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

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  • Опубліковано 23 лип 2014
  • Modular Arithmetic is a fundamental component of cryptography. In this video, I explain the basics of modular arithmetic with a few simple examples.
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КОМЕНТАРІ • 234

  • @noobsniperxx
    @noobsniperxx 3 роки тому +220

    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.

  • @zachecho9167
    @zachecho9167 8 років тому +141

    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
      @alecmacalpine2513 10 місяців тому

      Bruh I've been scratching my head for ages.

  • @readogamer3515
    @readogamer3515 6 років тому +120

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

  • @ieatpencils
    @ieatpencils 7 років тому +30

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

  • @youtubebero5154
    @youtubebero5154 6 років тому +7

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

  • @kristijanpopcev9996
    @kristijanpopcev9996 6 років тому +12

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

  • @Abdulaziz-fg3mh
    @Abdulaziz-fg3mh 6 років тому +8

    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

  • @lisakinoti1839
    @lisakinoti1839 2 роки тому +6

    Thank you so much! You saved me! I was sitting in discrete math class scratching my head like, "What the hell is this?!?" Most videos I found seemed like they were for people who already understand what is going on. I needed someone to teach me like am learning a new language for the first time. You explained it to me perfectly and now I understand. Thank you!!!

  • @esofialo23
    @esofialo23 7 років тому +23

    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

  • @elmoreglidingclub3030
    @elmoreglidingclub3030 2 роки тому

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

  • @mar25947
    @mar25947 7 років тому +2

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

  • @edieltondantas6084
    @edieltondantas6084 2 роки тому +2

    Thanks for the tutorial! I attended a lecture about modulo arithmatic and the lecturer managed to make such an easy to undestand topic appear to be rocket science

  • @rosemarychidera4643
    @rosemarychidera4643 Рік тому

    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

  • @gregorymorris10
    @gregorymorris10 5 років тому +1

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

  • @hklausen
    @hklausen 4 роки тому

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

  • @Aycore2011
    @Aycore2011 7 років тому +9

    Standing Ovation bro, bloody good explain. Thank you.

  • @audreybruening8612
    @audreybruening8612 2 роки тому

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

  • @NeerajSharma-oz1mm
    @NeerajSharma-oz1mm 3 роки тому

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

  • @russelljazzbeck
    @russelljazzbeck Рік тому

    That number line changed how I understand modulos. Thanks!

  • @aarushisharma7597
    @aarushisharma7597 2 місяці тому

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

  • @camille7044
    @camille7044 8 місяців тому

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

  • @venkateshnarayana9099
    @venkateshnarayana9099 3 роки тому +1

    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👍

  • @hannav7125
    @hannav7125 4 роки тому

    Best video on UA-cam about modular arithmetic thank you sir

  • @woapful
    @woapful 22 дні тому

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

  • @oneinabillion654
    @oneinabillion654 6 років тому

    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

  • @liamwoods9677
    @liamwoods9677 2 роки тому

    You are a king for this.

  • @jamesbarry2663
    @jamesbarry2663 6 років тому

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

  • @sammeson8451
    @sammeson8451 4 роки тому

    literally the first video I have liked on youtube ever

  • @mahmoudjamal1619
    @mahmoudjamal1619 Рік тому

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

  • @Christina-09
    @Christina-09 Рік тому

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

  • @Ali-mi9up
    @Ali-mi9up 4 роки тому +9

    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

  • @graoliveira6688
    @graoliveira6688 Рік тому

    Very clear explanation. Thanks!

  • @AkhonaNgquba
    @AkhonaNgquba 5 років тому

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

  • @zealous919
    @zealous919 2 роки тому

    Thanks. Only explanation where it clicked for me

  • @APare-bx2ir
    @APare-bx2ir 6 років тому +1

    THIS SAVED MY LIFE THANK U

  • @camilomuianga7865
    @camilomuianga7865 Рік тому

    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

  • @Kiirus_pov
    @Kiirus_pov 8 місяців тому

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

  • @COMB0RICO
    @COMB0RICO 6 років тому

    Good teaching. Thanks from Texas!

  • @clyde__cruz1
    @clyde__cruz1 5 років тому

    So easy to understand, thanks for the intro

  • @bernadettesadile5820
    @bernadettesadile5820 3 роки тому

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

  • @MrBeen992
    @MrBeen992 3 роки тому

    The best intro to modular arithmetic

  • @Sarathkumargandreti
    @Sarathkumargandreti 3 роки тому

    Best Introduction for the Modular Arithmetic

  • @xsytrance175
    @xsytrance175 Рік тому

    Beautiful explanation. Thank you very much!

  • @idreesiqbal561
    @idreesiqbal561 7 років тому +2

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

  • @PraneetCastelino
    @PraneetCastelino 4 роки тому

    Brilliant video, this is really easy to understand.

  • @itsvollx9684
    @itsvollx9684 6 років тому +2

    Thank you so much
    it helped me with programming

  • @Mike-lr2bc
    @Mike-lr2bc 9 місяців тому

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

  • @rowenarrow
    @rowenarrow 4 роки тому

    Great job! Finally it makes sense to me

  • @goncalofreitas2094
    @goncalofreitas2094 6 років тому

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

  • @ajk7151
    @ajk7151 4 роки тому

    awesome video once again. such a simple explanation!

