Now if a 6,
Turned out to be 9,
I don’ t mind,
I don’ t mind – Jimi Hendrix in If 6 was 9
Cool. Suppose a 100 turned out to be 64.
I don’ t care,
I don’ t care – Jimi Hendrix in If 6 was 9
But, but Jimi, what if your computer program is bugged out and can’t tell if its bad self is coming (from octal) or going (to hex)?
1008 = 6410
10010 = 6416
10016 = 6442
Let it be,
It ain’ t me – Jimi Hendrix in If 6 was 9
You know, 1008 stands for the digits 100 in base 8, equaling the familiar 64 (in base 10), which itself shows as 6410.
Dig – Jimi Hendrix in If 6 was 9
So, that used 6 different digits — 0, 1, 2, 4, 6, 8 — a total of 26 times and bubbles down to...
K W = L X
K X = L Y
K Y = L Z
...where K = 100, L = 64, W = 8, X = 10, Y = 16 and Z = 42.
I’ m gonna wave my freak flag high! – Jimi Hendrix in If 6 was 9
Hold tight, hitch-hiker, check out where simpler ingredients can take you.
Just 4 different digits from 0 through 9, taken fewer than 43 times total, can really wig you out.M P = N Q ( M > N and P < Q < R < S < T )
M Q = N R
M R = N S
M S = N TWild. What M, N, P, Q, R, S and T could do that with the fewest digits total?
Even a 43-digits-total solution or two would be worth posting.
Wave on,
Wave on . . .
. . .’ Cause everybody knows what I’ m talking about
– Jimi Hendrix in If 6 was 9 (vocal track) dailymotion
Answer
Well, I have a working set, it seems:
1011 (base 1) = 11 (base 2)
1011 (base 2) = 11 (base 10)
1011 (base 10) = 11 (base 1010)
1011 (base 1010) = 11 (base 1030302010)
using 4 digits (0,1,2 and 3) and the total number of times those numbers used is - 49 times (well, it was above the 43 limit...) and
assuming fractional bases are valid, here is another one:
22 (base 2.25) = 11 (base 5.5)
22 (base 5.5) = 11 (base 12)
22 (base 12) = 11 (base 25)
22 (base 25) = 11 (base 51 )
using 3 digits (1, 2 and 5) and the total number of times those numbers used is 33.
Here is another one:
111 (base 2) = 21 (base 3)
111 (base 3) = 21 (base 6)
111 (base 6) = 21 (base 21)
111 (base 21) = 21 (base 231)
using 4 digits (1, 2, 3 and 6) and the total number of times those numbers used is 32. Hope this satisfies @humn's requirements in all manners.
No comments:
Post a Comment