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Boolean Algebra & Redstone Logic Gates - LRR #3 

mattbatwings
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In today's episode, I go over the basics of boolean algebra and their corresponding redstone logic gate implementations.
Patreon: / mattbatwings
Discord: / discord
My socials: linktr.ee/mattbatwings
My texture pack: modrinth.com/resourcepack/mat...
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Boolean Algebra Wikipedia Page en.wikipedia.org/wiki/Boolean...
More on Logic Gates • Understanding Logic Gates
Crash Course video on these topics • Boolean Logic & Logic ...
Solutions to the Expressions:
A | B | A v !B
0 | 0 | 1
0 | 1 | 0
1 | 0 | 1
1 | 1 | 1
A | B | !A ^ !B
0 | 0 | 1
0 | 1 | 0
1 | 0 | 0
1 | 1 | 0
A | B | C | !(A v (B v C))
0 | 0 | 0 | 1
0 | 0 | 1 | 0
0 | 1 | 0 | 0
0 | 1 | 1 | 0
1 | 0 | 0 | 0
1 | 0 | 1 | 0
1 | 1 | 0 | 0
1 | 1 | 1 | 0
-------------------------
Want to get more involved in the logical redstone community?
Learn Logical Redstone! • Logical Redstone Reloaded
Open Redstone Engineers (ORE): openredstone.org/
0:00 Introduction
0:40 Boolean Algebra Overview
1:17 NOT
2:17 OR
3:05 AND
3:36 Connection to English
4:09 Laws
5:22 Analyzing an Expression
7:20 XOR
8:20 NOT Gate
9:00 OR Gate
9:31 AND Gate
11:14 XOR Gate
12:46 Sentiment
13:43 NOR, NAND, XNOR
15:08 Subscribe!
Music (in order):
LitKidBeats - Good Vibes • [FREE] Happy Type Beat...
Mokka - Spicy Cream • (No Copyright Music) F...
Harris Heller - Golden Age • Golden Age
Harris Heller - Streamline • Streamline
LuKremBo - Biscuit • (no copyright music) l...
Infraction - Photograph • Vlog lo-fi Anime Fashi...
LAKEY INSPIRED - Chill Day • LAKEY INSPIRED - Chill...
Harris Heller - Guilty Spark • Guilty Spark
Harris Heller - In My Shadow • In My Shadow
PRNV - Happy High • Happy High || happy lo...
Creo - Place On Fire • Creo - Place On Fire

Игры

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10 июн 2024

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Комментарии : 400   
@EikirohichiReal
@EikirohichiReal Год назад
Now i Love mathematics And Redstone Study :'1
@underdeveloped_loser
@underdeveloped_loser Год назад
what about the buffer tho?
@underdeveloped_loser
@underdeveloped_loser Год назад
*the buffer gate
@EikirohichiReal
@EikirohichiReal Год назад
@@underdeveloped_loser no im not ready for that :
@pikazap6672
@pikazap6672 Год назад
No
@lolitahare3032
@lolitahare3032 8 месяцев назад
Just wanted to redstone, learned computer science.
@bArium5656
@bArium5656 Год назад
This guy and Sebastian Lague have beautifully explained Boolean algebra and logic gates. Wonderfully done!!
@krozareq
@krozareq 11 месяцев назад
Sebastian is a legend. His Digital Logic Sim is amazing for playing with Redstone circuits (or even IRL on breadboards)
@MauritsWilke
@MauritsWilke Год назад
Love your videos! A small tip: when you are showing things (like the truth table for A NOT A), use f3+c to copy your location and angle to your clipboard so that you can teleport back to the exact same spot which I think will result in smoother cuts
@sleepingpanc
@sleepingpanc Год назад
🤣
@Dimitri_gdr
@Dimitri_gdr Год назад
That's some advance level stuff lol
@hanqnero
@hanqnero Год назад
Oh, that's useful, thank you
@uroojfatima6456
@uroojfatima6456 Год назад
Scaaaaaaaaaaaammmm
@SS____________
@SS____________ 10 месяцев назад
I might be remembering this wrong, but doesn’t that keybind just crash your game?
