DillanV373487 DillanV373487
  • 30-10-2022
  • Mathematics
contestada

How do you write 314 (base 5) in base 10?

Respuesta :

EvangelinaA121210 EvangelinaA121210
  • 30-10-2022

Answer:

314 (base 5) = 84 (base 10)

Explanation:

To write 314 (base 5) in base 10, we can do the following:

[tex]\begin{gathered} 314(base5)=3\cdot5^2+1\cdot5^1+4\cdot5^0 \\ 314(base5)=3\cdot25+1\cdot5+4\cdot \\ 314(\text{base 5) = 75+5+4} \\ 314(\text{base 5) = 84 (base 10)} \end{gathered}[/tex]

So, we take every from right to left and multiply then by 5^x where x is a number that starts with 0.

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