An Easy Base Game

Number Theory Level 1

Find the value of the given expression in base 10.

1 0 ( 2 ) + 1 0 ( 8 ) + 1 0 ( 10 ) + 1 0 ( 12 ) 10_{(2)}+ 10_{(8)}+ 10_{(10)} + 10_{(12)}

Clarification: A ( 2 ) A_{(2)} means that the number, A , A, is in base 2.

32 312 40 4

View wiki
Zandra Vinegar by Zandra Vinegar

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Kay Xspre
Feb 22, 2016

It is worth nothing that the last digit in each base is zero, so we can skip the conventional method and wrote the sum in base 10 to ( 1 × 2 ) + ( 1 × 8 ) + ( 1 × 10 ) + ( 1 × 12 ) = 32 (1\times2)+(1\times8)+(1\times10)+(1\times12) = 32

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...