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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
avatar+382 
+1

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
avatar+37146 
+3

 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
avatar+262 
0

ah ok thank you hellospeedmind and ElectricPavlov! that helped me a lot :)

 Jan 5, 2020

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