@wilb0-
@wilb0- Год назад
Are you planning on participating in SoME 3? I really think you'd do great. Otherwise, I appreciate the quality of the content you do make! I already understand most of the concepts you've already taught, but I have learned new insights and am still captivated.
@azteriaaa
@azteriaaa Год назад
some 3 will be a thing?
@hanqnero
@hanqnero Год назад
​@@azteriaaa it has already been announced
@HomieSeal
@HomieSeal Год назад
That would be genuinely really cool, and he could probably score quite highly despite it being minecraft lmfao
@epixiel9993
@epixiel9993 9 месяцев назад
nice it happened
@PlayerOfCeleste
@PlayerOfCeleste 9 месяцев назад
@@epixiel9993 what i was thinking
@finitetimeonearth
@finitetimeonearth Год назад
This is the first time I've heard about boolean algebra! Definitely saves a lot of headaches trying to understand schematics. And the fact that there are online simplifiers is just amazing!
@harmstrijbosch4578
@harmstrijbosch4578 Год назад
Ill be studying electrical engineering next year so this will come in very handy 🙂
@samuelowens000
@samuelowens000 Год назад
I just graduated in electrical engineering less than a month ago. You'll definitely experience logic gates, as well as circuits, amplifiers, EM waves, signals, all sorts of fun stuff! The major is conceptually and math heavy, but a blast. Hope you enjoy it!
@GalaxyCosmo7
@GalaxyCosmo7 Год назад
Good luck!
@a.b3203
@a.b3203 4 месяца назад
@@samuelowens000hi, I’m interested in EE but I’m not experienced with coding or programming. Is it a big part of the course? Otherwise I’ll do ChemE.
@Immadeus
@Immadeus 2 месяца назад
@@a.b3203 There's a little bit of programming in EE, but depending when you chose to specialize in, you may need very little programming. If you're like me and choose to go into computer engineering, you will need a lot of programming classes.
@lalosalamance1281
@lalosalamance1281 Месяц назад
@@a.b3203there’s def some, but it’s packed into your course-load. You don’t need any prior programming knowledge to get through it. You will learn to code and in my opinion it’s an absolute blast. I prefer it over a lot of my other classes. I’m not EE but a computer engineer. Very similar track tho.
@potatdev
@potatdev Год назад
Your lessons should be shown in schools!
@arturmg2068
@arturmg2068 Год назад
man, here in Brazil ive learned it in my school
@potatdev
@potatdev Год назад
@@arturmg2068 that's AWESOME!!!
@samwarren6008
@samwarren6008 3 месяца назад
I know my old computer science teacher would use this person's videos if she knew about them.
@bryceblazegamingyt9741
@bryceblazegamingyt9741 9 месяцев назад
This is literally a great way to learn real life computer science. Taking an AP course at school took so long, but it was worth it to understand the deep down way that computers work. I already knew programming and higher level things. But I learned so much about how computers work at the lowest level possible :3 ty for this amazing series which is actually teaching people real life things in the fun world of minecraft
@michaelcreates2222
@michaelcreates2222 3 дня назад
I was scared of large redstone builds but I’m learning and I’m invested in this series. Keep up the good work :)
@James_Kosmo
@James_Kosmo Год назад
Dude very cool series. I found your channel a while ago and every video is so exiting!. Sadly i dont have that much time to see this whole video now but i will be coming back to it, although i know this stuff, it is still good to go back to the basics and see how people explain them and you did a very good job!. See you around.
@WinXPsp.3
@WinXPsp.3 Год назад
<a href="#" class="seekto" data-time="550">9:10</a> Yes, this is true with real wires too, but it's not really used because you can have signals going backwards and breaking things. This is true in redstone as well, I just haven't seen it mentioned as much.
@Jmcgee1125
@Jmcgee1125 Год назад
Yup, wired OR gate. If you need to avoid that in redstone, you can abuse the fact that signals cannot travel downwards on glass, but can go up. No need to introduce delays with repeaters.
@theseangle
@theseangle Год назад
Can't you use diodes IRL?
