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  • In 1963, if you wanted to do calculations,

  • you had a mechanical calculator like this wonderful Odhner Brunsviga, but it's all mechanical.

  • This guy, 1962–63,

  • Bob Ragen, worked at Friden Incorporated, maker of mechanical calculators, had this idea

  • let's invent an

  • all-electronic calculator! Indeed,

  • nothing mechanical in it. It's all electronic, and I've been lucky enough to

  • not just get one of them,

  • but to meet and talk with the late Bob Ragen, who came by and helped me repair two of them.

  • Signed by Bob Ragen, August 2006. This is a cathode ray tube out of an oscilloscope,

  • four circuit boards.

  • It's all discrete transistors. Each one of these is one transistor. Each of these probably cost five or ten dollars

  • in 1962. Germanium transistors!

  • Resistors, diodes... circuit boards that are not just double sided but sort of, in an odd way, four sided!

  • It folds in on itself, plugs in, and there are four different...

  • But even that's not

  • what I find amazing. In a

  • calculator you have to keep track. You need a memory; you need to keep track of the numbers.

  • Where's the memory? This used a piece of piano wire for memory!

  • You would tweak one end of the piano wire, vibrate,

  • go around around around in a spiral, and at the far end there'd be a little microphone to hear it. Each pulse

  • was a "ding!" [imitates buzzing noise]

  • "Ding!" It was called "recirculating audio acoustic memory." It's all in here. The number 5—

  • binary, 0101—had to have "ding,"

  • no ding, "ding."

  • So a ding was a bit. It remembers in time. It takes about, oh,

  • a hundredth of a second for these little bits to go around this long spiral. Come on over, Brady, check this out.

  • [BRADY: Oh!]

  • Now let's look over here.

  • First you can see there's a spiral out here. Every time there's a bit like

  • the first, the first bit in the number 5,

  • over here is a little speaker that goes "boink!" Little magnetic coil. It goes "boink" and launches a

  • pulse. A little "doink" goes around here on the spiral of

  • piano wire, steel wire,

  • It spirals in, then spirals out, and a couple of milliseconds later it gets to the far

  • end, where there's a tiny microphone, a microphone over here,

  • which goes out into an amplifier and then into the circuit boards.

  • So the memory of this calculator is

  • all acoustic.

  • Every time you type a number into it, the bitstream of the number is represented

  • continuously as

  • vibrations in this wire. The alternative, of course, is what we do today. You'd have solid-state memory

  • Well, solid-state memory, well,

  • there's

  • five, let's say there's six,

  • entries in the stack, each one has say, ten digits. It's more than that, it's thirteen digits, well,

  • let's say ten, times six is sixty digits, times four bits per digit...

  • It's on the order of 250. Maybe if I would need somewhere between 200 and 500 transistors and

  • each

  • transistor

  • is costing me a dollar, that's big bucks.

  • And on top of that, it takes up space, so rather than using

  • transistors as we would today for memory,

  • put all the information in

  • acoustic memory. Okay, I'm working on this, my problem is:

  • in August of 2006 I got it working.

  • It was working in November of 2013.

  • Today, I'm sorry guys, it's sort of...

  • I'm sorry. It's sort of not working very well.

  • And I'm going in with an oscilloscope. It's... the oscilloscope is there.

  • Okay, so unfortunately,

  • you can see it's dancing around. If we type a number in, BAM.

  • I can see that two of the scanning boards are working. I can also see that I've got some troubles in the arithmetic board.

  • And the logic. Nope, I've got work to do. The happy thing is,

  • alongside this, that Bob Ragen helped me fix, I've got a second one which happily,

  • as of last night, was working.

  • Not sure it's working now, but let me give it a try. If I'm lucky... Oh!

  • We'll do all our calculations with seven decimal places. There is a stack of four...

  • four numbers and I enter on the lowest stack, which should be brightest. I'll enter 22.

  • Enter. Now I have 22.

  • Oh! I'm going to divide by 7.

  • 7.

  • Divide.

  • 3.14, an approximation for pi. We just showed that it divided. Let's do a square root. Square root of 2.

  • 2, square root, watch how long it takes. Boop!

  • It takes a second to do a square root. Let's actually go all the way out, do it to twelve decimal places.

  • 2.

  • Square root.

  • It takes the better part of a second to find the square root of two, but it does it, and in 1963,

  • people were astonished. Hey, when I first used this in college in 1971–72, I was astonished!

  • Bring the square root of two to a dozen decimal places in a second! Wow! I don't have to look it up,

  • I don't have to do an expansion,

  • absolutely sweet! So this machine that I'm working on,

  • I compare voltages to this working machine, so I'm in there...

  • and you can see—I hope it's visible, Bradyso now let's do the square root of 2.

  • 1.414. Let's crank the decimal place back here, clear entry, 22, enter,

  • 7, divide.

  • And there's an approximation for pi. A little bit lousy, you know,

  • a few digits of approximation. And so to repair this guy, I'll be comparing voltages from this guy here into here.

  • And check this out, of course:

  • It's a continuing problem.

  • "November 2013 repaired! OK." So this guy's working. Why do I work on this? It's partly out of

  • respect for those who came before me.

  • Brilliant engineers. It's partly out of a sense of

  • appreciation for their work, for their use of the available

  • technology, that today, people will laugh at it. Discrete transistors?

  • I'm not sure you can buy a discrete germanium transistor anymore, certainly not one made by Texas Instruments. It's admiration

  • for those who came before me. And of course, it's also a

  • wonderfully entertaining

  • jigsaw puzzle. Debugging software? Hey,

  • I don't need much more than a computer and a brain. Debugging hardware: it means understanding

  • not just what's supposed to happen,

  • understanding not just what is happening, but also understanding

  • what was in the mind of the people who created this. The reason for

  • working on this isn't "oh look, I've got a museum piece." No, that doesn't mean anything. The reason is,

  • it teaches me, gives me a sense of...

  • of...

  • joy that I've

  • I'm bringing to life

  • what people who came before me gave birth to.

In 1963, if you wanted to do calculations,

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一個令人驚訝的老式計算器 - Numberphile(數字愛好者) (An astonishing old calculator - Numberphile)

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    林宜悉 發佈於 2021 年 01 月 14 日
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