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find inverse in modular arithmetic-how to find inverse modulo m

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  • čas přidán 30. 07. 2017
  • find inverse in modular arithmetic
    This video will teach you how to find inverse in modular arithmetic very easily and quickly, this inverse is also called multiplicative inverse
    This method uses Extended Euclidean algorithm to find the multiplicative inverse.
    Finding the inverse of given number in modular arithmetic is useful while doing encryption and decryption in HILL cipher algorithm.
    Every number do not have its equivalent inverse in modular operation or modular arthimetic, sometimes some number do not have its inverse, using this method you can easily find out whether the given number has its inverse or not very quickly and easily.
    Multiplicative inverse in cryptography is very important and useful concept.
    Modular inverse is also known as Modular reciprocal.
    Modular arithmetic is the part of sub part of finite mathematics.
    The method shown in this video is fastest way to find modular inverse.
    find inverse in modular arithmetic

Komentáře • 105

  • @naveengorojanam7999
    @naveengorojanam7999 Před 5 lety +12

    This is a Brute Force approach.
    Extended Eucledian Algorithm gives you results very easily. please change the title

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 5 lety +2

      Naveen Gorojanam In some cases this method gives quick results as compared to Euclidean algorithm. I am going to upload Euclidean algorithm video soon so stay connected by Subscribing to my CZcams channel, Share it with your friends so that I can reach maximum number of students and help them to score better in their exams. Thanks

  • @muhammadshakeel722
    @muhammadshakeel722 Před 6 lety +2

    like it sir,,,, it's the simple way of finding inverse of a number in mod 26.........tnks

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 6 lety

      I am happy to know that my channel is helping you, please share my channel with everyone you know so that i can reach maximum number of viewers. Thanks

  • @srushtijansari1953
    @srushtijansari1953 Před 3 lety

    Jansari srushti pravinkumar
    Thank you sir for this easy technique.. It's really very helpful in decryption of hill cipher

  • @shamimakhter3069
    @shamimakhter3069 Před 6 lety

    Hi Any Lec video for computing inverse for special module set in terns of n ....

  • @tharushirodrigo4926
    @tharushirodrigo4926 Před 3 lety +3

    At last found the video...thanks!!

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 3 lety

      Tharushi Rodrigo I am Happy to know that my CZcams channel is helping you, I really appreciate your kind words which motivate me to upload more and more such useful video on my channel, I request you to share my CZcams channel and this video with everyone you know so that I can reach as many students as I can and help them to score better in their exams.

  • @churagajyu5100
    @churagajyu5100 Před 3 lety +3

    Hi, I tried using the method for multiplicative inverse of 54 mod 61. Howerver, I couldn't easily find out. How would you do to solve this problem?

  • @srushtisatardekar6659
    @srushtisatardekar6659 Před 5 lety

    Thank you Sir, it was so much helpful!!!!!!!

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 5 lety

      Thanks for your words of appreciation
      Subscribe and Share my channel , I want to help as many students as I can so I request you to share my CZcams channel as much as possible with your friends , classmates and everyone you know so that I can help them to score better in their exams.

  • @kdramacuties1007
    @kdramacuties1007 Před 5 lety

    What about inverse of a even number mod 26?

  • @melvinsebastian8989
    @melvinsebastian8989 Před 5 lety +3

    Thank you so much. Awesome video

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 5 lety

      Nier Ghost Subscribe and Share my channel , I want to help as many students as I can so I request you to share my CZcams channel as much as possible with your friends , classmates and everyone you know so that I can help them to score better in their exams.

    • @vikrammehta5874
      @vikrammehta5874 Před 5 lety

      @@SRCOMPUTEREDUCATION why are u not uploading any videos

  • @pavan.kumar.n
    @pavan.kumar.n Před 6 lety +1

    What if its 9 mod 120? Will you keep checking for all numbers btw 0 and 120?
    But it takes too much time

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 6 lety +1

      Please watch the video, i had already told you a trick to guess around the value, subscribe to my channel and also click on bell icon so that you can get notified whenever i upload new video, please share my video with your friends so that i can reach maximum number of students

    • @pavan.kumar.n
      @pavan.kumar.n Před 6 lety

      SR COMPUTER EDUCATION okay

    • @solomonalemayehu1463
      @solomonalemayehu1463 Před 5 lety +1

      1/9=0.11111 then multiply by 26 = 2.8888 near to 3. others in the same mode okayyyy

  • @rosalina1180
    @rosalina1180 Před 4 lety +2

    Thank you
    And
    God bless you

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 4 lety

      Share and Subscribe my channel so that I can help as many students as I can.

