Converting between bases DIRECTLY (no need to go to base 10)

Converting between bases DIRECTLY,
Multiplication table in base 7: • Try not to go insane!
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[@pnkj_kumar]

Here the blackpenredpen using blue and green pen. Time to change chaneel name

[@RogueToad50]

I only just noticed, but your pen-switching technique is superb.

[@joyli9893]

why are you rouge? i havent been rouge my age years ago

[@MikeCharles81]

🔥

[@ralfbodemann1542]

Thanks for professionally juggling with different bases! BTW: Why do so many mathematicians mix up Halloween and Xmas? Because Oct 31 = Dec 25.

[@afafsalem739]

It's amazing equation Oct 31=Dec25 hahaha I like it

[@MrLuigiBean1]

This is INCREDIBLE.

[@FromTheMountain]

I'm really amazed at this clever pun.

[@mintuchakraborty8445]

HOWWWWWWWWWWW PLEASE EXPLAIN???

[@quantumsoul3495]

@@mintuchakraborty8445 Dec for base 10, 25=3*8+1=31_8 Oct

[@DJTomEGun]

This explanation was great. I loved it so much, I came back to watch it again just because I forgot to thumbs up it before it was over!

[@jurian0101]

Or you can do long division of 11201 by 21 (that is 7 in base 3). 11201 = 21*200+ 1 200 = 21*2 + 11 so 11201_(3) = 241_(7)

[@doomcake2020]

This was genuinely fun to watch!

[@BallisticDamage]

Thank you soooooo sooo sooo much,ive been trying to do this task until 2am last night,i could find it any where.You just earnd your self a subscriber

[@mayak4984]

OMG thank you so much !! i've been looking for this for hours

[@maruthasalamoorthiviswanat153]

great explanation sir. Thank you for your service.

[@JoeStaehle]

Thanks for the refresher on this topic.

[@sfratini]

Excellent job. Thanks for posting this.

[@matteoattanasio8328]

The only helpfull lesson I found so far. Great work ^^

[@TheLeontheking]

I like that you don't use the usual bases (2, 8, 12, 16) - forces people to think a little more outside the box :)

[@ValkyRiver]

You missed 6.

[@wyattstevens8574]

​@@ValkyRiverMisali?

[@ValkyRiver]

@@wyattstevens8574 jan Misali

[@ZoumZoum310]

I find it a better method than what i saw in school, thank you !!

[@skulduggerypleasant7983]

Thank you for your Video. It helped me more, than you can imagine

[@SuperMtheory]

Excellent video. Thanks!

[@duggydo]

You are up early! Excellent video to watch while I can’t sleep ;)

[@ipanjohur3691]

Appreciate it man ❤️

[@yuratv8447]

it's clever explanation. I was looking for years for may computer program. thank you very much.

[@ballsdeep420]

Easy to follow and understand video, thank you

[@biggerthaninfinity7604]

Thank you as always.❤️

[@marouaniAymen]

Thanks a lot, I really did like the video !!!

[@holyshit922]

1:40 This polynomial representation appears when you use Horner's scheme to evaluate polynomial at the point

[@isaquepim4555]

2+6 is equal to *raise eyebrows* ...one, one.

[@sreyans01]

Wow, great explanation 👌👌👌

[@hueydo3522]

This is amazing! College kid learning base switching on youtube faster than 50 min lectures

[@user-rh5nm8hr8r]

Wow....it just amazed me

[@blitznoobz1457]

I just learned something new.

[@ssahillppatell]

Thankyou :)

[@pierreabbat6157]

Rewrite the base-9 number in base 3, reducing it to the previous problem. How about base 20 (using Mayan or Eskimo numerals and Nawat words) and base 60?

[@patrickgleason3053]

Can you do a video on bases higher than 10 like 12 or 16?!

[@woofelator]

I'll be back again when I'm smart lol

[@paulraymond5317]

Thanks so much for your unique way of teaching, I've been searching for such a unique way of converting bases, now I'm so happy to come across your channel but please how then can I convert 372.406 base 9 to base 7???

[@yaleng4597]

11201(base 3)=1111111(base 2)

[@justcurious1940]

method ?

[@jimbobago]

46 base 7 is 50 - 1 so I did it by (50 - 1) x 12. I found that easier. There's always more than one way to fry an egg.

[@EmpyreanLightASMR]

Always amusing to see comments like, "wow ty learned so much from u now tell me how do u convert 13435 base 13 to base 3 plzzzz"

[@mohammadabdurrehmancheema109]

how did you make this multiplication table??

