Tip - Common Base Problems
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Tip - Common Base Problems
by Ani Wed Mar 11, 2009 9:02 pm
Occaisionally, these pop up:
(base 8)77777 + (base 3)2222 + (base 5)444 = ?
Instead of crunching it out in your calculator, you could simply do the following:
realize that 8^3 = 1000 in base 8, soo
8^3-1 = 777 in base 8 right?
use the above to simplify the problem above to:
8^5-1 + 3^4-1 + 5^3-1 = an easily solavble problem on your calculator.
btw, answer is (base 10)32971
(base 8)77777 + (base 3)2222 + (base 5)444 = ?
Instead of crunching it out in your calculator, you could simply do the following:
realize that 8^3 = 1000 in base 8, soo
8^3-1 = 777 in base 8 right?
use the above to simplify the problem above to:
8^5-1 + 3^4-1 + 5^3-1 = an easily solavble problem on your calculator.
btw, answer is (base 10)32971
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