❖ Writing a Whole Number in Base 2 ❖

[@patrickjmt]

Hi all! Wanna help a KZbin education OG? Please post comments, questions and anything else on your mind in the comment section! so, don’t forget to LIKE, THUMBS UP, and SUBSCRIBE! I’d appreciate it greatly as it helps me :)

[@DenovoTutor]

PatrickJMT you are the man!!! You inspired me to start my own channel 😃

[@patrickjmt]

Good luck with your channel Joe! It is hard to gain traction making education videos but don't let that discourage you. Keep making good content and people will find you.

[@DenovoTutor]

patrickJMT Thank you, Patrick! :)

[@patrickjmt]

All your base are belong to us.

[@avatar10varusha]

Im amazed at how well you succinctly explained this, pretty much learned the jist of it within the first 10 minutes

[@patrickjmt]

thanks! i appreciate that

[@alchimiste1968]

You can also convert to any given base from base 10 by doing euclidean divisions by the given base and collecting the remainders backwards. For example. 11 (base 10) in base 5 : 11 divided by 6 gives 2, remainder 1; then 2 divided by 5 gives 0 and remainder 2. The quotient is 0, so I stop there. Remainders backwards: 2-1 So 21 (base 5) represents 11 in base 10/ Actually. 2x5^1 + 1x(^0 = 10 + 1 = 11. In the case of base 16 (largely used in computers), remember the equivalences: A=10; B=11; C=12; D=13; E=14'; F=15

[@Marielekoubou8575]

You are genius, Patrick MT. Explained so clearly that my 2nd grade daughter would understand it!

[@Toshiro630]

killing it with the explanations! just in time for my discrete math exam which covers this concept. you could have added in the addition of two numbers in binary to a binary solution(hard to word). it's so simple

[@remestario]

God bless you Patrick. You're the man

[@kchannel5317]

Great video please do more, in particular it would be interesting to see cases were you convert numbers in different bases other then base ten to get a more intuitive approach.

[@kchannel5317]

Good video now it will stick with me

[@Jtotheoshify]

I have a numerical methods final tomorrow, thanks for this!

[@Brian-gd7lj]

For fun, try converting the base 12 number Patrick wrote directly into base 2. This means in each place value you would have... 1100^3... 1100^2... 1100^1...1100^0 as your place values. You would need to learn binary multiplication.

[@xbr_osrs]

getting into base n division and multiplication would boggle my noggin

[@tommy-yp4jp]

To me it's far easier to understand base 2 if you present it in terms of bits, where the bit is turning off or on the power of 2 that corresponds to it's position, with least significant bit, bit 0, being the farthest to the right. Then starting from the initial value you can repetitively subtract the highest power of two until you get to zero keeping track of which bits you need to turn on when you write the number in binary. Then once you get to zero you start from bit 0 working left writing a 0 for each bit that is "turned off" and a 1 for each bit that is "turned on". I don't know.. that may seem unnecessarily confusing, but when I took a logic system design class it really highlighted the mechanism at work for numeral systems. From there it became pretty intuitive that, for example in hexadecimal, any non-zero entry "turned on" the power of 16 it corresponds to, and that any value other than 1 scaled the power of 16 that it "turned on."

[@KingDuken]

tom paine I like hex. It’s like binary... but super compressed binary.

[@tommy-yp4jp]

KingDuken interesting, I never really thought about it that way before. Although I really feel like I should have, because that's one of the ways you can use it, to compress binary by a factor of 4. I always love adding and subtracting in hex for whatever reason.

[@darahill928]

So how do you look for the next whole number after 6848 nine in the base nine system

[@-a5624]

thank you so so much

[@oodlebay]

@3:50 actually, I just realized I didn’t actually know this. I now realize why math has been confusing: my fundamental understanding of numbers has been severely lacking.

[@JCEurovisionFan1996]

PatrickJMT T and E are the symbols for base-12

[@AJ-kc7wz]

Thank you!!!

[@MrTimAway]

in base 12, 11 is actually represented by Ɛ. Some notations use ᘔ (instead of X) to represent 10.

[@patrickjmt]

there are lots of different notations was what i read...

[@tuna3875]

Does anyone have a good method for studying competitive precalculus?

[@erc333]

When converting bases...do you always have to go through base ten? is there a way to directly convert a non base 10 to another non base 10 ?

[@patrickjmt]

have not thought about it but certainly there can be no good reason one would have to go through base 10 first

[@amineaboualkacim9646]

Could you do a transcendental integration?

[@alanturingtesla]

From thumbnail I thought that base 2! might be something different then base 2 :D

[@HDitzzDH]

Well 2! is still 2 so...

[@michellesmith2413]

Write the next whole number after 1101 base 2 in the base-two system.

[@timp5188]

you have 700,000 subs and get good views. Increase your production quality!!!

[@NobodyXChallengerYT]

Tim P His production's fine, imo

[@patrickjmt]

what do you want? me with a green screen behind me? fancy animations? feel free to offer improvements but be more specific as what would help. creative criticism is always welcome.

[@timp5188]

Yes... Please do that. No. Don't. However, better lighting and microphone quality would definitely help! Other than that, keep up the good work.

[@xbr_osrs]

how would that improve the content

[@제로-w3x]

Love ya 0.0

[@just.a.guy522]

Just take a shot every time he says eleven

[@sjchsbc]

Is this just me or does the pen sliding sounds uncomfortable?

[@Acheesman9481]

Math is nothing 2b^2 of

[@kinnikuzero]

The upside down 2 looks like the letter ح in Arabic

[@HACKINGMADEFUN]

Why don't you shoot in 16:9 ratio?