[@yoavcarmel1245]

mind blown

[@blackpenredpen]

Yoav Carmel : )

[@hikmetalwadi8852]

@@blackpenredpen can u solve x^2.y^3=y^2.x^3 u r genius if u solved it

[@nicholaslau3194]

we need base pi or base 2pi, i.e. radians

[@typo691]

I wonder if fractional and negative bases are well defined

[@gordonchan4801]

base i

[@husklyman]

Or base 0

[@youmu_i19]

Integers in base pi will be irrational

[@andersyu4464]

I wonder how base 1 works

[@h4ckerangelo]

genius

[@Invalid571]

For the first one I used a slightly different approach: Notation: (n)m = number n to the base m (11201)3 = (1*3^4+1*3^3+2*3^2+0+1*3^0)10 = ... = (127)10 = (18*7+1)10 = (24*7+1)7 = (241)7 Because (18)10 = (24)7 2nd one: (372)9 = 3*9^2+7*9+2*9^0 = ... = (308)10 = (44*7+0)10 = ((6*7+2)+0)10 = 620

[@milestailsprower4555]

n_(base=m} = number n to the base m Next sequence: 1_(base=12), 4_(base=12), 9_(base=12), 14_(base=12), 21_(base=12), 30_(base=12), 41_(base=12), 54_(base=12), 69_(base=12), 84_(base=12), A1_(base=12), 100_(base=12), 121_(base=12), _

[@jimbobago]

The whole point of the video is to show how to do the conversion WITHOUT the intermediary conversion to base 10.

[@burhanchowdhury1544]

Please make a video for fraction number to convert other base number..

[@aymanabdellatief1572]

You’ve done mathematical operations with bases less than 10. It would be interesting to see mathematical operations with hexadecimal or base 16. Now you’re going from pure mathematics into digital logic and computer science.

[@angelmendez-rivera351]

Ayman Abdellatief Actually, operations in base 16 is still pure mathematics. There is nothing special about the number 16. There are enough different symbols in existence for one to work in base 300. There is genuinely nothing non-mathematical about working in higher-indexed bases.

[@angelmendez-rivera351]

It also has little to do with computer science. Computer science uses base 16, yes, but what base 16 itself is purely a mathematical definition.

[@JamalAhmadMalik]

#yay!

[@quahntasy]

The frequency of upload is too high for my poor brain to absorb. Please Staaahp. and why using a blue and green pen.

[@ZUBAIRAHMED-hl1tk]

1:50

[@guren1484]

Do i have to write down the table every time before i do a convert? What about converting 574031 (base 8) into base 17 :)

[@user-vj7uc9tj7c]

You can do the conversion without a table. In his first example, you can convert 3, 4, 12, 17, 60, 180, 241 to base 7 without the table. Use the same method for your second question.

[@That_One_Guy...]

You dont have to write down the table, you just need to know how to do multiplication and addition in other base system

[@wyattstevens8574]

@@That_One_Guy... Right, and the table can help.

[@MateFast_Oficial]

?hay alguna forma para decimales periódicos pero en otra base? Ejemplo: 3,444...(5) directamente a base 7.

[@shawblake4413]

I'm so lost its crazy

[@ffggddss]

OK! Now let's see a conversion from base 328 to base 2671. Actually, let's not! Fred

[@blackpenredpen]

I like that idea : )

[@amey7064]

What should be once we use up the first 10 digits 0-9? Hexadecimal goes till 0-F. Base 328 would be interesting to create itself.

[@harry_page]

Here you go! 1 in base 328 = 1 in base 2671. Thank me later.

[@EmpyreanLightASMR]

Huh-I haven't found a video on base [matrices] yet. Surely that's possible.

[@Althepal445]

What is the name of this methodology and how do you continue into decimals?

[@paulraymond5317]

Please if you gotten a way solving decimals with this method then please share with me🙏

[@blankspace1959]

I never thought I would say this but I hate the multiplication table in base 7, I already have to double check my calculations when recalling the normal multiplication table now I have to think about powers of seven, multiplication and addition together. my poor brain

[@toferg.8264]

“9 is Not allowed in base 9.” But, you forgot about Matt Parker's drunken numbers 😜 “It's base 2, but some drunken 2's stumble in…”

[@rishiaman2288]

doreamon

[@ToanPham-wr7xe]

😮

[@joyli9893]

is this video recorded in a house?

