SOLUTION: MAT 145: Topics In Contemporary Math Operations in Bases Find each of the following. Be careful which base the work is done in! 2) 321(6) + 1255(6) 3) 143(5)

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Question 1192371: MAT 145: Topics In Contemporary Math
Operations in Bases
Find each of the following. Be careful which base the work is done in!
2) 321(6) + 1255(6)
3) 143(5) + 432(5)
4) 3145(7) + 216(7)
5) 4344(9) + 2313(9)
6) 143(5) − 34(5)
7) 9327(11) − 7318(11)
8) 6323(7) − 415(7)
9) 11100100(2) − 11111(2)
10) 11100100(4) − 12321(4)
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!



I'll do no. 2 for you, you should then be able to do the rest.



2) 321(6) + 1255(6)



Step by step:



5+1 = 6 = 0(6) with a 1 carried:

  1

1255

 321

----

   0





1+5+2 = 8 = 2(6) with a 1 carried:



 1

1255

 321

----

  20 





1+3+2 = 6 = 0(6) with a 1 carried:



1

1255

 321

----

 020



1+1 = 2 = 2(6):



1255

 321

----

2020(6)





Check:  321(6) = 3*6^2+2*6+1 = 121(10)

       1255(6) = 1*6^3+2*6^2+5*6+5 = 323(10)

                    

       121(10)+323(10) = 444(10)



   2020(6) = 2*6^3 + 2*6 = 432 + 12 = 444(10)  (ok)