Is there a more elegant way to express eg 14% (Base_10) in Octal?

  • Thread starter Thread starter Nik_2213
  • Start date Start date
AI Thread Summary
The discussion centers on expressing the decimal value of 14% in octal notation, exploring whether there is a more elegant representation than 11/100 in base 8. The conversation suggests that octal representation might approximate 14% as about 1/12th, which translates to 0.112 in octal for accuracy. The conversion process is examined, revealing that 14 in decimal equals 16 in octal, leading to various fraction representations like 7/62 in octal. The challenges of performing arithmetic in octal are noted, particularly in division, where confusion arises from the lack of familiarity with octal multiplication tables. Additionally, there is a tangential mention of the complexity of legacy measurement systems in the UK and the difficulty in finding convenient terms for octal equivalents, with a suggestion of using "Nine Gadols" for 14% in base 8.
Nik_2213
Messages
1,218
Reaction score
493
Is there a more elegant way to express eg 14% (Base_10) in Octal than as eg 11/100 {Base_8} ?

Tangential: Has any-one seen a Base_8 slide-rule, be-it linear or circular ??
 
Physics news on Phys.org
Nik_2213 said:
Is there a more elegant way to express eg 14% (Base_10) in Octal than as eg 11/100 {Base_8} ?

Tangential: Has any-one seen a Base_8 slide-rule, be-it linear or circular ??
Surely, like us, an octal-based critter would round it to the nearest easy fraction - which for them would be "about 1/12th". (Because (Base_8) 1/12th is (Base_10) 1/10th).

But if it had to go for accuracy, they'd dispense with the fractions (as do we) and say "exactly 0.112".

(Did I get those numbers right? I really struggled in base notation in grade school.)
 
Last edited:
DaveC426913 said:
(Did I get those numbers right? I really struggled in base notation in grade school.)
Well, $$\frac{14_{10}}{100_{10}} = \frac{16_8}{144_8} = \frac{7_8}{62_8}$$ which I'm positive about.

Then I watched a YT vid on dividing in octal and got confused. So, try it the hard way...

<octal>
7/62 = 0%7
70/62=1%6
60/62=0%60
600/62=probably 6 or 7, no clue of the carry.
</octal>

so, I get as far as ##0.107_8## before my failure to memorize the ##10_8 \times## table kicks in. Ah, the follies of youth...
 
Last edited:
Tangential: Bane of DIY in UK is the zoo of legacy systems. BSP garden taps, any-one ? I grew up with 'Imperial' mensuration, segued to 'scientific. Then I ran into US imports such as HPLC systems that took eg #10-24 and #10-32 UNC/UNF, the latter finger-tight to 200 Bar !!

Extending the above posters' suggestions, I reckoned that, like eg 11_Base10 and 100_Base10 there'd be convenient words for their equivalents_Base8.

I came up with 14% _Base10 == Nine Gadols_Base8 ( To 2½ DP ?) [[ Insert local glyphs for 64Gadolinium ]]

I'm sorry, given Sumerians etc used Base60, my Google-fu failed me on any better way to express 64_Base10...
 

Thread 'Are Clone Ships a Better Alternative for Space Colonization?'

We've just had an interesting thread about generation ships, but I don't think that that is the most reasonable way to colonize another planet. Fatal problems: - Crew may become chaotic and self destructive. - Crew may become so adapted to space as to be unwilling to return to a planet. - Making the planet habitable may take longer then the trip, so the ship needs to last far longer than just the journey. - Mid-flight malfunction may render the ship unable to decelerate at the destination...
View full post »

Thread 'AI Consciousness?'

I know this topic is extremely contraversial and debated, but I'm writing a book where an AI attempts to become as human as possible. Would it, eventually, especially in the far future, be possible for an AI to gain a conscious? To be clear, my definition of a consciousness being the ability to possess self-created morals, thoughts, and views, AKA a whole personality. And if this is possible (and let's just say it is for this question), about how long may it take for something to happen...
View full post »

Thread 'Red Dwarf Star Systems -- Could they support life?'

This is a question for people who know about astrophysics. It's been said that the habitable zones around red dwarf stars are so close to those stars that any planets in the zones would be tidally locked to the stars in question. With one side roasting and another side freezing almost forever, those planets wouldn't be hospitable to life. a) Could there be forms of life--whole ecologies--that first evolve in the planet's twilight zone and then extend their habitat by burrowing...
View full post »

Similar threads

Writing: Input Wanted Any food-stuffs good for decades with totally non-metallic packaging?
Replies
11
Views
2K
Mathematica How to neglect specific terms in an expression?
Replies
1
Views
2K
Finding coincident angle between 2 equally spaced sets
Replies
1
Views
1K
I Expressing any given point on plane with one unique number
Replies
4
Views
2K
I More elegant way to solve divergence of arbitrary dotproduct
Replies
9
Views
2K
Plot a stereographic hypercube in a Mac's Grapher.app?
Replies
2
Views
2K
I Two ways of constructing electromagnetism, which is correct?
Replies
7
Views
1K
B Does Infinity Times Two Equal Infinity and Other Mathematical Paradoxes?
Replies
7
Views
2K
A The Factorization Theorem in Particle Physics
Replies
6
Views
2K
COVID Covid vaccines - CDC report on associated mortality
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top