  • @OluwadamilareEzekiel
    @OluwadamilareEzekiel Před 5 měsíci

    Thank You for this. It works for small numbers.
    I am not sure this method work with very large numbers. Lets say mod(199898). COunting from 1 will be too much of an hassle.

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 5 měsíci

      Yes, you are right, but in exams usually you do not get such big numbers

  • @divyashirisha9266
    @divyashirisha9266 Před 5 lety

    If inverse of some positive number in mod 26 cannot be one na how can we find for those

  • @alexliu5979
    @alexliu5979 Před 2 lety +1

    You’re the best

  • @sialuk85
    @sialuk85 Před rokem

    i have seen you calculating the 441mod 26 = 25 . But in the previous question it is 1/441 = 441-1 ? how does one calculate 441-1 mod 26 ?

    • @sialuk85
      @sialuk85 Před rokem

      441 raised to power -1

    • @cradleofrelaxation6473
      @cradleofrelaxation6473 Před rokem

      The answer is the same = 25.
      The power(-1) is telling you that you’re looking for the inverse!!

  • @ahmedmutalemwa311
    @ahmedmutalemwa311 Před 6 lety

    I have given matrix with determinant of 2 which has no multiplicative inverse. What can I do?

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 6 lety

      Ahmed Mutalemwa In exam for solving hill cipher example, you will always get key which has its inverse value, Subscribe to my channel and click on bell icon to get notification whenever I upload new video so that you will never miss my video. Share my video with all your classmates. Thanks

  • @theunleashedbeast6433
    @theunleashedbeast6433 Před 5 lety

    Please tell me the inverse of 18 with solutions

  • @johncantwell317
    @johncantwell317 Před 2 lety

    if the number doesn't have an inverse mod 26, how am I supposed to figure out the inverse key?

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 2 lety

      It is not possible , in exam you will never get questions like this, if you get then you can write that it is not possible

  • @triples2961
    @triples2961 Před 7 měsíci

    Sir how to easily find 7 inverse in mod 160

  • @bryanyadav3384
    @bryanyadav3384 Před 5 lety +1

    Very simple and very effective hats off to you brother!

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 5 lety

      Bryan Yadav I am happy to know that you are liking my CZcams channel videos.Subscribe and Share my channel , I want to help as many students as I can so I request you to share my CZcams channel as much as possible with your friends , classmates and everyone you know so that I can help them to

  • @deeproy7292
    @deeproy7292 Před 5 lety +2

    thank you

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 5 lety

      Please Subscribe and Share my channel so that I can help as many students as I can, Thanks

  • @fitwithAnany
    @fitwithAnany Před 5 lety

    agar kisi ka determinant negative aata hai toh uska inverse kese cal krenge with mod 26 se...

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 5 lety

      Chaser Anany This video is related to Hill cipher, In Hill cipher you will never get -ve value of determinant. Subscribe to my channel and also click on bell icon so that you do not miss any of my video. Share my channel with your classmates and everyone you know so that I can reach as many viewers and help them to score good in their exams. Thanks

  • @mathematical_fun_with_Sumbel

    great sir

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 4 lety

      Thanks for your words of appreciation
      Subscribe and Share my channel , I want to help as many students as I can so I request you to share my CZcams channel as much as possible with your friends , classmates and everyone you know so that I can help them to score better in their exams.

  • @ankurkhanna2625
    @ankurkhanna2625 Před 4 lety

    what about mod of inverse of negative number ?

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 4 lety

      This video is uploaded in reference to Hill Cipher, In Hill cipher you do not need to find inverse of -ve number, infact in modulo arithmateic for Cryptography we usually do not use -ve. I hope I had cleared your doubts, if you have any other queries I would be happy to solve your doubts. Subscribe and Share my videos with everyone you know so that I can reach as many students as possible and help them in their studies, See you soon in next video.

  • @sumayyafatima9575
    @sumayyafatima9575 Před 3 lety

    For 2039 what will be inverse

  • @inderjeetsingh7943
    @inderjeetsingh7943 Před 6 lety

    sir why donot reduce 441mod(26)

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 6 lety

      Because here we need to find Inverse of 441 in mod 26 operation . This method which I have shown is extremely useful to solve Hill Cipher Examples. I want you and every other students to score good marks in exam so I request share my CZcams channel link with all of your friends and everyone you know so that they can also get benefit of my CZcams channel. Thanks

  • @rajshekharsalimani9878

    What if number is other than 441 and why did he start directly from 25..

