Number Base Addition
Algebra
Level
1
What is 111 base ten+ 111 base 9+ 111 base 8... all the way to 111 base 2?
424 base 10
592 base 9
3242 base 5
110111000 base 2
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1 solution
In base 1 0 , the sum is 1 1 1 + 9 1 + 7 3 + 5 7 + 4 3 + 3 1 + 2 1 + 1 3 + 7 = 4 4 7 . In base 5 , it is 3 2 4 2 , in base 2 , it is 1 1 0 1 1 1 1 1 1 1 , and in base 9 , it is 5 4 6 . So the correct option is 3 2 4 2 − b a s e − 5