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
Very well organized video, it shows how much time and effort you took to make it, keep up the good work man!
Thank you! Well explained
That was an amazing explanation. Good job!
wow! great job. thanks for these video. i really helps me in my report...
Great video. Thank you.
Yowwnnn🙂 nice one sir🙂
Excellent
Thank you so much
What software is used to generate mod wheel
@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 :)
aaaaaah, this vid is amazing!!! thank youuu
Clearer than a mountain spring.
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
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.
For 3-20 in mod 5, it should've been 2 or -2 as the remainder and not 3.
@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
Жыл бұрын
@@xanmos i dont get that part because i also got the answer as two
@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
di ko po maintindihan yung sa 3-20. bakit po naging 3 yung remainder?
@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
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
Жыл бұрын
@@gwynethfaner5741 same here. also confused with the 3-20 and his answer being -3
Please help me paano po naging 10 Ang 208÷10=20.8 Hindi po ba bakit 208 naging 10
@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.
11:02 true or false lahat po is False pa check po.Thank you!
@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
2 жыл бұрын
Ay tama pala , nakalimutan ko i subtract pa yung result sa modulo pag negative