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**{7/3}****Member**- Registered: 2013-02-11
- Posts: 210

Can logic gates be expressed using mathematical operations

There are 10 kinds of people in the world,people who understand binary and people who don't.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,228

Hi;

Of course. A logic gate is a real world example of a boolean function.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,518

Which mathematical operations?

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**{7/3}****Member**- Registered: 2013-02-11
- Posts: 210

I was trying to memorize and explain the logic gates earlier and i thought of sets.if U={1,0} and 1={{ }},0={ } and A AND B=A intersection B,A OR B=A union B,NOT A=A' then the idea seems to work.are these expressions valid?

There are 10 kinds of people in the world,people who understand binary and people who don't.

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,562

If you wire the output of a logic gate to an input upstream from a bunch of logic gates, you create a sequential sort of circuit, depending what exactly you do.

I suggest reading about J-K flip-flops and D flip-flops and also thinking about

how these flip-flops are made out of logic gates and pursuing some thought

about making a sequential machine without using J-K or D flip-flops, but

simply by figuring out your own way of creating a sequential circuit.**I do not know how to make a mathematical expression for a sequential circuit.**

**igloo** **myrtilles** **fourmis**

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