk) 01:02, 25 April 2007 (UTC)