Skip to main content

The Hard Drive Capacity Calculator

Curious why when you buy an iPod, computer hard drive, or memory stick there is less memory actually available then what was advertised?

For example, you buy a new laptop, advertised having 100GB of hard drive space, actually only seems to have 93GB available? It almost seems as if there is false advertising involved. I'm sorry to say, this isn't the case, rather just a tricky usage of terminology used by memory manufactures. Let me try to explain...

You see, digital data is of binary numbers. 1's and 0's, also called bits. A group of eight (8 bits) 1's or/and 0's describe what is known as a byte. There are hence, 256 different values for a byte. ie: 00000000, 00000001, 00000010, 00000011, ... 11111110, 11111111. Digital memory is measured in the number of bytes, although it can also be described in bits.

This is where it gets a bit more confusing....

Just as with our decimal number system, when a very large binary number needs to be described, such as 123,456,789 Bits, we can use Metric prefixes (Kilo, Mega, Giga) to simplify things for us.

For example, 123,456,789 Bits is also equal to ~ 123.46 Megabits or 123,456.89 Kilobits.

Mega = Million
Kilo=Thousand
Giga=Billion

This is how hard drive manufactures define memory sizes. Pretty easy, right? Well, sorta, this is where it gets a bit complicated.

Since the start of computers, it has been common practice to define computer memory in powers of two, since computer memory is binary. For computer programmers, this is, for one reason or another, more practical and accepted.

2^1=2
2^8=256
2^10=1024

1000 is not a power of 2. 1024 is however. Since 1000 and 1024 are close to the same in value, to use the metric prefix 'Kilo' to define 2^10 just became accepted. Overtime, memory sizes grew. Mega came to define 1024 Kilos, or 1024x1024. Giga came to describe 1024 x 1024 x 1024... or 1,073,741,824. A bit different than 1,000,000,000 that we are accustomed Mega meaning

Windows, MacOS, the iPod, as well as other devices and software, assume 1 kilobyte = 1024 byte. Hard drive manufactures, not liking this measurement system, have decided to define 1 kilobyte as 1000 bytes. 24 bytes smaller than what is actually considered a Kilobyte, making their storage devices and hard drives seem to have more memory on them then what is actually understood to be there. They are technically correct with their labelling, but it is using the abnormal definition of what a Kilobyte is considered.

How do you distinguish between the two? Some have tried to define a difference by capitalizing one and not the other, but that idea seems to have failed in implementation. Capitilization does seem to work though in regards to differentiating between bits and Bytes though. Some add an extra letter to help define it, such as GiB, but it seems to be uncommon.

Generally, hard drives and most memory devices use the 1000 definition, and everyone else uses 1024 to define a kilo. Until that changes, that is just a fact we will all have to deal with.

Below is a simple tool you can use to discover the actual size of a drive based apon what the drive manufacture labelled it as.
---------------------------------------------------------------

GB*
Labelled Drive Size
<==>
GB
Actual Drive Size
-------------------------------------------------------------------------
-------------------------------------------------------------------------

(* GB = 1,000,000,000)

For the sake of ceasing this continuing fight, maybe it be easier if Windows just started displaying memory as 1000 multiples, instead of 1024. Anyone who needs to know data in binary powers are surely smart enough to be able to do the math themselves. and not be being using Windows anyways. :)

Comments

Popular posts from this blog

How to login to an expired Windows

Microsoft has a neat little way to prevent software piracy of their Windows operating system. "Windows Genuine Advantage"[edit: I stand corrected, it has nothing to do with WGA] with its "Product Activation" requirement. Essentially, even with a valid product key, you still need to activate your Windows to ensure that only one computer is using that specific product key. If you can't activate your Windows, there being many reasons for this, you are left with a 30 day grace period to change your product key to one that is fully valid or get in contact with Microsoft and plea your case. Once your grace period is up, Windows refuses to let you login anymore. You cannot access your files. You cannot go on the Internet. You cannot do anything, except the thrill of trying to activate Windows. Well, luckily for me I do not have to worry about this issues, as my Windows is valid and activated. However, for those who do not and have been so unfortunate enough to have

ATi Radeon 5770: PCIe x16 vs PCIe x8

In this article I will reveal the differences one should expect from running an ATi Radeon HD 5770 1GB graphics card at full and half PCIe 2.0 bandwidth. This is particularly important data for those considering a dual ATI 5770's Crossfire setup on today's Intel-based P55 motherboards which generally offer only a single PCIe x16 slot or two PCIe x8 slots. Are you better off with a X58 motherboard for Crossfire that offers dual PCIe x16 slots? Would just a more powerful single slot graphics card, such as an ATI 5870, be a better call? I can't tell you that, since you may find Crossfire annoying or you may want the absolute best performance from your rig. What I can show you though is if Crossfire on a P55 motherboard is a viable option, especially for those trying to save a quick buck. Read on! While other reviews of limited PCIe bandwidth have been addressed prior, such as at Tom's Hardware, these looked at either now-out-dated video cards or very expensive graphics

Some features of digital cameras

Most of us already have a digital camera that suits our needs. Quite possibly it's a brand of camera you bought at Walmart on sale that no one has ever heard of before, maybe it's the one integrated into your cell phone, or maybe your camera doesn't suck and you are thinking to yourself, what is the point of this article!? Well, I'm hoping to share a short list of some of the commonly overlooked or new features of digital cameras today that you might be missing out on. You might even find them all just enough of a reason to change what you are hoping for this Christmas. 1. Image Stabilization What was once only found in professional cameras has now found its way to the masses. Image stabilization technologies could very well be the biggest change for digital cameras since the auto-focus. With image stabilization you can take photos or video clips without a tripod that would otherwise be blurry due to an unsteady hand. Even with a steady hand, trying to take a photo whi