@WinXPsp.3
@WinXPsp.3 Год назад
@@theseangle yeah, but I don't think that's normally how it's done(possibly because of the voltage drop across a diode)
@matthias916
@matthias916 Год назад
Isn't it used in AC?
@WinXPsp.3
@WinXPsp.3 Год назад
@@matthias916 could you elaborate?
@lime-ky5tm
@lime-ky5tm 4 месяца назад
Someone who has struggled with math his entire life just understood this entire video Matt I hope you know that
@AnimilesYT
@AnimilesYT Год назад
I can see this video being used in university for programming. It's extremely well explained!
@WarlordEnthusiast
@WarlordEnthusiast 10 месяцев назад
Not really necessary, we covered algebraic logic in the computer hardware module. It covered almost everything in this video and was probably the easiest module overall.
@brettgt40
@brettgt40 10 месяцев назад
I think a good sign that you're doing a good job is that before I watched any of these videos, I had no idea what I was doing with redstone or circuitry in general. Managed to figure out the AND gate just by what you explained. Keep up the good work, man
@quantumgaming9180
@quantumgaming9180 Год назад
400 views in 8 minutes??? Man, your community sure loves you
@morveman_yt9567
@morveman_yt9567 Год назад
One thing I learned in school where talking about Bool algebra is that the AND is a multiplication (and that make sense since multiplying by 0 the output is 0), the OR being + and that also make sense if we say that 1+1=1… else that was a great video !!
@echoes6092
@echoes6092 Год назад
You can also think of OR as MAX and AND as MIN ^^
@user-fp7jz4ot6f
@user-fp7jz4ot6f Год назад
@@echoes6092 I tried doing this with 0-9 and - MIN(x, y) or - MAX(x, y) not - 9-x
@hobo7007
@hobo7007 8 месяцев назад
The symbols in the video are rooted deeper in mathematics and logic, the common symbols in computer boolean algebra application would be + and * for OR and AND while NOT commonly is denoted by apostrophe. A + B'C , A OR B NOT AND C
@damianzieba5133
@damianzieba5133 2 месяца назад
​@@user-fp7jz4ot6f so what does xor gate do in decimal system?
@mitchratka3661
@mitchratka3661 11 дней назад
Yea I was gonna comment something similar, I'm pretty sure the v operators for and and or are just for symbolic logic in general, while the + and * are specific for boolean algebra
@portal6347
@portal6347 Год назад
Fun fact! For DeMorgan’s Law, a common mnemonic is “Break the line, change the sign.” This is used because an overline is another symbol for NOT, so !(A & B) = !A v !B.
@vampire_catgirl
@vampire_catgirl 9 месяцев назад
So far I'm really loving this is series, it's much easier to follow along with than the original
@dannykemper4784
@dannykemper4784 9 месяцев назад
Such an amazing video, absolutely clear and precise. It was easy for me to understand even though I am not that good at figuring things out!
@timpie9346
@timpie9346 5 месяцев назад
If I was a maths teacher I would just watch your videos in class (or watch them in preparation). I have experienced so many teachers and even profs making a complicated mess out of these topics giving me a rough time wrapping my head around, though it's really not that difficult. Your explanations are brilliant.
@genericweeb6324
@genericweeb6324 4 месяца назад
No joke, I literally realized de Morgan's law (not knowing that's what it was) when you showed the truth tables, wrote some simple code to test it, realized it was correct, and unpaused your video to you telling me what I just did has a name
@brennanstoyshop9746
@brennanstoyshop9746 4 месяца назад
even with only the first three episodes I feel like im getting better at Redstone so far this series has been so helpful tysm
@user-sx4oq5wl6j
@user-sx4oq5wl6j Месяц назад
for the xor gate with comparators, if you just get rid of the block and have to redstone out the back it gives a much longer signal strength, love this series learned a lot!
@ananasanimator6049
@ananasanimator6049 Год назад
я люблю смотреть твои видео! Благодаря тебе, впервые узнал о двоичном сумматоре)
@bentory2002
@bentory2002 Год назад
Amazing explanations again, I would have loved it if a video like this existed when I learnt boolean algebra at Uni
@flexico64
@flexico64 8 месяцев назад
I love your style of writing out info and math in blocks~
@liamheinrich7322
@liamheinrich7322 2 месяца назад
You explained it so good!