[@Hexanitrobenzene]

Hey, BPRP ! Can you get your hands on a book "The Art of Computer Programming" by Donald Knuth ? This book is intended for students of computer science, however, it has very good mathematical material. In our case, Volume II (3rd ed.), Chapter 4, Section 4.1 "Positional number systems" talks about some interesting instances, like base (-10), base 2i, base 1-i, balanced ternary, factorial number system and more. There is a reference to article about irrational number systems, but I can't get it. Could you do a video about irrational number systems ?

[@blackpenredpen]

That sounds interesting. I can try. However, I am not really familiar with those subjects tho.

[@Hexanitrobenzene]

blackpenredpen We, your viewers, believe in you ! You breathe with mathematics :) I guess any idea from that paragraph would suffice. You see, when programming got popular, so did binary, octal and hexadecimal number systems. Any other natural number base is not that different. Now base 1-i is something else... I guess most people, who know binary, wouldn't even guess that such a system exists. I myself stumbled upon it accidentally, because I'm not a computer science student, I just read a little about that book on Wikipedia, and it happened to be in a torrent with the book I needed :) In volume I of that book there is a whole chapter for mathematical prerequisites. I suggest you to skim that too. For example, there was described a method of generating functions used to deal with recurrence relations, and it was applied to find closed expresion of Fibonacci numbers. I guess it would be interesting for your viewers, too.

[@angelmendez-rivera351]

These bases work exactly the same way you would intuitively expect them to. Base 2i has two digits as base 2 does, exactly as you expect it. However, the inaginary unit is already built into the base, so you can express complex numbers without needing a symbol for the imaginary unit and without needing a symbol for the negative sign. 1 in base 2i still means 1 as it would in any other base. 10 is 2i and 11 is 1 + 2i. 100 is (2i)^2 = -4, and 101 is -3. 0.111... = (2i)^(-1) + (2i)^(-2) + •••, a geometric series. This evaluates to (1/2i)/(1 - 1/2i) = 1/(2i - 1) = (2i + 1)/(-4 - 1) = -(1/5) + -(2/5)i. -i = 0.1 + 0.1. The operation between numbers themselves become more complicated, but it still satisfies all the requirements to qualify as a positional number representation system. You can do similarly with base 1 + i and base -10. You can have base e, base φ, known as phinary, and all sorts of things.

[@angelmendez-rivera351]

11 = 100 if the numbers are in base φ

[@husklyman]

You didn't show us yet how to convert irrational numbers, like 2^0.5

[@angelmendez-rivera351]

Omer It's the same concept, it's just more arithmetic.

[@zackmercurys]

wow, just in time when we have this in my university, but we're going through base 10! that's gonna be cheating.

[@curiousbit9228]

Why are you holding the mic in your hands in 2018?

[@ducktape8926]

I am first comment. Please bless me for my upcoming calc2 exam over trig sub

[@blackpenredpen]

Duck Tape good luck!!!

[@justcurious1940]

look at this carefully : 372 = 3 10 2 = (3*9+10) * 9+2 is the same as 372 = 3 10 2 = (3*12+10) * 12+2 but just the computation should happen in base 7 and u will get the same result i discover this please give credit 👽

[@ajlava3997]

am i the only one noticed the lighting changing throughout the video?

[@justcurious1940]

where is base 3 useful ?

[@amaze2n]

Slap like now if you want to send more base! OK, ok

[@Brandlin]

all you demonstrate nthis video is that you are converting to base 10 and then to base 7, you are just doing it in stages. for example 2x4 = 12 but in base 7, 12 is 15.

[@badrunna-im]

That intermediate step is only to aid those who are used to base 10, but this method still works if you know base 7 but not base 10.

[@ssdd9911]

2*4=12 in base6

[@briandeschene8424]

Brandlin As Badrunnaim Al-Faraby points out in their reply, this is being done to help those watching/learning from this video to trace what is happening. I am old enough to have had to write software using octal (base 8) and hexadecimal (base 16) directly. It is interesting how adept you can become going between those two directly and no longer “pass through” their decimal (base 10) equivalents. This video is well done!

[@user-vj7uc9tj7c]

You're right, but he convert small numbers, which is much easier to do. Also, he doesn't really need the table.

[@KnakuanaRka]

The difference is that this method can be done without needing to know base 10 at all.

[@KuZiMeiChuan]

你是不是變瘦了？

[@MisterItchy]

It seems to me that you still go to base 10 with your calculations, you just do it one piece at a time and never put the pieces together.

[@PramilaAryal-hy8ro]

just go to base 10 or use calculator give your brain some air for other nonsense things

[@joyli9893]

this is too hard for meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee