Change of Base

Algebra Level pending

How is the decimal number 59 (fifty-nine) expressed in base-7? Omit leading zeros.


The answer is 113.

Steven Chase by Steven Chase , 37, USA

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1 solution

Marta Reece
Jun 28, 2017

The number is to be decomposed into multiples of 7 2 = 49 7^2=49 , 7 7 , and 1 1

59 = 1 × 49 + 1 × 7 + 3 59=1\times49+1\times7+3

So in base 7 7 it is 113 113

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