This is the sixth part in my multi-part series on computing. In the previous parts, we learned about Boolean logic, the language computers think in. We then learned how to implement this logic electronically. And finally, we learned how to make computer memory, so that computers can record results of calculations. Now before we conclude the series, we’re going to take a quick detour into computational theory and the Turing machine. Alan Turing’s Machine of the Mind In 1936, mathematician, WWII codebreaker, and all around awesome guy Alan Turing wanted to investigate a problem in formal logic. Specifically, he
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Jonah is the author of The Physics Mill.
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Moving (again)
For (hopefully) the last time in the next three years, I’m moving! It’s only one city over, but I want to try and keep up a semblance of work productivity while I pack up and hop. So for the next two weeks or so, the blog will be on hiatus. Sorry all! I will try to put up some fun content sporadically. And hopefully a guest post.
Electronics / Physics / Science And Math
Flip-Flops and the Art of Computer Memory
It’s a poor sort of memory that only works backwards. ~The White Queen to Alice (Lewis Carroll, Through the Looking Glass) This is the fifth part in my multi-part series on how computers work. Computers are thinking machines, and the first four parts of my series have been on how we teach computers to think. But all of this logic, electronic or otherwise, is useless unless our computers can remember what they did. After logicking something out, a computer needs to remember the result of all that logicking! In this post, I describe how to use the logic gates
Computer Related / Electronics / logic / etc.
The Boolean Circuit and Electronic Logic, Part 2
If the presence of electricity can be made visible in any part of the circuit, I see no reason why intelligence may not be transmitted instantaneously by electricity. ~Samuel Morse This is the fourth part in my multi-part series on how computers work. Computers are thinking machines, but they can’t do this on their own. We need to teach them how to think. And for this, we need a language of logic. In the first part of the series, I introduced this language of logic, Boolean algebra. In the second part, I described how to formulate complex logical statements
Computer Related / Condensed Matter / History / etc.
The Boolean Circuit and Electronic Logic, Part 1
Living in a vacuum sucks. ~Adrienne E. Gusoff This is the third part in my multi-part series on how computers work. Computers are thinking machines, but they can’t do this on their own. We need to teach them how to think. And for this, we need a language of logic. In the first part of the series, I introduced this language of logic, Boolean algebra. In the second part, I described how to formulate complex logical statements using Boolean algebra. Now, in part three, I lay the groundwork for how we can implement simple Boolean logic using electronics. In
logic / Mathematics / Science And Math
George Boole and the Language of Logic, Part 2
Anything that thinks logically can be fooled by something else that thinks at least as logically as it does. ~Douglas Adams This is the second post in a multi-part series explaining how computers work. A computer is a thinking machine, a device which applies logic to any problem we ask it to. However, computers don’t know how to do this automatically. We have to teach them. And to teach them, we need a language of logic. Last time, we introduced one such language of logic, Boolean algebra. This time, we learn how to make composite statements in Boole’s system.
abstract algebra / logic / Mathematics / etc.
George Boole and the Language of Logic, Part 1
Logic takes care of itself; all we have to do is to look and see how it does it. ~Ludwig Wittgenstein Contrariwise, if it was so, it might be; and if it were so, it would be; but as it isn’t, it ain’t. That’s logic. ~Lewis Carroll This is the first post in a multi-part series explaining how computers work. At its heart, a computer is a logical-thinking machine. It’s very good at starting with several assumptions and deducing a conclusion from those assumptions. Of course, a computer can’t do any of that on its own. We need to
Astrophysics / Physics / Science And Math
How Planets Form
The Heavenly Spheres make music for us, The Holy Twelve dance with us, All things join in the dance! Ye who dance not, know not what we are knowing ~Gustav Holst By the sweat of your brow you will eat your food until you return to the ground, since from it you were taken; for dust you are and to dust you will return. ~Genesis 3:19 Many months ago, Richard Green posted an article on Google+ that described how life on a toroidal planet would work. The discussion in the comments eventually led to speculation as to whether or
Condensed Matter / optics / Physics / etc.
The Graphene Electro-Optic Modulator
Say we have a beam of light—maybe we made it with a laser. We’d like be able to change the intensity of the beam so that we can alternately brighten and dim it. Moreover, we’d like to be able to do so quickly. Physically blocking and unblocking the beam just isn’t fast enough. So what do we do? The solution is to make an electric switch so we can change how the light behaves via electrical signals. This is an electro-optic modulator (EOM). Two weeks ago, I introduced graphene to you all. And last week, I described some of
Condensed Matter / optics / Physics / etc.
Graphene and Me: My Brush with the Wonder Material
Graphene, a two-dimensional honeycomb lattice of carbon atoms, has made waves in science and technology circles. Last week, I gave a brief overview of the history of the stuff and why it’s special. This week, I’d like to continue the story by talking about applications. Unfortunately for us—and fortunately for society as a whole—graphene has spawned so many new technologies that it’s impossible for me to discuss them all. So instead, I thought I’d talk a single application that has personal value to me. As an undergraduate student, I spent two years in a laser lab studying graphene’s applications