Convert A Number In Base 10 To Base 5

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Change a number in base 10 to base 5, this method can be used to convert any number in base to to some other base, just replace 5 with the base you want to convert to.

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I had been having a difficult time understanding this concept, but the way you explained it made total sense! Thank you so much for making this video!

tehasia
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Thank you so much. You explained it much better than my professor did! Nice and succinct!

tan
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Much clearer in this
Method. Thank you

lizmasters
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OMG THANK YOU SO SO MUCH I JUST STARTED LEARNING THIS IN ONLINE SCHOOL AND I DIDNT UNDERSTAND BUT NOW I DO THANK

safeerajasmeen
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TYSM I was just horrible at this and now I'm way better

crystalthesharp
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I followed what you did. But what is the purpose to convert a number in base 10 to 5?

kemmiepham
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What are you doing with the remainders is ny only question. Im working on a problem right now and im stuck because i dont see what to do for the remainder. Do I simply just move it over pluck in a zero for the place holder etc?

switchesup
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If you don't want to go onto another Youtube video to convert from any positive base (≥ 2) to Base 10, here's how:

Say we have the number 524 in base six. To convert to base ten, there's an easier and faster way.

We write the number, then multiply by base then count from the right and from zero, and add that as a power onto the base (look below)

(5 • 6 ^ 2) + (2 • 6 ^ 1) + (4 • 6^0)

Simplify (calculate). Remember to use BEDMAS or PEMDAS.

180 + 12 + 4 = 196

And there you have it — 524 in base six is 196 in base ten.

yourself
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How do you know what the remainder is?

litlinus
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Thanks so much, this video just helped me so much with bases!

asvinsayanthan
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A question where did the 3 come from after 5/16 when converting 2014 base 10 to base 5

joannachiang
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Isn't that 80÷5=16 and the remainder is 0?

mazerunnerkhor
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Sorry u made a mistake in the 16÷5, u said 3remainder0, but it is 3 remaining 1

enehnkiruofoedu
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but what if something is divisible by 5 or 2 ect.

jerryshi
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But you didn't explain WHY this works.

ming-lunho