Kilobytes (KB) to Gigabytes (GB) conversion

Note: Above conversion to GB is base 10 decimal unit. If you want to use base 2 (binary unit) use Kilobytes to Gibibytes (KB to GiB) (which results to 9.3132257461548e-7 GiB). See the difference between decimal (Metric) and binary prefixes

Kilobytes to Gigabytes conversion table

Kilobytes (KB)Gigabytes (GB)
00
10.000001
20.000002
30.000003
40.000004
50.000005
60.000006
70.000007
80.000008
90.000009
100.00001
200.00002
300.00003
400.00004
500.00005
600.00006
700.00007
800.00008
900.00009
1000.0001
10000.001

How to convert kilobytes to gigabytes?

Kilobytes (KB) and Gigabytes (GB) are both units used to measure digital data storage. Understanding the relationship between them is essential when dealing with file sizes, storage capacities, and data transfer rates. The conversion factor differs based on whether you're using base 10 (decimal) or base 2 (binary) measurements.

Kilobytes to Gigabytes Conversion

Here's a breakdown of how to convert Kilobytes to Gigabytes in both base 10 and base 2:

Base 10 (Decimal)

In the decimal system, often used by storage manufacturers for marketing purposes, prefixes are powers of 10.

  • 1 Kilobyte (KB) = 10310^3 bytes = 1,000 bytes
  • 1 Gigabyte (GB) = 10910^9 bytes = 1,000,000,000 bytes

Therefore:

1 GB=106 KB=1,000,000 KB1 \text{ GB} = 10^6 \text{ KB} = 1,000,000 \text{ KB}

To convert 1 KB to GB:

1 KB=1106 GB=106 GB=0.000001 GB1 \text{ KB} = \frac{1}{10^6} \text{ GB} = 10^{-6} \text{ GB} = 0.000001 \text{ GB}

Base 2 (Binary)

In the binary system, commonly used in computer science and memory addressing, prefixes are powers of 2. Here, we use Kibibytes (KiB) and Gibibytes (GiB) to avoid confusion with the decimal prefixes.

  • 1 Kibibyte (KiB) = 2102^{10} bytes = 1,024 bytes
  • 1 Gibibyte (GiB) = 2302^{30} bytes = 1,073,741,824 bytes

Therefore:

1 GiB=220 KiB=1,048,576 KiB1 \text{ GiB} = 2^{20} \text{ KiB} = 1,048,576 \text{ KiB}

To convert 1 KiB to GiB:

1 KiB=1220 GiB9.53674316×107 GiB1 \text{ KiB} = \frac{1}{2^{20}} \text{ GiB} \approx 9.53674316 \times 10^{-7} \text{ GiB}

Gigabytes to Kilobytes Conversion

Base 10 (Decimal)

To convert 1 GB to KB:

1 GB=106 KB=1,000,000 KB1 \text{ GB} = 10^6 \text{ KB} = 1,000,000 \text{ KB}

Base 2 (Binary)

To convert 1 GiB to KiB:

1 GiB=220 KiB=1,048,576 KiB1 \text{ GiB} = 2^{20} \text{ KiB} = 1,048,576 \text{ KiB}

Interesting Facts

The confusion between decimal and binary prefixes led the International Electrotechnical Commission (IEC) to introduce the binary prefixes like Kibi-, Mebi-, Gibi-, etc., to clearly differentiate between powers of 10 and powers of 2. However, these prefixes are not universally adopted.

Real-World Examples

Here are some examples that involve converting Kilobytes to Gigabytes:

  • Old Floppy Disks to Modern USB Drives: A standard 3.5-inch floppy disk held 1.44 MB (or approximately 0.00144 GB). A modern USB drive can hold, for example, 64 GB. This means the USB drive can store the equivalent of over 44,000 floppy disks.

  • Image File Size: A high-resolution digital photo might be 5,000 KB (approximately 0.005 GB). Storing 200 such photos would require about 1 GB of storage.

  • Document Storage: A simple text document might be 50 KB (0.00005 GB). A large collection of such documents could accumulate to several Gigabytes.

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the Gigabytes to other unit conversions.

What is Kilobytes?

Kilobyte (KB) is a unit of digital information storage. It is commonly used to quantify the size of computer files and storage devices. Understanding kilobytes is essential for managing data effectively. The definition of a kilobyte differs slightly depending on whether you're using a base-10 (decimal) or base-2 (binary) system.

Base-10 (Decimal) Definition

In the decimal system, a kilobyte is defined as 1,000 bytes. This definition is often used by storage device manufacturers because it makes the storage capacity seem larger.

  • 1 Kilobyte (KB) = 1,000 bytes = 10310^3 bytes

Base-2 (Binary) Definition

In the binary system, a kilobyte is defined as 1,024 bytes. This definition is more accurate when describing computer memory and file sizes as computers operate using binary code. To avoid confusion, the term "kibibyte" (KiB) was introduced to specifically refer to 1,024 bytes.

