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09 April 2008

LOGIC GATE PIZZAQ was WRONG!!!!!!! I was Not Perfect! Now I'm perfect, and the prize now also includes small antipasto

I WAS NOT PERFECT.
I MADE A MISTAKE.
I HATE THAT.

Okay, much gratitude to Mike, who (a.) usually is the only guy in C-space with the guts to try to answer these math nerd PizzaQs and (b.) is usually right.

In my first post about Logic Gates, I got the shapes of the AND and the OR gates right.

But when I asked the PizzaQ, I screwed the pooch and switched the shapes around (and left out the text inside the gates).

Thanks to Mike, the PizzaQ is now fixed.

You can trust this diagram. Really. It works now.

Mike, you got to fill in the table again, sorry. Obviously this is a different circuit from the one you tried to solve.

As expiation for my skroo-up, we are upping the prize to the 7 slices PLUS a small antipasto.

In private e-mail, Mike emphasized how rusty he was with all this, but I think I trumped him on rusty. The last time I had to know this crap for tests was maybe 1967.

My Logic textbook was Irving Copi's 5th Edition, which began with a preface that explained that a week after he published 10,000 copies of the 4th edition, some nice fellow wrote him a letter to tell him that 10 of his Quantification Rules were Wrong. So yeah, I screwed the pooch on this PizzaQ. But it could have been worse.

7 comments:

Mike said...

Heh, OK, try #2 for me. :)

+-+-+
|R|S|
+-+-+
|0|0|
|0|1|
|0|1|
|1|0|
+-+-+

Mike said...

Hm, maybe he's mad at me?

Jim Olson said...

Ok. I don't even know what the point is.

Mike said...

Not sure there is one, but it's fun to do anyway.

Vleeptron Dude said...

not mad not mad busy busy busy

Mike is RIGHT! You win the pizza and the antipasto.

So does benkillin on irc, he liked the problem and solved it offline.

I'm preparing some more text and other diagrams, and this should get closer to showing what the point of all this is.

But it should be enough to say right now that this is the system that's behind all modern digital technology -- computers, the Internet, CD players, iPods, cell phones, calculators, Gameboys, and all the nifty crap our space robots do on their trips to other planets and beyond and then send back to Earth.

But I have to repeat -- after Boole invented this system in the first part of the 19th century, everybody on Earth (except dusty sleepy old philosophy departments) totally ignored it as a useless silly plaything of daydreaming philosophers.

That's all for now, I'm totally wiped out. And still reeling from having made a Mistake. I know I've made mistakes before. There was this one time in 1992 ...

Jim Olson said...

Ok. I made Darrick explain this to me, and then looked up logic gates online. I LEARNED SOMETHING.

And then I think I solved it.

PQRS
0000
0111
1011
1110

If I get this right, at this point, I am owed so much pizza, I will take mine in the form of a nice dinner somewhere with you and SWMBO and call it even. Oh, and we must post the pictures online.

Vleeptron Dude said...

I don't think I've been stingy with this Vleeptron Pizza (transportation & shipping not included) which usually is won by people gazillions of kilometers from Northampton, and must be paid up when the winner slides by Northampton or I slide by Jakarta.

But the bad news is you're late on these 7 slices and a small antipasto. Mike not only found the Fatal Error, but was first to give the right answer to the corrected version.

And simultaneously when I was whoring my blog on Undernet, benkillin answered the PizzaQ in about 60 seconds.

The good news is that, with Darrick's tutoring, you learned a New Thing, and from now on, when you go to an ATM, you won't think it spits out the $20 using technology that relies on Magickal Principles known only to a Secret Brotherhood.

Pizza is Good! Antipasto is Good! But here's my favorite legend about Euclid:

A rich man asked Euclid to teach him geometry. In the first lesson, Euclid explained that a point hath no dimension, a line hath 1 dimension, 2 lines define a plane which hath 2 dimensions, and parallel lines extended forever never intersect.

The rich man said, "I think I understand all that. But what can I do with it? How can I profit from it?"

Euclid turned to his slave and said, "Give the man a few pennies, because he insisteth on profiting from knowledge."

(I'd like this story better if the wisest man in Alexandria didn't own slaves, but I'm not cleaning it up to make it more palatable to modern eyes.)