Math Is Fun Forum

{7/3}

Member

Registered: 2013-02-11

Posts: 210

Logic gates

Can logic gates be expressed using mathematical operations

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

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Logic gates

Hi;

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

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Logic gates

Which mathematical operations?

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“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
The knowledge of some things as a function of age is a delta function.

{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?

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

John E. Franklin

Member

Registered: 2005-08-29

Posts: 3,588

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.

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