Question
Asked Jun 18, 2019

Convert each of the following base ten numerals in the given base:

Convert 67 to base three 

Convert 1544 to base five

Convert 59 to base two

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Expert Answer

Step 1

 To convert 67 base 10 to base three.

67=54+13
=54+9+4
= 54+9+3+1
-2(3' )+1(3)+1(3')+1(3°)
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67=54+13 =54+9+4 = 54+9+3+1 -2(3' )+1(3)+1(3')+1(3°)

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Step 2

Thus,

6710 2111
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6710 2111

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Step 3

To convert 1544 base 10 to base five.

...
1544 1250 294
= 1250 25044
1250 250+25 +19
1250 25025 +15+4
=2(5*)+2(5 )+1(5)+3(5')+4(5")
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1544 1250 294 = 1250 25044 1250 250+25 +19 1250 25025 +15+4 =2(5*)+2(5 )+1(5)+3(5')+4(5")

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Algebra

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