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George Boole and the AND OR NOT gates
BBC ^ | 8 December 2014 | Chris Stokel-Walker

Posted on 12/08/2014 9:59:37 AM PST by Borges

Mathematician George Boole died 150 years ago (today). Boolean logic, the system he invented, is still used in modern computer programming

Boole walked two miles to the lecture hall where he was due to give a lecture to students in 1864. But it was raining, and he became ill, dying of pleural effusion - liquid around the lungs - on December 8, 1864. He was 49.

In the last 17 years of his life he had established the concept of algebraic logic in mathematics, and simplified the world down to basic statements with either a yes or no answer, for which he used binary arithmetic. "The respective interpretations of the symbols 0 and 1 in the system of logic are Nothing and Universe," he said. It was a concept he first introduced in 1847, and expanded on in 1854. But even now, 150 years after his death, it's used in computer programmes.

(Excerpt) Read more at bbc.com ...


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To: Borges

Of course implementation is more directly based upon NAND / NOR gates.


41 posted on 12/08/2014 11:17:50 AM PST by Cvengr (Adversity in life and death is inevitable. Thru faith in Christ, stress is optional.)
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To: Borges

While Boole is admirable, I’ve been much more impressed by Maurice Karnaugh (E.g. Karnaugh Maps in canonical form design). (Still alive I believe, at age 90)


42 posted on 12/08/2014 11:22:50 AM PST by Cvengr (Adversity in life and death is inevitable. Thru faith in Christ, stress is optional.)
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To: ShadowAce

Re: Karnaugh Mapping of T/F/D (D for don’t care)


43 posted on 12/08/2014 11:24:12 AM PST by Cvengr (Adversity in life and death is inevitable. Thru faith in Christ, stress is optional.)
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To: Yo-Yo
Your program says if it’s not raining, then you must die.

I'm sorry about what happens when it stop raining where you are:)

44 posted on 12/08/2014 11:50:37 AM PST by isthisnickcool (NO MORE IRS!)
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To: Cvengr
Or Augustus_De_Morgan and De Morgan's Laws, extensions of Boole's

He's still dead, too.

45 posted on 12/08/2014 12:01:19 PM PST by meadsjn
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To: Cvengr

I loved Karnaugh maps when I took a digital logic class. In fact I have a Karnaugh map stamp which imprints a 4x4 grid on paper. It saved me a bunch of time on my final exam.


46 posted on 12/08/2014 12:03:35 PM PST by Crolis ("To have a right to do a thing is not at all the same as to be right in doing it." -GKC)
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To: Attention Surplus Disorder
Is there really such a thing as an exclusive NOR gate?

74266. Never used one myself.

47 posted on 12/08/2014 12:06:55 PM PST by Vroomfondel
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To: Cvengr

LOL! OK. You got me on that one.


48 posted on 12/08/2014 12:08:15 PM PST by ShadowAce (Linux -- The Ultimate Windows Service Pack)
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To: Borges
Other notables for today and tomorrow.

Dec 08     Horace (Quintus Horatius Flaccus) born in Venosa (Italy), 65BC

Dec 08     First Ph.D. awarded by Computer Science Dept, Univ. of Penna, 1965
Dec 08     Japan enters Second World War with invasion of Pantai Sabak, Kelantan, 1941
Dec 08     Jim Morrison is born in Melbourne, Florida, 1943
Dec 08     John Lennon is shot and killed in New York City, 1980
Dec 09     Ball-bearing roller skates patented, 1884
Dec 09     The Who's "Tommy" premieres in London, 1973
 

49 posted on 12/08/2014 12:19:26 PM PST by zeugma (The act of observing disturbs the observed.)
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To: Borges
Uh, aren't all Boolean variables declared in his honor?
50 posted on 12/08/2014 12:20:25 PM PST by zeugma (The act of observing disturbs the observed.)
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To: zeugma

But mine was a round number. :) (Round in the sense of decimal not binary).


51 posted on 12/08/2014 1:01:52 PM PST by Borges
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To: grania

so if you have a binary choice between

A. A very bad Republican
B. A bad DEM who may not be as bad as the GOP candidate

and it is certain that one of the 2 will win, but uncertain which one will win ... A reasonable man would:

do a write-in candidate?
vote for the Democrat?

Are we Boolean?


52 posted on 12/08/2014 3:06:34 PM PST by campaignPete R-CT (Let the dead bury the dead. Let the GOP bury the GOP.)
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To: campaignPete R-CT
Are we Boolean?

No,..we're just F***ed.

53 posted on 12/08/2014 5:32:37 PM PST by Cvengr (Adversity in life and death is inevitable. Thru faith in Christ, stress is optional.)
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To: Attention Surplus Disorder

I wire wrapped 74XXs in a grad school class a zillion years ago. Build a serial to parallel converter. Or was it the other way around? Can’t remember. On a PDP-8 with core memory.


54 posted on 12/09/2014 9:58:24 AM PST by FreedomPoster (Islam delenda est)
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To: FreedomPoster
I wire-wrap built lots of stuff, some of pretty complex, say over 100 74xx chips w/6809 8-bit uproc in the early 80’s. Tedious...but a very rugged & reliable way to build stuff.
55 posted on 12/09/2014 1:03:04 PM PST by Attention Surplus Disorder (At no time was the Obama administration aware of what the Obama administration was doing)
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To: Cvengr
LOL. NOT really.
56 posted on 12/09/2014 1:05:30 PM PST by Attention Surplus Disorder (At no time was the Obama administration aware of what the Obama administration was doing)
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To: Attention Surplus Disorder

It’s an amazingly good connection method. Lots of milspec electronics were done that way. I’m sure some of it is still flying.


57 posted on 12/09/2014 1:19:02 PM PST by FreedomPoster (Islam delenda est)
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