Number Theory

Number Bases

Number Bases Warmup

         

11+1=10011 + 1 = 100 In which base is this equation true?

66+66=14366 + 66 = 143 In which base is this equation true?

12×3=4012 \times 3 = 40 In which base is this equation true?

12×9=A212 \times 9 = A2 In which base is this equation true?

Note: In this equation, AA is a digit representing the number written as 10 in base 10.

88+8=9088 + 8 = 90 In which base is this equation true?

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