Difference between revisions of "1960 AHSME Problems/Problem 16"
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Latest revision as of 19:02, 17 May 2018
Problem
In the numeration system with base , counting is as follows:
.
The number whose description in the decimal system is
, when described in the base
system, is a number with:
Solution
Since , divide
by
. The quotient is
and the remainder is
, so rewrite the number as
Similarly, dividing
by
results in quotient of
and remainder of
, so rewrite the number as
Thus, the number in base
can be written as
, so the answer is
See Also
1960 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 | ||
All AHSME Problems and Solutions |