Boolean Algebra 2 – Simplifying Complex Expressions

This video follows on from the one about the laws of Boolean algebra. It explains some useful interpretations of the laws of Boolean algebra, in particular, variations of the annulment and distributive laws. It goes on to demonstrate how Boolean algebra can be applied to simplify complex Boolean expressions, and therefore how to simplify the combinational logic circuits that they represent. This video works through a number of examples of simplifying Boolean expressions, step by step, including algebraic proof of the absorptive law, and some examples you can try yourself. The next video in this series revisits some of the techniques covered here, and describes how De Morgan’s theorem can be applied to simplify complex Boolean expressions.

[ryanhalfmann]

In 19 minutes I have learned more about this topic than weeks in class. Absolutely phenomenal job teaching this subject. You make it clear, concise, and easy to follow and understand.

[louis]

One of the few gems of computer science field on YouTube
I can't thank you enough.

[ulysses_grant]

This series is absolutely gold. Thanks so much for putting your efforts in making these videos, Kevin!

[avior]

I feel like I've discovered a superpower lol

[OneGooseInShoes]

Best video explaining this topic, I had struggles to understand this lesson but you simplified the 1 hour lesson to a brief and understandable video

[Trends]

Watching from the University of Ghana(legon) and believe me, when I say you are the best in the world.👌 God bless you

[mattbeers]

Kevin, I've watched at least 5 of your videos for my intro to logic class. There isn't anything better than this on the internet. I feel like you've provided me enough knowledge to test out of my class without even starting. Thanks a ton! Subscribed!
Any chance you could provide a printout of the different laws?
I can write them in my notes, but I really like your arrangement of them. Makes my boolean algebra quite simple.
(Class is still in the phase of covering the different types of logic gates, you've brought me way ahead in only a few hours.)

[somethingbeatyful]

Your video is really helpful, I have an exam in a few days time and I finally am getting a feeling for how to use the different laws, thanks to your videos.
But I, too, find it pretty confusing that at min 14:45 the absorption law is used with the A that is bound by an AND after. I used first the commutative law and then the absorbtion law finishing the simplification similarly:
(A^B)vBvA^(BvC)
=BvA^(BvC)
=Bv(A^C)v(A^B)
=Bv(A^B)v(A^C)
=BvA^C

I am a bit disappointed though that not one of the comments pointing this out was answered. Making mistakes is only human and correcting it would give me a greater sense of security that I have understood the laws and can apply them correctly.

[synoptic_moe]

This is the type of content we need in schools. Thank you so much

[acerovalderas]

I add my praises to the rest of the comments. You are excellent.

[MariaBure]

amazing quality - so much better than anything I have seen anywhere. Thank you so very much!

[georgemallard]

Watching these for my Computer Science A Level. They're so useful. Thank you so much for making them!

[e.l.]

Fascinating, tysm! I'm trying to get a CS degree without going on debt, so I really can't afford anywhere great, and this type of content is immensely helpful.

[Anna-rntc]

this video just saved my midterm! thank you!!!

[stevenstaubach]

Your pacing, descriptions and examples are fantastic. 4 of us showed up for a canceled class and tried to tackle one of our homework problems, but had failed after 2 hours.

Words cant express my gratitude.

[mmmair]

My midterm is on thursday and this video is actually crazy. Didn't realize how simple it was.

[pantoastado]

This guy sounds like Daniel from Amnesia, and I absolutely love it. Wonderful work, sir

[-._]

Bro, thank you so much, your style is 100% so clear and engaging, I don't know how much time and effort you saved me, but it's certainly a very significant amount. Everything down to your inflection is on point. When you say "but be careful!" about possible mistakes its like watching David Attenborough describe a predator entering the scene on Planet Earth! Also your website looks great, and I hope your university makes you dean or whatever other promotion you'd most enjoy.

[RoldyWins]

This video is awesome and really helped me to understand a lot. Great pacing and you laid everything out clearly, thank you so much for this series!

[RSSquid]

I'd like to thank you for this video and the lessons therein.
I just finished my first year at University studying Computer Networking. They decided to shoehorn boolean algebra in there.
This video helped me over several agonizing days before my final "Computer Architecture" exam which was mostly boolean algebra based.
I got 88%, and it's thanks, I suspect, mostly to this video. Thanks again Kevin.