09 September 2004
Edited 07 February 2005
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This is literally something I thought up in 20 minutes. That's how easy it is to get you mind around
octal. By the way, octal is base-eight
counting (for more on how number bases work, see my essay, Counting Systems
Compared). I am not going to
develop this any more – at least not in the near future. But I thought some of you might like to see
the raw data – it's fairly straightforward.
Remember, in octal, eight looks like 10.
Octal Counting (number names)
Octal Value |
Name |
Decimal Value |
0 |
Zero |
0 |
1 |
One |
1 |
2 |
Two |
2 |
3 |
Three |
3 |
4 |
Four |
4 |
5 |
Five |
5 |
6 |
Six |
6 |
7 |
Sev |
7 |
10 |
Oct |
8 |
20 |
Tuoct |
16 |
30 |
Threeoct |
24 |
40 |
Fouroct |
32 |
50 |
Fiveoct |
40 |
60 |
Sixoct |
48 |
70 |
Sevoct |
56 |
100 |
Hec |
64 |
200 |
Twohec |
128 |
1 000 |
Tho |
512 |
10 000 |
Octho |
4 096 |
100 000 |
Hectho |
32 768 |
1 000 000 |
Mor |
262 144 |
10 000 000 |
Octmor |
2 097 152 |
100 000 000 |
Hecmor |
16 777 216 |
1 000 000 000 |
Till |
134 217 728 |
10 000 000 000 |
Octill |
1 073 741 824 |
100 000 000
000 |
Hectill |
8 589 934 592 |
1 000 000 000
000 |
Dar |
68 719 476 736 |
10 000 000 000
000 |
Octdar |
549 755 813
888 |
100 000 000
000 000 |
Hecdar |
4 398 046 511
104 |
1 000 000 000
000 000 |
Zel |
35 184 372 088
832 |
10 000 000 000
000 000 |
Octzel |
281 474 976
710 656 |
100 000 000
000 000 000 |
Heczel |
2 251 799 813
685 248 |
1 000 000 000
000 000 000 |
Jor |
18 014 398 509
481 984 |
10 000 000 000
000 000 000 |
Octjor |
144 115 188
075 855 872 |
100 000 000
000 000 000 000 |
Hecjor |
1 152 921 504
606 846 976 |
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Octal Time:
The below
text is written in decimal.
Octal (a)
time: 16 hr. Day (clock face numbered 1-8 with 8 sets of 8 min./sec. each)
second
conversion: 86 400/24 = 65 536/16
1 sec =
1.318359375 sec
1 min = 84.375
sec
1 hr. = 5 400
sec
1 day = 8 6400
sec.
Octal (b)
time: 30 hr. day (clock face numbered 1-15 with 15 sets of 4 min./sec. each)
second
conversion: 86 400/24 = 108 000/30
1 sec = 0.8 sec
1 min = 48 sec
1 hr. = 2 880sec
1 day = 8 6400
sec.
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Octal Measurement:
I'm not sure how
long these units should be, but I am thinking of 1 inch = 1 international inch
(or 2.54 cm)
1/8 inch |
1 inch (1/8
foot) |
1 foot |
1 yard (4 feet) |
1 fathom (8
feet) |
(the fathom is
the next ‘metric’ unit after the foot; yard bears the same relationship to a
fathom as a cubit does to one of our yards.)
*
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Return to
Counting Systems Compared
Return to Nearly Everything You Need to Know About Weights and Measures
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