Modular Arithmetic and Modulo Congruence

This video is about the following topics:
0:00 Introduction
0:15 Modular arithmetic
02:28 Modulo operations
06:45 Modulo congruence
11:17 Linear equations involving modulo congruence
14:23 Properties of modulo congruence
Various examples are given and explained.

Пікірлер: 27

  • @manuelavendano2199
    @manuelavendano21993 жыл бұрын

    Very well organized video, it shows how much time and effort you took to make it, keep up the good work man!

  • @ilanbar1970
    @ilanbar1970Күн бұрын

    Thank you! Well explained

  • @davidwoznerable6750
    @davidwoznerable67503 жыл бұрын

    That was an amazing explanation. Good job!

  • @maq88
    @maq88 Жыл бұрын

    wow! great job. thanks for these video. i really helps me in my report...

  • @IODell
    @IODell3 жыл бұрын

    Great video. Thank you.

  • @mathkul3t
    @mathkul3t3 жыл бұрын

    Yowwnnn🙂 nice one sir🙂

  • @joypaul340
    @joypaul3403 жыл бұрын

    Excellent

  • @diegoamaya5756
    @diegoamaya5756 Жыл бұрын

    Thank you so much

  • @2kool893
    @2kool8933 жыл бұрын

    What software is used to generate mod wheel

  • @xanmos

    @xanmos

    3 жыл бұрын

    I am using FinalCut Pro X in all my videos. Though the “modular arithmetic wheel/clock” is a series of gif images i built in Powerpoint :)

  • @mariabernardez6345
    @mariabernardez63453 жыл бұрын

    aaaaaah, this vid is amazing!!! thank youuu

  • @monroeclewis1973
    @monroeclewis19732 жыл бұрын

    Clearer than a mountain spring.

  • @AzharKhan-fb6qv
    @AzharKhan-fb6qv2 жыл бұрын

    Hi my questions is that: 10 is congruent to 2mod(4) because 10-2 =8 which is divisible by 4. But 10 and 2 do not have the same remainders. Is’nt this a contradiction. Plz help, i’m stuck

  • @xanmos

    @xanmos

    2 жыл бұрын

    10 and 2 have the same remainder, which is 2, when divided by 4. 10 divided by 4 is 2 remainder 2, while 2 divided by 4 is 0 remainder 2.

  • @reesesashamorito7303
    @reesesashamorito7303 Жыл бұрын

    For 3-20 in mod 5, it should've been 2 or -2 as the remainder and not 3.

  • @xanmos

    @xanmos

    Жыл бұрын

    3 minus 20 is -17… and add 5 multiple times, and you’ll get 3. Not 2. That is why 3 - 20 at modulo 5 is 3.

  • @bridgetesi8935

    @bridgetesi8935

    Жыл бұрын

    @@xanmos i dont get that part because i also got the answer as two

  • @catherinegutierrez2024

    @catherinegutierrez2024

    Жыл бұрын

    you may also apply the concept in determining a modular equation if it's a True congruence or not such that (a-b)/n should result in an integer by trial & error (a - (-17))/5 we can substitute a={0,1,.., n-1} = {0,1,2,3,4} when a= 3: (3 + 17)/ 5 = 4 ( wherein 4 is an integer) therefore a= 3 3=-17mod 5

  • @jezabelespila8419
    @jezabelespila8419 Жыл бұрын

    di ko po maintindihan yung sa 3-20. bakit po naging 3 yung remainder?

  • @xanmos

    @xanmos

    Жыл бұрын

    3 - 20 is -17 So at modulo 5, you just have to keep on adding 5… until you get a number from 0 to 4 And that is 3.

  • @gwynethfaner5741

    @gwynethfaner5741

    Жыл бұрын

    @@xanmos pero magiging 15 po yon pag kineep up ang pag aadd then pag mininus is magiging -2 or 2 kase yon ung remainder?pa reply po thanks po medyo nalito lng po

  • @reesesashamorito7303

    @reesesashamorito7303

    Жыл бұрын

    @@gwynethfaner5741 same here. also confused with the 3-20 and his answer being -3

  • @marilynvlogsss5378
    @marilynvlogsss53782 жыл бұрын

    Please help me paano po naging 10 Ang 208÷10=20.8 Hindi po ba bakit 208 naging 10

  • @xanmos

    @xanmos

    2 жыл бұрын

    Remember that modulo arithmetic is the Remainder, so 208 mod 10 is 8 because 208 when divided by 10 gives us a remainder 8.

  • @little_paul93
    @little_paul932 жыл бұрын

    11:02 true or false lahat po is False pa check po.Thank you!

  • @dr024

    @dr024

    2 жыл бұрын

    -17 is congruent to 10 mod 3 because -17 and 10 have the same remainder (1) when divided by 3 85 is congruent to -5 mod 9 because 85 and -5 have the same remainder (4) when divided by 9. 80 is not congruent to 12 mod 8, because 80 has a remainder of 0, while 12 has a remainder of 4 when divided by 8.

  • @little_paul93

    @little_paul93

    2 жыл бұрын

    Ay tama pala , nakalimutan ko i subtract pa yung result sa modulo pag negative

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