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#1 2013-03-06 04:11:33

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

Logic gates

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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#2 2013-03-06 04:16:07

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,653

Re: Logic gates

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#3 2013-03-06 04:17:33

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

Re: Logic gates

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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#4 2013-03-07 02:31:30

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

Re: Logic gates

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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#5 2013-03-21 02:18:58

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,570

Re: Logic gates

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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