Skip to main content

On Kilobytes, Megabytes, and other computer-centric factors

I started programming way back. In those olden days I was working close to the hardware - on machine language code (assembly languages). Bits were important: shift left, shift right, AND/OR/XOR. And memory pages were important too: fitting an important routine within a 256 byte page of RAM could really help performance.

Today, life is different. Instead of choosing a memory address, Programmers allocate objects. If a programmer is storing a boolean, a boolean object is created. Who knows how that's represented under the hood, but it certainly isn't represented in one bit of RAM. Most programmers don't even use the bit-wise operators offered through the programming languages given to them. Sure, some do. But most do not.

And so now we get into our prefixes: kilo, mega, giga, terra, and peta (and beyond, I suppose)

Many programmers still want these prefixes to be based on powers of 2. One kilobyte is 1024 bytes (2^10). One megabyte is 1024*1024 bytes (2^20). Etc. It was a useful system up until the early 1980s, but today it serves no purpose. Why is a kilobyte 2^10? Because the number, when converted to decimal, is the power-of-two number that is closest to 1,000. 2^11 and 2^9 simply aren't as close to 1000 as 2^10.

Anyhow, all this makes some (but not much) sense in terms of addressing RAM. Then these same people wanted everything else related to computing to work the same way.

Disk Storage

So the programmers decided that since physical RAM layout was important, and that it was good to have a funny math for it, that others should follow their methods. The programmers wanted disk drives to follow the same memory conventions. At first there was some practicality to this: programmers wrote code to stick pages of RAM onto disks in what they called "disk sectors". This was primarily done because it was very easy to treat a page of RAM (perhaps 2^8 bytes) as a body of work. This was key because performance ruled the day with 1 MHz computers. (By the way, the M in MHz means exactly "1,000,000").

But over time the disk drive guys lost interest. Sectors were a false abstraction, and under the hood of the drive sectors changed size to pack in more bytes, and low-level ECC and other techniques made it pointless. Furthermore, programmers were no longer dumping pages of RAM to disk, they just wanted to store files in a file system.

And so the drive guys started to sell disks using normal base-10 units. 100 MB drive means 100 Million Bytes. This was convenient to a lot of programmers because most left base-2 mathematics behind when higher level languages became practical. Before long, if a programmer said that there were 1K of rows in a database, they meant a normal thousand and not 1,024. 

That was the start of the first war. Programmers screamed at the drive guys for abandoning their "base 2" convention. Some programmers still wanted 1 MB of disk storage to mean 1024 *1024. But why? Programmers were no longer worrying about pages of RAM and sector sizes. Those same programmers also complained when they got less storage than on the box due to the overhead of things like the realities of how a file system works. And those same programmers are creating substantial "objects" to store a 3 character string. Talk about babies, they couldn't even appreciate a file system. They just liked their silly "my way or it is wrong" math despite the fact that their way no longer had a purpose.

Let me give you a practical example: Let's say you are dumping 1 billion records onto a disk. Each record is 40 bytes long. Quick, do you have enough room if you have 38.1 GB free? WHO KNOWS! Because bonehead holier-than-thou programmers that never shifted any register on any CPU wanted to confuse everyone.

Networking

Throughout all this the network guys were having none of it. They did things in bits per second. Bytes? No way! "Byte" was an ambigulously-sized number of bits, so they smartly renamed a collection of 8 bits an "octet". Kilo? To a network guy, that meant 1000. Nothing else. Mega? 1,000,000. 100 Megabits per second meant 100,000,000 bits in one second. And it still does to a network guy.

But then the uncultured programmers got in there using their personal ideals and wrote some networking software using their own rules and confused everyone. They started to apply their way to other realms for NO REASON.

What does 100 MB/second mean?

  • Normal Person: 100,000,000 bytes in one second (100 * 1,000,000)
  • Networking Person: 100,000,000 bytes in one second (100 * 1,000,000)
  • Programmer:
    • Normal: 100,000,000 bytes in one second (100 * 1,000,000)
    • Stupid: 104,857,600 bytes in one second (100 * (1024*1024))
    • Very Stupid: 102,400,000 bytes in one second (100 * (1024*1000))

Unfortunately, many programmers have fallen into the "Stupid" trap. Or worse.

These same annoying programmers no longer use the bin/oct/hex functions of their HP16C. In fact, I'd say they most wouldn't be able to use an HP16C to add two hexadecimal numbers together.

Conclusion

It's time to give up the fully obsolete base-2 notion of kilo, mega, and giga. If you really love powers of two, use them explicitly like a REAL tech expert would. My laptop has 2^33 addresses of active RAM. And now how many 2^8 byte pages of RAM fit into that address space? Comment with your simple assembly language program that calculates this number (any architecture).


