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# Binary Numbers

Pro Problems > Math > Number and Quantity > Number Theory > Bases

## Binary Numbers

The following numbers are written in base two (binary). Find their sum in base ten.

1001101, 11001

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Problem by Mr. Twitchell

## Solution

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## Similar Problems

In what base is the following addition problem written?

64 + 31 = 115

### Base Multiplication

If the following expression is written in base k, where k is an integer between 10 and 16 inclusive, and Z represents the largest digit in base k, what are the possible values for the expression?

Z x 11

### Base Age

Laura, who doesn't want people to know how old she really is, tells everyone that she is 21 years old, but she's not using base ten - she's using base n instead. Two years later she uses base n - 10 to tell people that her age is 133. How old was she really, when she said she was 21?

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