Logic Gate Expressions
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- Опубликовано: 12 июл 2024
- This computer science video follows on from the video about combining logic gates. It covers how a logic gate diagram can be described with a Boolean expression. This includes how to come up with a valid expression for a given combination of logic gates and, conversely, how to draw a logic gate diagram for a given expression. The order of precedence of the logical operations NOT, AND and OR, and the importance of brackets, are also discussed. It was the British born mathematician George Boole who in the mid 19th century, long before digital computers were even dreamt of, first described complex logical arguments using algebraic expressions that could be manipulated and simplified. Almost 70 years later, the American mathematician and electrical engineer Claude Shannon, showed that ‘Boolean algebra’ could be applied to the design of switching circuits; circuits that effectively handled binary ones and zeros. It was the work of these men that laid the foundations for the invention of the modern digital computer, and this video will give you some insight into how their work came together. This video also sets the scene for learning the rules of Boolean algebra, a very powerful tool for computer circuit design.
by far the most underrated CS-related youtube channel. this video was nothing short of a masterpiece. keep it up!
Thanks for the kind comment.
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bless this video, simplified my EE class lecture in like 5 minutes!
Thank you so much! I was struggling on understanding how to draw the diagrams!
I am very happy to help :)KD
I am so enjoying this series of videos. I can't thank you enough for these! Sending love and thanks from South Africa
I love comments like yours. Thank you :)KD
U made it so simple and its really understandable. thank you sir
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Jim Pytel is a great help.
bruv you explained in 6 mins what I couldn't understand for a week man tysm!
This is such a great video. I finally understand Logic Gates ! Many thanks !
amazing explination... this is very complex for someone with my style of learning, and you managed to explain it better than my college teacher who lilkely took me for an idiot because he didnt realise i dont learn like other people
Delighted to help Anthony. :)KD
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I hope it went well. :)KD
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Excellent Explanation.
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I hope the test went well :)KD
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You are very kind. :)KD
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You are very welcome. Glad to help :)KD
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You are most welcome. Delighted to help :)KD
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Glad to help :)KD
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You're welcome. And thanks for commenting :)KD
It has really helped me a lot .tanx
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You are very welcome. It's good to hear I have helped :)KD
Thanks from your better information
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Glad to help. :)KD
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That's the way all tutorials should be made. Clear and fluent language, without breaks, all words fully understood and the fluent of speaking at the correct speed. None pauses, coughs or mistakes.
Enough with all tutorials and courses, plenty of them highly paid, that we need a translator or subs in order to understand most of the words.
Golden rule? If you cannot speak correct and understood English, prefer to make videos only to the mother tongue.
Thank you :)KD
Omg . Thankyou very much 😍😍😍
I loveeee logic gates and this helped me get entertained
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:)
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Thank you :)KD
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I'm delighted to help. :)KD
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You are very welcome :)KD
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Delighted to help. Good luck :)KD
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This helped me alot i coulnt understand anything in school u r like a angle
An*
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Amazing video tysm!
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You are very welcome. Thanks for the comment.
Thank you 🙏🏾
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Thank you
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And thank you - You are most welcome :)KD
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Tnx :)KD
Perfect
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It's a clear explanation thank u. Can u solve some boolean identity to draw the circuit😊
Thanks for the comment. If you're interested, I have made a sequence of videos on Boolean algebra. :) KD
@@ComputerScienceLessons where can i Look on to it? Do u send its name or web link please
you can build a Or with And and Not gates and vice versa And with Not and Or Gates.
Which I find absolutely amazing.
What amazes me is that George Boole worked all of this out in the 19th century, based in the work of Aristotle from about 350 BC. :)KD
wow this is really stupendious...l really understand now
Glad to help. :)KD
It's 2 different kinds of transistors inside that shunt the power in different directions.
thanks man for this video. there is 8 valid expressions in 06:20 not 4
Indeed :)KD
U=Legend
that you very much
Sir, is it same as current syllabus? Btw I love how simplified you that much complex topic such a gem channel.
The fundamental concepts have not changed since the 1950's. Some people use different symbols for the logical operations. I have used ^ for AND, v for NOT and ¬ for NOT because you can find them all on a keyboard. The fundamental concepts are universal, regardless of the syllabus you follow :)KD
explained so much better than my teacher
Wow thankyou sir
Please correct me if I'm wrong, but the logic circuit you drew from the Boolean expression Z=(A and B) and NOT B is incorrect. If B is high than the circuit will not have an output due to the NOT gate feeding the second AND gate. If B is low than the first gate will not have an output, which will cause the second gate to again have no output. B can not be high and low at the same time in an AND gate configuration.
Hi James. The logic gate diagram does indeed match the expression (the object of the exercise), but as you have quite correctly pointed out, the circuit is pretty much useless. Examination of the truth table reveals that the value of Z is always 0, which means the whole thing could replaced with a single wire carrying no voltage at all.
A B NOT B Z
0 0 1 0
0 1 0 0
1 0 1 0
1 1 0 0
If you are interested, my videos on Karnaugh maps and Boolean algebra cover techniques for simplifying expressions and therefore the circuits they represent.
I can revise my module in 1 day with all these videos if I put my self to it. That's how well made they have been so far for me. I would donate £5 if I pass. I left all my revision for last day and if this makes me pass..............
Can you please tell me the license of the video.
I used the filter-option "Creative Commons" but the license is not displayed in the video description.
Thank you in advance!
Where is the "love" button?
S U B S C R I B E
Super🙏
Thank you :)KD
🐐 teacher
Thanks :)KD
"Zed's dead, baby. Zed's dead."
Always lost 10 marks because of logic gates, now I finally understand.
I feel like I've heard this voice before on History and Discovery channel
That wasn't me. Put perhaps one day I'll be discovered (or else I'll be history) :)KD
Ist it also right if i would write b and (not a) instead of (not a) and b
Yes it is. This is known as the commutative law of Boolean algebra. However, not(a and b) is something different. Furthermore not(b and a) is the same as not(a and b) :)KD