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# help!

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What is the remainder when the base 4 number 120301232_4 is divided by 8? Express your answer in base 10.

The _4 means base 4 :D

Jan 5, 2020

#1
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According to Wolfram Alpha, $$\frac{120301232_4}{8}$$ is equal to $$\frac{50743}{4}$$ in base 10, which means that the remainder is 6. Does that help?

https://www.wolframalpha.com/input/?i=%28120301232_4%29%2F8

Jan 5, 2020
edited by hellospeedmind  Jan 5, 2020
edited by hellospeedmind  Jan 5, 2020
#2
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I will convert it to base 10 to start

2 +

3 x 4 +

2 x 4^2

1 x 4^3

0 x 4^4

3 x 4^5

0 x 4^6

2 x 4^7

1 x 4^8                           = 101486       divide by 8    remainder is 6

Jan 5, 2020
#3
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ah ok thank you hellospeedmind and ElectricPavlov! that helped me a lot :)

Jan 5, 2020