Here are 4 more boolean expressions that should be equivalent to each other, but different from the ones listed above.
These expressions evaluate to 1 or true when
(a,b,c,d) = (0,0,0,0), (1,0,1,0), (1,0,1,1),
(1,0,0,1), (1,1,0,1), (0,1,0,1), or (0,1,1,1).
These expressions evaluate to 0 for any other
assignments of (a,b,c,d).

Expression #1

Last edited by John E. Franklin (2008-05-11 15:51:12)

Well tapering the meds all the way last year turned out to be a bad idea since it landed me in the hospital twice in a 40 day period.  The brain is a mysterious thing, and I have come down with an illness closely related to the brain processing when I hit about 30 years old twelve years ago.  So now I'm back on my meds again to a pretty substantial level and now I weigh 216 lbs, but most of that is muscle luckily.  My face looks thin enough, and that's important.  When your face gets fat, you start to get depressed for sure.  That started happening to me some years ago on meds.  So now I am still researching and experimenting with various Venn diagrams involving triangles, tetrahedrons, circles and cubes and hypercubes, to further my understanding of logic and boolean algebra as it relates to digital electronics.  I am lifting weights and splitting a little wood for exercise.  I did work for fourteen weeks from May to August, but I worked so fast I had to take a break when I got some weird feeling in my shoulders, sort of like pitchers might get.  Luckily the employer will let me go back should I choose to since they saw me working so hard, they surely believed the story I wrote in a leaving note.  I also do handstands and try to swing on the jungle gym or monkey bars when I can, and I try to have fun playing my trombone, clarinet, electric guitar with the frets removed, flute, and whistling through my fingers various ways along with recorded music or the radio.
Also my only son is getting older now, and he's turning out to be quite a person, smarter than me too, without a doubt!
That's all for this post.  Talk again here in a year...

Last edited by John E. Franklin (2009-09-26 02:13:11)

Hi John E. Franklin;

Thats an amazing regimen for two people. More power to you!

John Franklin.. ^_^
What is you Answer of your Exercise?

Eh bien, je crois que je voudrais ecrire quelque chose ici depuis cela a ete un longtemps.
I think I should have conjugated "ecrire" somehow above, but I don't know how.
If anyone finds a great conjugating francais livre avec plusier d'examples, please let me know its title.
My main langue est anglais, mais I attempt to speak le francais maintenant et then to prepare for a fun visit to Quebec again someday soon hopefully within the prochaine year or so.

Pleasant dreams and welcome to the forum!

Howdy John;

Morning. Thought the welcome was long overdue.

I am of the opinion that each critter, creature, and character that roams this world serves a purpose in the story of time.  Imagine for a moment that even an earthworm may possess a love of self and a love of others.  This may sound unlikely, yet its truth is not easily refutable unless you could put yourself into the place of the earthworm.  Consider perhaps that everything, rocks, grass, and brainy creatures too are all priceless from this point forward and see what happens.

That's an interesting point too, matrix illusion, like stuck in a computer program.
You know, there is also the world of dreaming when you are asleep.
Do you have an opinion on what might the implications of that world?

Anyway, I wasn't thinking of it in that way exactly.I thought of it in the sense of the matrix like in the movie.Machines controlling our while lives and all that.

What if it isn't machines?

I wasn't thinking of him particularly.

A particle is the current view of physics. It is based on their passion to explain everything by inventing yet another particle.

Depends on what you mean by simple.