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Move the digit, Change the base (Posted on 2022-04-19) Difficulty: 3 of 5
Find the smallest positive base 10 integer, for each of (a) through (d), (but with a 3-digit minimum), such that moving a digit is equivalent to changing the base from 10 to some other base which you must determine, according to one specific condition below:

(a) Moving a 6 from last digit to first changes from base 10 to a smaller base
(b) Moving a 3 from first digit to last changes from base 10 to a smaller base
(c) Moving a 2 from last digit to first changes from base 10 to a larger base
(d) Moving an 8 from first digit to last changes from base 10 to a larger base

Note: The new base may be different for each of (a) to (d)

No Solution Yet Submitted by Larry    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Summary -- if it had been right from the startCharlie2022-04-21 09:17:31
re(6): computer exploration -- c and d finallyCharlie2022-04-20 14:46:17
Testbanks21robin smithsters2022-04-20 07:37:37
re(5): computer exploration -- c and d finallyLarry2022-04-20 07:09:45
re(5): computer exploration -- all right, got bCharlie2022-04-19 19:03:46
re(4): computer exploration -- c and d finallyCharlie2022-04-19 18:57:59
re(3): computer explorationLarry2022-04-19 16:38:16
re(2): computer explorationCharlie2022-04-19 13:46:52
re: computer explorationLarry2022-04-19 12:49:19
Some Thoughtscomputer explorationCharlie2022-04-19 11:16:24
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