What are bases in math?

In mathematics, a base or radix is the number of different digits or a combination of digits and letters that a system of counting uses to represent numbers. For example, the most common base used today is the decimal system. In this video, we comprehensively explain what bases are, and how we can convert them. This video also discusses their uses.
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Bases are very useful in Number Theory and an integral part!
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Complete Number Theory Playlist: kzbin.info/aero/PLZ6lgLajy7SZI6Q6PshbdAB24OFbz0yTk Have a suggestion for a future video? Know the answers to the problems at the end of the video? Drop it in the video comments to check if you are correct!

[@Ussr14493]

Important question for olympiads u will get some easy questions from this, I am from india

[@9_1.1]

2:42 where tf did you get 64 + 8 + 3?? you explained everything except how to actually convert the damn number

[@silverv2964]

Grab 75, then divide it by the biggest power of base 8 that goes in 75, in this case, it's 8^2, or 64. Divide 75 by 64 but do not use decimals, keep the remainder, you'll get as a result 1 with a remainder of 11, grab the remainder and divide it by the next power of 8, in this case being 8^1, or 8 itself, you get 1 with a three remainder, then divide it by 8^0, or 1, you get 3 with 0 remainder. Grab the coefficients of each division and place them in order We got 1 after dividing by 64 We got 1 after dividing by 8 We got 3 after dividing by 1 The number converted is 113.

[@boich7765]

I love it thank you!

[@wafflestraw8631]

1) 11011 2) 1967 3) 135 :) I think I finally understand bases now! Thanks ThePuzzlr!!

[@mrosskne]

in "base 10", what base is 10 written in?

[@maikatayama8906]

this is very good. i love it!

[@ThePuzzlr]

Thank you!

[@lumubiibah2398]

yh

[@panashetsungu5824]

I love it 🎉

[@juliegallivan1508]

1. 14 2. 1967 3. 135

[@lumubiibah2398]

yh its good

[@shuhanli]

1st one's wrong, double check it :)

[@GrahamNaing]

What about tenary

[@gacha_cute123]

I love this math

[@zedmann4177]

Nice

[@denifnaf5874]

Based and math pilled

[@abhigamer944]

🎉🎉🎉🎉

[@GrahamNaing]

75 is I think is like 8*7=56+5=61

[@GrahamNaing]

75 in base 8 is 61

[@eminaticic5790]

You explain it terribly

[@89ccmf]

I agree