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

[Nik_2213]

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 ??

 

[DaveC426913]

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.)

 

[hmmm27]

(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...

 

[Nik_2213]

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...