YSGabino2059 YSGabino2059
  • 12-07-2019
  • Mathematics
contestada

Convert 185 to base three

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shirleywashington shirleywashington
  • 23-07-2019

Answer:

20212

Step-by-step explanation:

Divide 185 by [tex]3^4[/tex] as [tex]3^4[/tex] is closest to 185

After dividing we get remainder 23 and quotient 2

Divide the remainder 23 by [tex]3^3[/tex] we get remainder 23 and quotient 0

Divide the remainder  23 by [tex]3^2[/tex] we get remainder 5 and quotient 2

Divide the remainder 5 by [tex]3^1[/tex] we get remainder 2 and quotient 1

Divide the remainder 2 by [tex]3^0[/tex] we get remainder 0 and quotient 2

Taking all the quotient values we get 20212

Hence, 185₁₀=20212₃

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