  • @omnnnooy3267
    @omnnnooy3267 6 років тому

    Amazing explanation, thank you!

  • @davidwiederman8841
    @davidwiederman8841 Місяць тому

    Thanks so much. Very clear video.

  • @lauralawrence5718
    @lauralawrence5718 3 роки тому

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

    • @imaz8952
      @imaz8952 2 роки тому

      Actually your course material is hard

  • @SenateGaming
    @SenateGaming 6 років тому

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

  • @fredaashitey2157
    @fredaashitey2157 2 роки тому

    Very easy to understand sir.
    Thanks a lot

  • @tedibeeo8283
    @tedibeeo8283 5 років тому

    Finally I understand. Thank you!

  • @zanehickox8630
    @zanehickox8630 3 роки тому

    Damn lesson 2 the one I need

  • @tobbymarchal3140
    @tobbymarchal3140 3 роки тому

    this the simplest explanation and I love it 😍

  • @abrarsaad2074
    @abrarsaad2074 4 роки тому

    Your video make me understand modular arithmetic.

  • @tanvirhasanmonir1627
    @tanvirhasanmonir1627 4 роки тому

    Thanks a lot. Finally it makes sense.

  • @poornimathiru4452
    @poornimathiru4452 7 років тому

    thanks for teaching mod it was really helpful

  • @merakiday1628
    @merakiday1628 6 років тому +1

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

  • @SameerVerma-vt7bg
    @SameerVerma-vt7bg 4 роки тому +1

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

  • @spencerjames9417
    @spencerjames9417 4 роки тому

    This explanation is fantastic

  • @Griiidan
    @Griiidan 3 роки тому

    Thanks for this video! Great explanation :)

  • @tangyorangegames7488
    @tangyorangegames7488 Рік тому

    Great tutorial thank you! Finally I understand :D

  • @ruwandj1733
    @ruwandj1733 Рік тому

    Thankyou great introduction.

  • @aroonalok
    @aroonalok 4 роки тому +1

    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.

  • @BhuvanKarthik
    @BhuvanKarthik 3 роки тому

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

  • @AbuSous2000PR
    @AbuSous2000PR 3 роки тому

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

  • @samuelrotimi3889
    @samuelrotimi3889 4 роки тому

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

  • @paarthj.4479
    @paarthj.4479 Рік тому

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

  • @kevinqwen221
    @kevinqwen221 4 роки тому

    Best ever. Thanks.

  • @faizahbegum5257
    @faizahbegum5257 3 роки тому

    just subscribed! amazing video explained so well

  • @blitzo1160
    @blitzo1160 3 роки тому

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

  • @sebek0311
    @sebek0311 4 роки тому

    Easy to understand thanks

  • @leafdragon94
    @leafdragon94 6 років тому

    Great explanation!

  • @evifnoskcaj
    @evifnoskcaj 2 роки тому

    Directionality is fascinating.

  • @valentinejepkemei149
    @valentinejepkemei149 2 роки тому

    Good work you have really explain well have now understand

  • @Flat1998
    @Flat1998 5 років тому

    Thx. A great video. I understand it now!:)

  • @parfaitatchade961
    @parfaitatchade961 Рік тому

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

  • @alirezam7522
    @alirezam7522 Рік тому

    Great video
    Thank you

  • @mygills3050
    @mygills3050 2 роки тому

    Good introduction!

  • @user-pb9rp1vb4p
    @user-pb9rp1vb4p 2 роки тому

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

  • @agustinlawtaro
    @agustinlawtaro 4 роки тому

    Loco alto video, corta y al pie. Gracias

  • @brellow-416
    @brellow-416 6 років тому

    Loved it!

  • @obakengmothusi9149
    @obakengmothusi9149 2 роки тому

    You are amazing!!!!

  • @adityatiwari5116
    @adityatiwari5116 3 роки тому

    Understood in the first go thanks to you

    • @learnmathtutorials
      @learnmathtutorials  3 роки тому

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

  • @simonhafner4750
    @simonhafner4750 3 роки тому

    Brilliant!

  • @shotpoter1453
    @shotpoter1453 4 роки тому

    helped for university exam,thanks you sir.

  • @mirrorballinme744
    @mirrorballinme744 2 роки тому +1

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

  • @Hellotherewhtsup
    @Hellotherewhtsup 8 років тому +2

    Thank you!!! Really helped.

  • @bartuciftci6550
    @bartuciftci6550 6 років тому

    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.

  • @rhymerlad9761
    @rhymerlad9761 Рік тому +1

    Excellent

  • @woodenstick3517
    @woodenstick3517 Рік тому

    Good work .

  • @duodot
    @duodot 2 роки тому

    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.

  • @daz7748
    @daz7748 3 роки тому

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

  • @snipers1692
    @snipers1692 6 років тому

    First of all ,thank you for this helpful videao,I would like to ask ,if we can do the same process for the rational numbers ?thanks

  • @sophiaeslade
    @sophiaeslade 5 років тому

    So helpful!

  • @SamSam-fp9di
    @SamSam-fp9di 2 роки тому

    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