  • 1 Kilobyte (KB) = 1,024 bytes = 2102^{10} bytes (Historically used, often confused)
  • 1 Kibibyte (KiB) = 1,024 bytes = 2102^{10} bytes (The correct term for binary)

Real-World Examples of Kilobyte Quantities

  • 1-2 KB: A very short text document (e.g., a simple "Hello, world!" program's source code).
  • 5-10 KB: A typical email without attachments.
  • 10-50 KB: A small image file (e.g., a low-resolution icon or thumbnail).
  • 50-100 KB: A page of formatted text with some simple graphics.
  • 100+ KB: More complex documents, high-resolution images, or short audio clips.

Historical Context and Notable Figures

While there isn't a specific law or single person directly associated with the kilobyte, its development is tied to the broader history of computer science and information theory. Claude Shannon, often called the "father of information theory," laid the groundwork for digital information measurement. The prefixes like "kilo," "mega," and "giga" were adopted from the metric system to quantify digital storage.

Key Differences and Confusion

It's important to be aware of the difference between the decimal and binary definitions of a kilobyte. The IEC (International Electrotechnical Commission) introduced the terms kibibyte (KiB), mebibyte (MiB), gibibyte (GiB), etc., to unambiguously refer to binary multiples. However, the term "kilobyte" is still often used loosely to mean either 1,000 or 1,024 bytes. This often causes confusion when estimating storage space.

For more information read Binary prefix.

What is Gigabytes?

A gigabyte (GB) is a multiple of the unit byte for digital information. It is commonly used to quantify computer memory or storage capacity. Understanding gigabytes requires distinguishing between base-10 (decimal) and base-2 (binary) interpretations, as their values differ.

Base 10 (Decimal) Gigabyte

In the decimal or SI (International System of Units) system, a gigabyte is defined as:

1GB=109bytes=1,000,000,000bytes1 GB = 10^9 bytes = 1,000,000,000 bytes

This is the definition typically used by storage manufacturers when advertising the capacity of hard drives, SSDs, and other storage devices.

Base 2 (Binary) Gigabyte

In the binary system, which is fundamental to how computers operate, a gigabyte is closely related to the term gibibyte (GiB). A gibibyte is defined as:

1GiB=230bytes=1,073,741,824bytes1 GiB = 2^{30} bytes = 1,073,741,824 bytes

Operating systems like Windows often report storage capacity using the binary definition but label it as "GB," leading to confusion because the value is actually in gibibytes.

Why the Difference Matters

The difference between GB (decimal) and GiB (binary) can lead to discrepancies between the advertised storage capacity and what the operating system reports. For example, a 1 TB (terabyte) drive, advertised as 1,000,000,000,000 bytes (decimal), will be reported as approximately 931 GiB by an operating system using the binary definition, because 1 TiB (terabyte binary) is 1,099,511,627,776 bytes.

Real-World Examples of Gigabyte Usage

  • 8 GB of RAM: Common in smartphones and entry-level computers, allowing for moderate multitasking and running standard applications.
  • 16 GB of RAM: A sweet spot for many users, providing enough memory for gaming, video editing, and running multiple applications simultaneously.
  • 25 GB Blu-ray disc: Single-layer Blu-ray discs can store 25 GB of data, used for high-definition movies and large files.
  • 50 GB Blu-ray disc: Dual-layer Blu-ray discs can store 50 GB of data.
  • 100 GB Hard Drive/SSD: This is a small hard drive, or entry level SSD drive that could be used as a boot drive.
  • Operating System Size: Modern operating systems like Windows or macOS can take up between 20-50 GB of storage space.
  • Game Sizes: Modern video games can range from a few gigabytes to over 100 GB, especially those with high-resolution textures and detailed environments.

Interesting Facts

While there isn't a "law" specifically tied to gigabytes, the ongoing increase in storage capacity and data transfer rates is governed by Moore's Law, which predicted the exponential growth of transistors on integrated circuits. Although Moore's Law is slowing, the trend of increasing data storage and processing power continues, driving the need for larger and faster storage units like gigabytes, terabytes, and beyond.

Notable Individuals

While no single individual is directly associated with the "invention" of the gigabyte, Claude Shannon's work on information theory laid the foundation for digital information and its measurement. His work helped standardize how we represent and quantify information in the digital age.

Complete Kilobytes conversion table

Enter # of Kilobytes
Convert 1 KB to other unitsResult
Kilobytes to Bits (KB to b)8000
Kilobytes to Kilobits (KB to Kb)8
Kilobytes to Kibibits (KB to Kib)7.8125
Kilobytes to Megabits (KB to Mb)0.008
Kilobytes to Mebibits (KB to Mib)0.00762939453125
Kilobytes to Gigabits (KB to Gb)0.000008
Kilobytes to Gibibits (KB to Gib)0.000007450580596924
Kilobytes to Terabits (KB to Tb)8e-9
Kilobytes to Tebibits (KB to Tib)7.2759576141834e-9
Kilobytes to Bytes (KB to B)1000
Kilobytes to Kibibytes (KB to KiB)0.9765625
Kilobytes to Megabytes (KB to MB)0.001
Kilobytes to Mebibytes (KB to MiB)0.0009536743164063
Kilobytes to Gigabytes (KB to GB)0.000001
Kilobytes to Gibibytes (KB to GiB)9.3132257461548e-7
Kilobytes to Terabytes (KB to TB)1e-9
Kilobytes to Tebibytes (KB to TiB)9.0949470177293e-10