@SmoothBeans2020
@SmoothBeans2020 Год назад
I used to do alot of piston related mechanisms and now as I'm watching ur vids I can see how compact I can make things!
@CricketEdittzz580
@CricketEdittzz580 2 месяца назад
THANK YOU SO MUCH BRO not only you helped me understand redstone better u also made computer science at school make way more sense!
@user-of7mk4bm9e
@user-of7mk4bm9e Месяц назад
you are a incredible teacher
@TheeSlickShady
@TheeSlickShady 4 месяца назад
Incredibly well-explained 🏆 Thank you Good Sir 🎩
@citizeninsane8575
@citizeninsane8575 Год назад
LOVE this series Matt
@MathIsBestest
@MathIsBestest 2 месяца назад
This is one of the most clear explanations of logic gates I've ever seen, well done! Side note: I respect you so much more now... you used an awesome Creo song for your outro XD
@kyh148
@kyh148 Год назад
Can't wait for the next episode!
@madladam
@madladam 5 месяцев назад
I understand redstone pretty well but I have a very basic understanding in computers. Great videos and i can't wait to watch them all!
@Pritam252
@Pritam252 Год назад
Wow, cannot believe it, i saw the video within 21 minutes, good thing subscribed xD.
@warlordmain5084
@warlordmain5084 5 месяцев назад
This is absolutely fascinating to me. I’m a philosophy major and intro to Logic was a mandatory class. The fact the the logic system Aristotle used in Ancient Greece is now used in programming is amazing. It’s also nice that this video was more of a refresher course for me.
@OrdinarySonicfanMmKay
@OrdinarySonicfanMmKay Год назад
I already love math, thx for making me love it even more
@maxien101
@maxien101 5 месяцев назад
This was amazing, its so funnn
@Danieltron
@Danieltron Год назад
Great video! If you ever dare to make a video teaching the logic on how to convert a real code into logic gates like that, I'd be astonished!
@TheBees23
@TheBees23 Год назад
This was a super cool lesson!
@unidentifiedperson1357
@unidentifiedperson1357 Год назад
i figured out the and gate using the demorgan's law you taught us! it made me feel so smart.
@flyinyoku3543
@flyinyoku3543 Год назад
This video is so helpful. I think it might've been easier to use X', XY, X+Y, etc, so it's easier to understand especially for people unfamiliar with boolean algebra.
@3umemo
@3umemo 10 месяцев назад
I love this channel.
@AsilarWindsailor
@AsilarWindsailor 2 месяца назад
This is useful for even just electronics and computer science. I think the Redstone laid out next to the Truth Tables really helps visualize how it works
@VeryCoolMinecraftGamer00
@VeryCoolMinecraftGamer00 7 месяцев назад
Appena iniziata la prima superiore informatica e mi stai aiutando molto
@Diego-mg5nv
@Diego-mg5nv Год назад
Nice video, keep them up!
@tech-boy334
@tech-boy334 10 месяцев назад
As a learning programmer, you explained this with ez!!! Amazing "tutorial"/explanation
@aaryananand7288
@aaryananand7288 Год назад
There is also another cool way of looking at Boolean algebra! We can also approach it from set theory and probability, where we would represent the "and" operator as a intersection of two sets, and the "or" operator as the union of two sets, with each set representing a bit. Which would mean that the probability of finding a value in the union or intersection will be the and or or operator of the two variables in the sets! Quick note : the symbol for union and intersection very closely resemble that of the and and or operators.
@RedLed.
@RedLed. 14 дней назад
+0001 sub bro is better then any math teacher really like your channel wow please post more (i really liked the AI of your last vid)
@ARealLemonLime
@ARealLemonLime Год назад
amazing video, thanks!
@ludsonalmeida1844
@ludsonalmeida1844 Месяц назад
Such a great video
@nazirregims1367
@nazirregims1367 10 месяцев назад
I tried Boolean algebra with a few really simple circuits and it made them complicated but when I tried it with complicated ones it made it simpler.weird how that works. W vid.