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 5 lety

      rajshekhar I had already taken two values, and shown in detail how to solve for other numbers please watch the complete video again without skipping , you will clearly understand and all your doubts will be solved , even if you have any doubt then I would be happy to solve your doubts. please subscribe and share my channel with everyone you know so that I can reach as many students as I can and help them to score better in their exams. Thanks

  • @seharrubab3096
    @seharrubab3096 Před 2 lety

    Assalamualaikum sir g sir many ap ki sari videos deakhi a bohat achy sy samj ai us k liye thanks but sir is video mein mujy 441*25mod26=1 ki samj ni ai k wo one kessy ata hamy kessy pata chaly ga k udar 25 sy hi multiply Karna a plz thora explain kar dain

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 2 lety

      mod find krne ke liye ek alg video bnaya he dekho, fir is video ko dekho aapko sb pta chl jayega

  • @megalolly6140
    @megalolly6140 Před 4 lety +1

    Hey! Great video, I am really stuck though! I am decrypting and have the discriminant of -416 and now need to apply inverse in mod 26 (i am following you other videos) but I can't seem to turn it. I have already found adj K so i just need to find this and multiply them :/

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 4 lety

      Mega lolly Every number do not have its inverse , so there are some rules to know whether number has Inverse or not, post your answer I would help you, Share my CZcams channel with every you know so that I can every students help them to score better in their exams, Subscribe and Stay Connected Many new videos are going to be uploaded, Click on bell icon so that you can immediately get notification when I upload any new videos

    • @megalolly6140
      @megalolly6140 Před 3 lety

      @@SRCOMPUTEREDUCATION im trying to decrypt a code, i have to find mod 26 of -416, (inverse mod 26 of it). I already encrypted it and I am now decrypting the same message to show it can do both. If i can't find mod 26 of it is it not decryptable??

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 3 lety

      Upload Question in the comment box, yes in Hill Cipher sometimes you get some questions in exam which can be only encrypted and not decrypted.

    • @megalolly6140
      @megalolly6140 Před 3 lety

      @@SRCOMPUTEREDUCATION im decrypting, (s a f s k m r l q) using a 3x3 matrix keyphrase (getoutnow) ( 6, 4 19, 14 20 19 13 14 22)

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 3 lety +1

      Mega lolly Also send encryption Question, I will surely help you out do not worry, is this the question asked in Exam paper

  • @nehaannu7496
    @nehaannu7496 Před 5 lety

    Sir can u explain 441 inverse mod of 26

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 5 lety

      neha annu I had already explained this please watch complete video again if you have any doubt then I would be happy to solve your doubts. Subscribe and Share my channel with your classmates , friends and everyone you know so that I can reach maximum number of students and help them to score better in their exams. Thanks

    • @jimbobago
      @jimbobago Před rokem

      @@SRCOMPUTEREDUCATION You didn't "explain" anything. You simply proclaimed that 25 is the inverse without any explanation on how you got that number, and without even verifying that it's the right answer.

  • @inderjeetsingh7943
    @inderjeetsingh7943 Před 6 lety +1

    is it short trick ???

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 6 lety

      Inderjeet Singh Indeed it is , It save lot of your time in Exam, If you are facing any problem let me know I will solve your problems.

  • @mariamalqubaisi6259
    @mariamalqubaisi6259 Před 4 lety

    I LOVE YOU

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 4 lety

      mariam alqubaisi Keep Learning and Keep Growing.
      Subscribe and Share my channel , I want to help as many students as I can so I request you to share my CZcams channel as much as possible with your friends , classmates and everyone you know so that I can help them to score better in their exams.

  • @ibrahimalhammadi1846
    @ibrahimalhammadi1846 Před 5 lety +1

    Thank you brother

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 5 lety

      Ibrahim Al Hammadi Subscribe to my CZcams channel and also click on bell icon so that you can get notified whenever I upload any new videos, Please share my channel with your friends, classmates, relatives and everyone you know so that I can help as many students as I can. Thanks see you soon in my next video.

  • @Carl529
    @Carl529 Před 5 lety +1

    Saved my life

  • @areebaiqbal5111
    @areebaiqbal5111 Před 3 lety

    What's the inverse of 2?

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 3 lety

      Every number does not have inverse in mod 26 operation, try to follow my method shown in this video and you will able to find inverse if its exits, Share and Subscribe my CZcams channel with everyone you know so that I can reach as many students as I can.

  • @itstina1802
    @itstina1802 Před 7 lety +2

    -89 ka kaise kare. its negative na

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 7 lety

      Chitrita Mukherjee you have to make the number positive then find the inverse of that positive number.
      If you are having any doubt I would be happy to help and solve your query.
      Share this video with your friends so that they can also know how to do encryption and decryption using Vernam Cipher. If you are new to my channel subscribe to my channel because I am uploading video related to all cipher technique. Visit the playlist and watch all video to get clear idea about all cipher techniques.

