Boolean Algebra & Redstone Logic Gates - LRR #3

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Published 2023-05-20
In today's episode, I go over the basics of boolean algebra and their corresponding redstone logic gate implementations.

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Boolean Algebra Wikipedia Page en.wikipedia.org/wiki/Boolean_algebra
More on Logic Gates    • Understanding Logic Gates  
Crash Course video on these topics    • Boolean Logic & Logic Gates: Crash Co...  
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?
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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 - "GOOD VIBES"...  
Mokka - Spicy Cream    • (No Copyright Music) Future Funk [Fun...  
Harris Heller - Golden Age    • Golden Age  
Harris Heller - Streamline    • Streamline  
LuKremBo - Biscuit    • (no copyright music) lofi type beat “...  
Infraction - Photograph    • Vlog lo-fi Anime Fashion by Infractio...  
LAKEY INSPIRED - Chill Day    • LAKEY INSPIRED - Chill Day  
Harris Heller - Guilty Spark    • Guilty Spark  
Harris Heller - In My Shadow    • In My Shadow  
PRNV - Happy High    • Happy High || happy lofi music || PRN...  
Creo - Place On Fire    • Creo - Place On Fire  

All Comments (21)
  • @bArium5656
    This guy and Sebastian Lague have beautifully explained Boolean algebra and logic gates. Wonderfully done!!
  • @wilb0-
    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.
  • @MauritsWilke
    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
  • @potatdev
    Your lessons should be shown in schools!
  • 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!
  • Ill be studying electrical engineering next year so this will come in very handy 🙂
  • @lime-ky5tm
    Someone who has struggled with math his entire life just understood this entire video Matt I hope you know that
  • 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 <3
  • @WinXPsp.3
    9:10 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.
  • @AnimilesYT
    I can see this video being used in university for programming. It's extremely well explained!
  • @James_Kosmo
    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.
  • @genericweeb6324
    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
  • 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 !!
  • @user-sx4oq5wl6j
    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!
  • @timpie9346
    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.
  • @AsilarWindsailor
    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
  • @portal6347
    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.
  • THANK YOU SO MUCH BRO not only you helped me understand redstone better u also made computer science at school make way more sense!