@khalief_.
@khalief_. Год назад
I love this series
@aleknjejenja5903
@aleknjejenja5903 6 месяцев назад
This is literaly just computer sience and I love it.
@guillaume6373
@guillaume6373 Год назад
Awesome stuff
@D_Quinn
@D_Quinn Год назад
In every single one of our computing classes we use A̅ for "not A", + sign for "or" and mutiplication for "and", that way you can stitch them together as A̅B̅C̅DE for "not ABC and DE". An XOR gate for example; A⊕B = AB̅ + A̅B meaning "A XOR B = A and not B or not A and B"
@UnluckyLeo1
@UnluckyLeo1 2 месяца назад
I LOVE THIS ITS SO FUN
@SlimyCatMc
@SlimyCatMc 4 месяца назад
This is the first thing I learned with logic.
@nazirregims1367
@nazirregims1367 10 месяцев назад
Thank you, now I got maths^redstone knowledge in my brain(really I appreciate it thank you)
@mrjson3039
@mrjson3039 Год назад
WOW! Minecraft redstone logic. PSYCH! EAT THIS AMAZING CLASS ABOUT BOOLEAN ALGEBRA!! Amazing explanation, class grade worthy Matt. You're a genius!!!
@Controller-Chronicles2
@Controller-Chronicles2 2 месяца назад
it's funny i'm just revieuwing my math class and you explain it better thx
@sopinha9615
@sopinha9615 Год назад
THANK YOU VERY MUCH
@turboralph4782
@turboralph4782 3 месяца назад
Literley just learning this stuff in my engeneering class the other day and thought about how it could help in redstone.
@rng_god_rohith2169
@rng_god_rohith2169 2 месяца назад
i didnt understand my systems class lecture in college so here I am learning the redstone equivelant
@Donald_Trump81
@Donald_Trump81 Месяц назад
WE SKIPPING SCHOOL WITH THIS ONE 🗣️🗣️🔥🔥🗣️🗣️🔥🔥🗣️🗣️🔥🔥
@ynaPonte
@ynaPonte Год назад
For those who are really interested in simplifying boolean circuits/equations/truth tables, I recomend looking for karnaugh maps.
@navidryanrouf441
@navidryanrouf441 Год назад
This would've been very useful for my computer science exam yesterday T~T
@TheKoneko1312
@TheKoneko1312 4 месяца назад
I wish you would have taught us my favourite tidbit of information regarding nand gate: every other gates can be made solely with nand gates. It can be a fun redstone challenge.
@GameEdrin
@GameEdrin Год назад
Thanks for the new vid, matt! Happy to follow your videos and learn more about computational redstone! You have been a big part of my journey.
@baron_steamer
@baron_steamer Год назад
logic topic in high school math made me understand this video to the end thanks math
@jeiversonchristian6403
@jeiversonchristian6403 Год назад
Excelente video! I believe the compact XOR logic gates uses the reduced expression of it: A XOR B = [A AND NOT(B)] OR [NOT(A) AND B] Because the comparator allows that one lever sets A AND NOT(B) mode or the opposite. Also, the reason of the negation of the XOR gate just need to have one input negated is because of this: If I negate the A, the expression above becomes on that: [NOT(A) AND NOT(B)] OR [A AND B] That is the negation of the XOR, that I call "coincidence AND" that is true only when both inputs are true or false at the same time.
@bulldozer6710
@bulldozer6710 5 месяцев назад
fantastic!