Popular posts from this blog

Fixing a SodaStream Jet, part 1: Disassembly Guide

I've had my SodaStream Jet for years, and once in a while something has gone wrong. Disassembly is the first step to repair.  Start with this article to see how to disassemble the SodaStream, and then once you have that down, scroll through my other articles to see how I repaired specfic SodaStream problems. SodaStream Jet Disassembly Guide Tools Required Flat head screwdriver Phillips head screwdriver 1. Remove the Carbonator.  Duh. 2. Remove the black panel lever The front big black tilt lever needs to be removed first. Removing this panel is tricky, but it isn't impossible. Looking up at the bottom of the black panel, there are two tabs, one on the left and one on the right. These tabs fully secure the panel in place. The trick is to use a flat-head screwdriver under the plastic to gently lever the tabs out of the way.  Note in the pictures how I approach these tabs with my screwdriver.  I usually release the left side first, and then I release ...

Sodastream Carbonator Leakage, Usage, and Weight

SodaStream 60L "Carbonator" CO2 cylinders have a specific weight when empty, plus about 410 or so grams for the CO2 they should have when they're "full".  A little while ago I went to buy a replacement Carbonator from my local hardware store. The dealer pulled a new Carbonator out of the box and sensed it was lighter than usual.  He put the "light" Carbonator in the "empty" pile and sold me a different one.  At that moment I concluded that it would be smart of me to weigh both new and empty SodaStream carbonators.  Here are the results. Weighing a SodaStream Carbonator - for both Science and Consumer Protection.       The dealer told me that sometimes the carbonators leak after they leave the SodaStream filling facility.  That means there could be an opportunity for customers like me to get ripped off! The SodaStream cylinders I buy claim to have a net product weight of 410 grams - and that means that a full Soda Stream Carbonator shou...

Fixing a SodaStream Jet, Repair #2 - Broken Fill Button

My Soda Stream Jet's fill button broke, which means I can not longer carbonate water by pressing the pushbutton. This caused all sorts of grief in my household. Here is how I managed to repair my Jet to give it another 10 years of life (hopefully). First, a look at the button The fill button on the top of the SodaStream is actually a simple lever. Pressing down on the button moves a pin that does the actual work of pressing open the Carbonator's valve. Unfortunately, the axis point is fairly thin and can see a lot of stress. That's where my Soda Stream button cracked. [ I think the usage tip here is "don't over-press the button like a gorilla, it doesn't do anything but put high stress on the button."] Cracked levering point of the button The Pesky Lever Retaining Pin The Fix It was pretty easy for me to replace the button: Take off the back of the Soda Stream and remove the carbonator. Push out the the button lever's steel retaining pin. This takes qu...

Macintosh: Upgrading an eMac

It's been a long time since I wrote this article, but the fact remains: The good old eMac can still be useful if you take the simple steps to keep it as good as it can be.  All can run Tiger, and most can run Leopard - great operating systems for their day with a bit of useful life.  This article describes the procedure I used to upgrade my old eMac, including: Replacing the internal hard disk with a large capacity drive. Increasing the memory for performance Upgrading the operating system Here I'm upgrading a 700 MHz eMac, but the procedure and tasks for upgrading other eMac models should be almost identical. Upgrading versus Replacing My sister's eMac is of the 700 mhz variety, with 256 MB of memory. The machine seemed to be getting "slower", and the original 40 GB disk was becoming jammed packed with photos and iTunes, and within a few months she'd be out of disk space. There were two options to address the problems: upgrade the eMac, or go o...

Fix a Lightning Cable with Heat Shrink Tubing

We've all seen a Lightning cable that has started to fall apart.  They get used every day, and after enough tugs and yanks on your iPhone, they start to fray. I've seen a lot of these frayed cables, so I've started to fix them before they break with heat shrink tube.  I get my heat shrink on Amazon, like this handy and inexpensive pack.   I prefer the heat shrink tubes without internal glue - it has higher flexibility and a smaller outside diameter once shrunk. Heat Shrink Tubing on an Old, Frayed Lightning Cable In the photo here, you'll see that I slid on a 1.25 inch length of heat shrink over the lighting connector, and then shrunk it into place.  I chose a diameter that just barely fits over the lightning connector.  In all, it took about 60 seconds to perform this repair. Warning: the white plastic of the lightning cable has a pretty low melting point.  It seems to start to melt at about 125°C (or about 250°F), which is the same temperatur...

MacBook: burnt out magsafe connector repair

My MacBook (A1342 model from 2009-2010) stopped working, thanks to a cheap knockoff magsafe charger. The magsafe connector looked burnt with heat-distorted melted plastic and some black carbon surfaces.  Plugging in the charger resulted in no lights and no action.  My MacBook was dead. First I tried to clean up the connector with some Q-Tips, tooth picks and solvent, but that did little, as seen in this "after" picture (below).   The heat generated by the aftermarket charger permanently deformed and distorted the MacBook's magsafe connector.  Clearly the damage was significant. Burnt Magsafe Connector - Replacement Required! Looking at iFixIt , I determined that it would not be difficult to replace only the magsafe connector with the right tools.  I hoped and prayed that the problem was isolated to the connector assembly and not the logic board. I bought a replacement magsafe connector assembly (available from Amazon) for under $20 and started to rep...

Other Posts

Show more