What is Modular Arithmetic - Introduction to Modular Arithmetic - Cryptography - Lesson 2

[@noobsniperxx]

This has got to be the best introduction to modular math I’ve ever seen. Straight to the point and by someone that knows what they’re talking about. I’ve noticed that the people who break it down like this are really good at what they do and the people that try to sound “smart” don’t really understand what they’re trying to teach. Thank you.

[@areesgameplays424]

Facts

[@haucaidevil2703]

fr

[@vivekm7971]

True

[@رسوماتسدين]

❤

[@zachecho9167]

It took me a solid hour of scratching my head then I found your video series and understood it all in 10 minutes, thanks a lot.

[@alecmacalpine2513]

Bruh I've been scratching my head for ages.

[@youtubebero5154]

Thank God for people like you that can simplify and teach knowledge. Keep it up, you are a blessing to human kind.

[@readogamer3515]

3 and 5 have the same value when we are dealing with mod 2 . great explanation sir . HATS OFF!!!

[@好吧-h6k]

1

[@ieatpencils]

So much easier than the other videos explaining the same thing. Thank you!

[@Abdulaziz-fg3mh]

man you really made my life easy after watching this video. all the best for you and please do not stop! the world really needs you

[@kristijanpopcev9996]

Wow, just amazing tutorial. You explained the basic modular arithmetic in the most clear way possible.

[@muhammadrayanmansoor4301]

Probably the best introduction to modular arithmetic ever created

[@rosemarychidera4643]

Coming here to learn modulo after 6years of you posting it and learning it under a few minutes. Thanks a lot for breaking it down

[@esofialo23]

OMG!!! thank you so much!! In only less than 5 min I got what I had been trying to understand with my book for over an hour!!!! :D

[@woapful]

you taught this way better than my professor ever could from a 90 min lecture in under 5 minutes!! thank you!!!!!

[@Mike-lr2bc]

Amazing jop, I am taking cs 70 at Berkeley and this has made my life 10000 times easier

[@Aycore2011]

Standing Ovation bro, bloody good explain. Thank you.

[@camilomuianga7865]

I cannot pass here without let my point of view about the the greatest video i've not seen before! I'm i'm learnig from Mozambique

[@oneinabillion654]

I've watched many videos and went to many websites to just understand what is mod. Honestly I didn't understand anything till Ive seen ur video. I think it's fair to say you have the best modular arithmetic intro video

[@Kiirus_pov]

I know I am 8 years late but this helped so much!!!! You have a way of explaining really well.

[@hannav7125]

Best video on KZbin about modular arithmetic thank you sir

[@russelljazzbeck]

That number line changed how I understand modulos. Thanks!

[@Christina-09]

Finally! Thanks for this video. You explained it clearly than my Prof

[@Sarathkumargandreti]

Best Introduction for the Modular Arithmetic

[@pocojoyo]

The best intro to modular arithmetic

[@audreybruening8612]

I can never thank you enough for this video, it just saved me before my final!!!! Thank you!

[@Ali-mi9up]

the values in the mod space can be thought of as a circle made up of m-1 terms so 14%12 like a 12hr clock and so you send up on 2 after you move 14 spaces

[@elmoreglidingclub3030]

Excellent!! Best description I’ve ever seen for modulo math.

[@blitzo1160]

ur explaining is much more easier than fricking 2hs annoying ass class. thanks.

[@hklausen]

I did never think of modular this way. Very good explanation.

[@venkateshnarayana9099]

Wow! The modular Arithmetic can be a nightmare but this congruence topic was explained in the most simple way that I have seen. Very nice ...thanks for posting this👍

[@gregorymorris10]

Thank you so much for providing this! It's a big help! My textbook absolutely SUCKS at explaining this topic.

[@mahmoudjamal1619]

Thank you so much! being an online college student was confusing but this video helps a lot when it comes to cryptography

[@jamespritchard5862]

Ok, I now actually get how it works now, I have an exam tomorrow so this is in the nic of time! THANK YOU

[@NeerajSharma-oz1mm]

Best explanation I've ever seen. Thanks you so much.