Intel Core i7 860: Stock Cooler and Power Usage

I'm just throwing this out there for anyone else running into similar problems as I have been having with my Intel Core i7 860 system. I'm noticing that a lot of heat is being produced from these chips when at full load and especially when overclocked, to the point that I feel the stock CPU cooler from Intel is simply inadequate. The included heatsink/fan included with the Intel Core i7 860 has a low-profile design that is smaller than previous Intel coolers, which seems a bit strange in my opinion considering that these chips are rated at 95W TDP. Anyways, I bought two Core i7 860 systems, one featuring a Gigabyte P55M-UD4 motherboard and another one using a Gigabyte P55A-UD4P motherboard (primary board used in this review). Using the stock Intel cooler, I could effortlessly overclock these systems to 3.5GHz using stock voltages. While the systems were stable for all intensive purposes, running Prime95 would cause the core CPU temperatures to shoot up quickly to 100*C (usin

Review of the New Dell Studio 15 (1555) Notebook

Hi everyone, welcome to my review of the new Dell Studio 15 (1555) notebook. I have had the notebook in my possession for just a few days as of this writing, so the review at this time will focus mostly on my first impressions of the device. I will update this article as I gain more experience using this system, so check back soon for added information or send me your questions via email for a prompt reply. The system under review has the following specifications: Processors Intel® Core™ 2 Duo P8600 (2.4GHz/1066Mhz FSB/3MB cache) Memory 4GB Shared Dual Channel DDR2 at 800MHz Keyboard

Review: Lenovo Bluetooth Laser Mouse

In an attempt to give back to the community a bit, I am going to giving a review of my experience with Lenovo Canada and two new products I have recently ordered from it online. The two products are the Lenovo T400 14-inch notebook and a Lenovo Bluetooth Laser Mouse. Purchasing I ordered online both the T400 and the mouse late Monday night, from Lenovo .com. The total price, after tax, was about $1,250. Before tax, the T400 cost me $1070, while the mouse cost me $27 (regular $45). Shipping was free. I scored a bit of a deal on the purchase thanks to some e-coupon codes that were mentioned over at Redflagdeals .ca. These e-coupons saved me a lot of money, but it still took about a month of constant checking before Lenovo had what I wanted in stock and at a decently low price. Shopping at Lenovo .com is a bit like playing the stock market; there are ups and downs. One day the LED back-lighting feature would cost $370, the next day it would be just $30. In the rare case, it

Lenovo T400 Review

So, let my review of the Lenovo T400 begin. Configuration under review Lenovo T400 14.1-inch LED 1440x900 display Intel Core 2 Duo P8600 CPU (2.4 GHz, 3 MB L2 Cache, 25 W TDP) 3 GB of DDR3-1066 MHz RAM Switchable graphics: Intel GMA X4500MHD or ATI Mobility 3470 /w 256 MB Bluetooth Intel 5300 WiFi 80 GB 5400 HDD Webcam Media Card Reader Windows Vista Home Basic 9-cell extended battery Price: $1070 CAD (Ordered November 24th, Delivered December 4th) Also ordered a Lenovo Bluetooth laser mouse. Price: $33 (Delivered in 1.5 days) Prices were substaintially discounted, thanks to a friends of employees discount and an addition e-coupon code. CPU Performance: 1M on SuperPI Mod 1.5 scored about 21 seconds. For comparison, my 3 year old AMD Sempron 3000+ overclocked to 2.4 GHz scored 50 seconds and my brother's 2 year old Intel Core 2 Duo E6300 overclocked to 3.0 GHz scored 19 seconds. The processor is very efficient in both terms of clock cycles and power savings, but compared to modern-d

Google's Web Toolkit 1.3 RC1 now out

Not everyone knows what AJAX is, not everyone will care, but for those who do and don't know this already, check out Google's Web Toolkit . As a hobbyist web developer, I know just how frustrating it can be to design a website with really neat functionality and layout. I have been really amazed at how Google creates their many websites, having them all lack that rudimentary feel most older websites today have. Google has really gone above and beyond by releasing the same tools to the public, for free, that they have used to make their very own websites. To top it off, they even have now released the source code for this Web Toolkit of theirs. The toolkit simplifies the programming process by converting easy-to-write Java code into the painfully tricky to perfect AJAX stylings. What does this mean to anyone who doesn't speak Geek? Well, expect fancier, more powerful, and more intuitive websites to start showing up on Internet that don't have multimillion dollar developer

Logitech LX 500 Review

So after a recent incident with my old keyboard involving a kitten and a bottle of diet coke, it was time for a new keyboard. Enter the Logitech LX 500. I found the keyboard for sale at my local computer shop as a weekend door crasher special for 15$ - strange how they still had plenty in stock despite it being Sunday afternoon. It fit my price range and included a decent mouse, so... :$: Cha Ching :$: The keyboard and mouse unboxed The 800 dpi wireless optical mouse is a dark blue and black in colour, with two main buttons, a horizontally and vertically scrolling capable clicking scroll wheel, and a smallish button underneath it for tabbing between windows. The tabbing button does not function without the included software being installed, but the basic mouse functions were working right away. A pair of regular Duracell batteries were included with it. Overall, my impression of the mouse is good for what it is. It feels nice and, even for it not being a very large mouse, it still fit