Convert the following number from decimal form to the given base. 31974 to base five 31974 = five

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Convert the following number from decimal form to the given base.
31974 to base five
31974 =
•
five
Transcribed Image Text:Convert the following number from decimal form to the given base. 31974 to base five 31974 = • five
Expert Solution
Step 1

Given number in decimal form

31974

To convert:

The given number to the base 5

Numbers in base 5:

The digits of the base 5 numbers are 0,1,2,3,4.

It can be converted to the decimal by multiplying the value of digits with the powers of place values of 5.

For example:

145 convert to base 10 (decimal form)

1×51+4×50=5+4=9

That is, 145=910

 

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