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# halp

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Can someone tell me how bases work? My teacher was teaching them to us and I can't figure it out.

Jun 14, 2021

#1
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Quick review:

Here is how base 10 (decimal) (the one you are familiar with) works

345610        Each position is a power of 10    6 is is in the power 0 slot    100 =1      so  6 x 1 = 6

5 is in the 101   slot    so   5 x 101  = 50

4 is in the 10slot      4 x 100 = 400

3 is in the 103   slot   so   3000                        added they equal  3000 + 400 + 50 + 6 = 3456

there are 10 numbers that can be in each slot   0 through 9    for base 10

biggest  4 digit base 10 number would be 9999

Now here is a base 5 number     1234      numbers in the slots can be anything from 0-4   ( but not 5 ...or 6 or  7 or 8 or 9)

4 is in the 50 slot    = 4 x 1 = 4

3 is in the 51   slot =   3 x 5 = 15

2 is in the 52 slot  = 2 x 25 = 50

1 is in the 53 slot     1 x 125 = 125        added they equal   125 + 50 + 15 + 4 = 19410

biggest four digit base 5 number would be  4444

so 12345   = 19410                        Clear as mud?

Jun 14, 2021
edited by ElectricPavlov  Jun 14, 2021
#2
+2

Thanks EP.

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