[@sammeson8451]

literally the first video I have liked on youtube ever

[@mar25947]

This was very helpful, thanks! I've been lost on this stuff for about a month in my class.

[@aarushisharma7597]

thank you for explaining it in such simple terms, that really helped me understand this.

[@Nucrickeyy14]

I just wanna say you 'thank you man! You know I was thinking about it for 3 days that how to solve these types of questions and wonder behind the logic of this.

[@bernadettesadile5820]

Many videos are complicated and i cannot understand them properly but in this video i understand it quickly. Thank youuu, keep it up:))

[@EpochIsEpic]

If you can't explain a topic in 5 minutes or less you don't have a good enough understanding of the topic yourself. Wonderfully done!

[@edwardmwape6129]

You have lessened my burden..thank you..

[@duodot]

The wikipedia page on this is a good read. Think of it like a clock, we have 24 hours, but just 12 on an analog clock, so we would say its 5 o'clock, but it could be 05:00 or 17:00, thus 5 and 17 are congruent in mod 12. And thus AM/PM etc etc... You basically create an imaginary limit to infinity where numbers start looping around; like when we say 48 hours or 72 hours, we know how many days that are, because we only have 24 hours in a day, thus 48 hours has to be 2 days. So for example 14 is congruent to 6 in mod 8, because we start counting again at 8.

[@AkhonaNgquba]

Did not need to watch another video after this. Thanks a million

[@liamwoods9677]

You are a king for this.

[@camille7044]

This video is excellent. Thank you for explaining this so clearly!

[@zealous919]

Thanks. Only explanation where it clicked for me

[@SamSam-fp9di]

I thought modular arithmetic was a rocket 🚀 science until I found your video. Now, modular arithmetic is easy peasy like drinking water 😆. Top man, thanks a lot

[@rechargeablefan]

My teacher has 1 hour for this and you explained it in 4 minutes and 47 seconds.

[@jamesbarry2663]

Great video. After looking on Google at explanations of modular arithmetic, to no avail, you're video has helped greatly. Cheers.

[@lauralawrence5718]

Thank you! Your explanation was so much easier than my course material.

[@imaz8952]

Actually your course material is hard

[@tobbymarchal3140]

this the simplest explanation and I love it 😍

[@idreesiqbal561]

Wow, looked so much until I found this. gr8 intro !!

[@samuelrotimi3889]

I really like your video simple and easy to learn I think you just got one more subscriber.

[@paarthj.4479]

Helpful for my math master sessions. Thank you!🎉🎉🎉🎉🎉🎉

[@goncalofreitas2094]

Thank you I didn't know cryptography and now I know it and I know that it's very cool... Thank you again!

[@mirrorballinme744]

is 5 congruent to 1 in mod 2 also or just 3? also thx for the explanation

[@SameerVerma-vt7bg]

Wow i can't believe this is so easy now i realize thank you

[@merakiday1628]

WOW!!!!!I can sleep with a smile ,Finally

[@PraneetCastelino]

Brilliant video, this is really easy to understand.

[@aroonalok]

The best explanation so far. I think it would be better if we could change the symbols and wrote "mod 2" or simply 2 above the congruence symbol. That way things would be much clearer.

[@АлексейНосов-т2г]

Супер. Наконец-то стало понятно что за модули блин тут используются.

[@egmont1113]

i was simply curius about cryptography and i saw this. Had no idea what the f was that until now thanks. (it looked simpliest of them all so i clicked it)

[@oneinabillion654]

Maybe u didn't realise u have the best video. But that's just how it is from my view. You should be very proud of urself

[@AbuSous2000PR]

Sweet ...this is what I was looking for...why it is made difficult Thx man

[@daz7748]

I'm studying for my CISSP cert and the book was terrible in explaining this, thank you for this!!

[@xsytrance175]

Beautiful explanation. Thank you very much!

[@COMB0RICO]

Good teaching. Thanks from Texas!