@sutoreikyatto
@sutoreikyatto Год назад
I have a maths exam for comp sci on Monday so this is basically my revision
@mirancz
@mirancz Год назад
<a href="#" class="seekto" data-time="438">7:18</a> I almost thought you are gonna say "I want to thank to our sponsor..." :D
@minecraftingmom
@minecraftingmom Год назад
De Morgan's is such a life saver for simplifying circuits
@heikan7774
@heikan7774 7 месяцев назад
I am studying my logic circuits course at uni with these videos lol
@Abdulkadir-yq2vm
@Abdulkadir-yq2vm Год назад
I really wanted to get into this things but ı font have much time for this in these days because ı am preparing for the exam to graduate high school but in The summer ı am gonna get into redstone computering. You are encouraging me this video is awesome
@bangfebri01
@bangfebri01 Год назад
Very good Matt next episode 4 Matt 😅
@Freudianity
@Freudianity 10 месяцев назад
How I'm thinking about the XOR and XNOR gates: they work based on symmetry, like you said. The XOR gates return TRUE for asymmetrical inputs and FALSE for symmetrical inputs. Flipping one of the inputs beforehand also flips the symmetry, and so the XOR gate can now work as an XNOR gate.
@eluoh
@eluoh Год назад
Thanks!
@RonicTheEgg
@RonicTheEgg Год назад
<a href="#" class="seekto" data-time="92">1:32</a> A with a gun <a href="#" class="seekto" data-time="100">1:40</a> A robbing A
@macewindow149
@macewindow149 7 месяцев назад
Building that and gate actually made me feel super accomplished lmao
@dzultra_real
@dzultra_real 3 месяца назад
Before this Video I thought I know stuff, now I realise I didnt, but do now!
@thequietkidtm4282
@thequietkidtm4282 5 месяцев назад
There is a good book about not only boolean algebra, but more algebra as well, called "How To Prove It". I dont remember who made it, but its pretty easy to find.
@derekspeight1208
@derekspeight1208 Год назад
I have a suggestion for your next video: Could you explore some creative applications of logic gates in non-computational redstone projects? Such as two levers controlling an iron door through an xor gate
@aravindneet
@aravindneet 4 месяца назад
Wtf a gaming video teaches me more then my teachers❤
@shadowvortex6653
@shadowvortex6653 2 месяца назад
as a student who has computer science major this feel nostalgias
@comoyun
@comoyun 2 месяца назад
as someone who's gonna enter university soon, this feels fun.
@jazetsesbugs6094
@jazetsesbugs6094 Год назад
Hi, how do you handle time correctly with combinatory circuits ?
@kingtasaz
@kingtasaz Год назад
theres a few methods to make 0-tick components i think. Otherwise you just have to coordinate around delays
@jazetsesbugs6094
@jazetsesbugs6094 Год назад
@@kingtasaz I don't wanna do 0-tick , coordinating is the worst part I think so my computer is a bit slow
@amiwan9596
@amiwan9596 6 месяцев назад
So happy i tried to make the AND gate and got it right! altho my redstone wasn't as compact as the answer he showed us haha
@jmnero4447
@jmnero4447 9 месяцев назад
Ahhh, that Bob statement brought me back to good ole geometry class when talking about deductive and inductive reasoning. "Pigs fly when it rains." If raining and do not see pigs flying = false If not raining and don't see pigs flying = true So far some good stuff!
@carlospallete3030
@carlospallete3030 24 дня назад
incredible
@msolec2000
@msolec2000 9 месяцев назад
Cool tthing about NAND (also NOR) is that you can build any other logic gate using only NANDs. :)
@spacesheep6547
@spacesheep6547 5 месяцев назад
I'm over here learning algebra for minecraft, instead of preparing for my tomorrow's exam
@GAMINVR
@GAMINVR 9 месяцев назад
im happy i was able to do the and gate without the tutorial
@ericenriquez4
@ericenriquez4 3 месяца назад
You are the best! Thank you for the simple explanation! But I want to see the advanced world of comparators... can you please make!?...
@ericenriquez4
@ericenriquez4 3 месяца назад
In 1.20...
@happydr_
@happydr_ Год назад
This video gave me flashbacks to my college Logic class
@chemplay866
@chemplay866 11 месяцев назад
Yay I made an AND gate myself :D
@tasty8186
@tasty8186 11 месяцев назад
There's a bunch of minecraft mods that expand or improve on redstone logic gates, but what I'd really love is a configurable "Truth Table" mod. Essentially opening a GUI of a truth table and selecting what input conditions should trigger an output
@willac4261
@willac4261 9 месяцев назад
All this course of Minecraft to trick me into learning algebra!!!
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