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# number bases

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19
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convert to base 5 _105

Guest Jun 19, 2017

#2
+74552
+1

We want to use a process by which we keep dividing until we have a "0"  whole number

First, divide 105 by 5  and we have

105 /  5   =   21  whole number   and   0  remainder

Now,  divide  21 by 5

21 / 5   =   4 whole number  and 1 remainder

Now....divide  4  by 5

4 / 5  =   0 whole number   and   4  remiander

Read the remainders from  bottom  to  top  =     410

And this is the  base 5 representation of 105  =  4105

CPhill  Jun 19, 2017
Sort:

#1
+25683
+1

4*5^2 + 1*5^1 + 0*5^0 = 105, so 4105 = 10510

.

Alan  Jun 19, 2017
#2
+74552
+1

We want to use a process by which we keep dividing until we have a "0"  whole number

First, divide 105 by 5  and we have

105 /  5   =   21  whole number   and   0  remainder

Now,  divide  21 by 5

21 / 5   =   4 whole number  and 1 remainder

Now....divide  4  by 5

4 / 5  =   0 whole number   and   4  remiander

Read the remainders from  bottom  to  top  =     410

And this is the  base 5 representation of 105  =  4105

CPhill  Jun 19, 2017

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