[@APare-bx2ir]

THIS SAVED MY LIFE THANK U

[@mikearchives]

You could also think of the modular value (is that correct terminology?) as the remainder. 5 in mod 2 would be 1 because 2 goes evenly into 5 twice, meaning the remainder would be 1. 2 goes evenly into 3 once, also meaning that the remainder is 1.

[@learnmathtutorials]

Modular value sounds legit to me, and yes, it comes from the remainder. I will cover that a little later. For now I just wanted to give everyone a visual representation. I've noticed, that for many students, it's all to easy to get lost in the math, and not see the pattern when jumping straight to the remainder, especially when converting negative numbers to "modular values". Thanks for the comment. :)

[@mentalityoverall9250]

'For any programmers' mod div is very helpful when it comes to programming too.

[@alberoDiSpazio]

Are you sure it's not 3(mod 2) = 5(mod 2)

[@alberoDiSpazio]

You know what he's using the Congruence not the Equals.

[@theurbanwolf298]

Albert John Nguyễn cryptography, not mathematics

[@abrarsaad2074]

Your video make me understand modular arithmetic.

[@evifnoskcaj]

Directionality is fascinating.

[@Yue117]

Another good method to explain mod is by using circles (spiral like) instead of an axis, it can be more visual to see the paterns this way

[@prithvisukka9271]

Remainders?

[@fredaashitey2157]

Very easy to understand sir. Thanks a lot

[@clyde__cruz1]

So easy to understand, thanks for the intro

[@edwardkostreski6733]

So normal math is mod ♾️?

[@BhuvanKarthik]

This helped me alot neat clean approach explanation this was helpful thankyou ❤️

[@ajk7151]

awesome video once again. such a simple explanation!

[@itsVollx]

Thank you so much it helped me with programming

[@zanehickox8630]

Damn lesson 2 the one I need

[@shotpoter1453]

helped for university exam,thanks you sir.

[@spencerjames9417]

This explanation is fantastic

[@faizahbegum5257]

just subscribed! amazing video explained so well

[@p.thiru17]

thanks for teaching mod it was really helpful

[@Griiidan]

Thanks for this video! Great explanation :)

[@SenateGaming]

This helped me a lot! Worked for me really well! Thanks!

[@DavidAnatolie]

In my lecture notes, I was given the following definition: a is congruent to b modulo n if and only if n divides a - b. At first I was dumbstruck, but now everything is starting to click. Thanks, and have an excellent day!

[@sreerajdesign1522]

you made my day.....I have struggled with RSA😂

[@learnmathtutorials]

I am happy to have made your day! I would like to make a video on RSA some day.

[@davidwiederman8841]

Thanks so much. Very clear video.

[@rowenarrow]

Great job! Finally it makes sense to me

[@aaryanandaryakhot4422]

Thanks a lot for the intro 😄

[@parfaitatchade961]

Amazing!! Do you know where I can find the Montgomery modular multiplier explanation? Many thanks

[@bartuciftci6550]

The numbers you have specified as mods's (For Example: mod(2)= {0,1}) are actually the remainders of the division done. 5/2's remainder is 1, that is why we place a 1 on top of it.

[@omnnnooy3267]

Amazing explanation, thank you!

[@tangyorangegames7488]

Great tutorial thank you! Finally I understand :D

[@mr.anonymagic4831]

This just blew my mind in so many ways holy fuck!!!

[@josegadelha8271]

Thanks, also excellent to understand the crystal momentum concept from solid state physics 😂

[@tedibeeo8283]

Finally I understand. Thank you!

[@tanvirhasanmonir1627]

Thanks a lot. Finally it makes sense.

[@AverageAlaya]

Thank you was having a crisis due to the fact that all my textbook told me is 1+1=0 now lmao

[@mdmipm]

understand this better than my uni prof

[@adityatiwari5116]

Understood in the first go thanks to you

[@learnmathtutorials]

That's fantastic! Thanks for checking out this lesson! I wish you the best in your studies.

[@rhymerlad9761]

Excellent

[@nihilisticnirvana]

this will help for JEE, thanks