    • @itstina1802
      @itstina1802 Před 7 lety

      SR COMPUTER EDUCATION thank you so much

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 7 lety

      I hope my videos are helping you, if you think this video has been helpful to you, share it with your friends so that they can also get benefit of my channel

  • @inderjeetsingh7943
    @inderjeetsingh7943 Před 6 lety +1

    thank u sir

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 6 lety

      Welcome Inderjeet Singh , Stay Connected . Many more useful videos are coming soon , Meanwhile you can go through my Ethical Hacking Playlist

  • @sialuk85
    @sialuk85 Před rokem

    i thought 441^-1 mod 26 = 17 . if u multiply 17X26=442 , 442 divided by 26 = 17 rem 1

    • @jimbobago
      @jimbobago Před rokem

      You're doing the wrong arithmetic. To test to see if you have the right choice for the inverse you take the number you're testing (441) times your inverse (25) and divide by the modulus (26). The remainder of that division must be 1.

  • @kukichauhan4149
    @kukichauhan4149 Před 3 lety

    Is it a short trick?

  • @sagarshah9957
    @sagarshah9957 Před 7 lety +1

    sir, waiting for hill cipher..

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 7 lety

      Every possible example and details of Hill cipher will be upload within 3 or 4 days. Keep visiting the channel for getting updates

  • @hamzasiddique6870
    @hamzasiddique6870 Před 6 měsíci

    I found very simple solution for finding mod of any number like he skiped how he got 212 mod 26 = 4 when over mode always comes 5
    Answer is simple watch this short clip solve it on calculator

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 6 měsíci

      I have not skipped anything , watch this video completely I had already given video reference in which I showed how to calculate mod using calculator in seconds, below is the link of the video
      czcams.com/video/tski1ku6Kik/video.html

  • @indmwc1368
    @indmwc1368 Před 5 lety

    👍👍👍😎

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 4 lety

      IND MWC 16MIS1084 Subscribe and Share my channel , I want to help as many students as I can so I request you to share my CZcams channel as much as possible with your friends , classmates and everyone you know so that I can help them to score better in their exams.

  • @surebhargava2669
    @surebhargava2669 Před 6 lety

    what about 4 mod 26

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 6 lety

      Answer is 4 , watch my caesar cipher you will easily understand why the answer is 4, subscribe and share my channel so that i can reach maximum number of students and help them to score better in exams. Thanks

    • @surebhargava2669
      @surebhargava2669 Před 6 lety

      sorry!!! I actually want the inverse of 4 in mod 26.

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 6 lety

      Sure Bhargava Every number do not have inverse , 4 is not having any inverse value in mod 26

  • @del7920
    @del7920 Před 6 lety +1

    Thankyou so so so much!

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 6 lety

      If my channel is helping you then please help my channel to reach maximum number of students by sharing my channel with everyone you know so that everyone can get benefit of my channel , subscribe to my channel and also click on bell icon so that you get notified whenever i upload any new video. Thank you

  • @mirzahyderali2215
    @mirzahyderali2215 Před 5 lety

    43 mod 26??

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 5 lety

      please watch the video again and you can easily solve this , it may be possible that you cannot find inverse, i had also discussed this in this video in detail

  • @shivamthaman7081
    @shivamthaman7081 Před 6 lety

    do it for 555 , not a fool proof solution.

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 6 lety

      Shivam Thaman You will get answer 3 , Watch my video again very carefully and I am sure you will find the answer very easily , If you have any doubt then I will be happy to solve. Subscribe and Click on bell icon so that you get notified whenever I upload any new video. Share my channel with everyone you know so that they can also get benefit of my CZcams channel

    • @chethu1432
      @chethu1432 Před 6 lety

      for 555 I got answer is 17,but ur saying that it is 3...please tell me where I met wrong...

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 6 lety

      Yes answer is 3, I had taken 26 as a modular base, you might have taken some another so you are getting 17 as answer, solve it again after watching my video completely . Share my channel with everyone you know so that they can also get help from channel to learn about different topics . Thanks

  • @ahmedmustafa4501
    @ahmedmustafa4501 Před 6 lety +5

    What about inverse of a negative number mod 26?

    • @SRCOMPUTEREDUCATION
      @SRCOMPUTEREDUCATION  Před 6 lety +1

      Ahmed Mustafa You have to convert negative number to positive and then follow my steps , I want to channel to reach everyone who is eager to study from online so i request you to share my CZcams channel with everyone you know, Subscribe to my channel and also click on bell icon to get notifications whenever i upload any new video