Bits to Kilobytes conversion

Note: Above conversion to KB is base 10 decimal unit. If you want to use base 2 (binary unit) use Bits to Kibibytes (b to KiB) (which results to 0.0001220703125 KiB). See the difference between decimal (Metric) and binary prefixes

Bits to Kilobytes conversion table

Bits (b)Kilobytes (KB)
00
10.000125
20.00025
30.000375
40.0005
50.000625
60.00075
70.000875
80.001
90.001125
100.00125
200.0025
300.00375
400.005
500.00625
600.0075
700.00875
800.01
900.01125
1000.0125
10000.125

How to convert bits to kilobytes?

Bits are indeed a fundamental unit of digital information. To convert bits to kilobytes, we need to account for the fact that both bits and bytes can be used with different counting systems: base 10 (decimal) and base 2 (binary).

Base 10 (Decimal)

In the decimal system:

  • 1 Kilobyte (KB) = 1,000 bytes (B)
  • 1 byte = 8 bits

Based on this: 1 KB = 1,000 B = 1,000 * 8 bits = 8,000 bits

Thus, to convert bits to kilobytes: 1 bit = 1 / 8,000 KB = 0.000125 KB

Base 2 (Binary)

In the binary system:

  • 1 Kibibyte (KiB) = 1,024 bytes (B)
  • 1 byte = 8 bits

Based on this: 1 KiB = 1,024 B = 1,024 * 8 bits = 8,192 bits

Thus, to convert bits to kibibytes: 1 bit = 1 / 8,192 KiB = 0.0001220703125 KiB

Real World Examples

  1. Text Documents:

    • A standard character in a text document usually occupies 1 byte (8 bits). So, for a document with 2,000 characters, it would comprise 16,000 bits. Using the base-10 system (decimal), that would be 16,000 / 8,000 = 2 KB, and using the base-2 system (binary), (16,000 / 8,192 ≈ 1.9531 KiB).
  2. Emails:

    • A small email without attachments might be about 5 KB (40,000 bits). In binary, this would be approximately 4.8828125 KiB.
  3. Images:

    • A 100 KB image file in decimal could be broken down to 100 * 8,000 = 800,000 bits. Using the binary conversion, 100 KB roughly translates into 97.65625 KiB (100 * 8,000 bits / 8,192 bits per KiB).
  4. Audio Files:

    • A 3 Megabyte (MB) MP3 song, in decimal, would be 3,000 * 8,000 = 24,000,000 bits, or 24,000 KB. In binary, this 3 MB file would be approximately 2.9296875 MiB (3,000 * 8,000 bits / 1,048,576 bits per MiB).

When using these conversions, it's essential to specify the unit explicitly (KB vs. KiB) as friction or misunderstanding can arise from these different definitions.

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 Kilobytes to other unit conversions.

What is bits?

"Bits" can refer to different things depending on the context in which it's used. Here are a few common interpretations:

  1. Binary Digits: In computing, "bits" stand for binary digits. A bit is the basic unit of information in computing and digital communications. It's either a 0 or a 1, allowing computers to process and store data in a series of these two states. Bits are combined to form bytes (8 bits), which can be further grouped into kilobytes, megabytes, gigabytes, etc.

  2. Currency Unit: In the context of digital currency, "bits" is an old term used for fractions of Bitcoin. Each bitcoin was divisible into 100 million units called satoshis or into smaller units known as bits (0.01 BTC = 1 bit). However, this term has largely fallen out of use since it's been replaced by the more precise and commonly used term "satoshis."

  3. Miscellaneous: Outside technical or financial contexts, people might refer to something as a "bit" in a colloquial sense, similar to how you might say "a bit" to mean somewhat or slightly. For example, "It's a bit rainy today." However, this usage is more common with the phrase "a bit," rather than just "bits."

In summary, when someone says "bits," without additional context, it most likely refers to binary digits in computing.

What is a Kilobyte?

Kilobyte, KBKB, is a unit of digital information. Kilo is used as a unit prefix in metrics system. It represent a numerical value 10310^3 or 1,0001,000. List of SI prefix can be found on Wikipidia.

There are two common ways unit of information is represented. One is in decimal (base 10) form and the other is in power of 2 (binary). KilobyteKilobyte is referring to the base 10 format, unlike KibibyteKibibyte which is referring to base 2 format.

1Kilobyte=>1KB(shorthandform)1\,Kilobyte => 1\, KB\,(shorthand form)

1KB=1,000byte=103bytes1\,KB = 1,000\,byte = 10^3 bytes

More examples can be found on Stanford's Kilobytes Megabytes Kilobytes Terabytes article

Complete Bits conversion table

Enter # of Bits
Convert 1 b to other unitsResult
Bits to Kilobits (b to Kb)0.001
Bits to Kibibits (b to Kib)0.0009765625
Bits to Megabits (b to Mb)0.000001
Bits to Mebibits (b to Mib)9.5367431640625e-7
Bits to Gigabits (b to Gb)1e-9
Bits to Gibibits (b to Gib)9.3132257461548e-10
Bits to Terabits (b to Tb)1e-12
Bits to Tebibits (b to Tib)9.0949470177293e-13
Bits to Bytes (b to B)0.125
Bits to Kilobytes (b to KB)0.000125
Bits to Kibibytes (b to KiB)0.0001220703125
Bits to Megabytes (b to MB)1.25e-7
Bits to Mebibytes (b to MiB)1.1920928955078e-7
Bits to Gigabytes (b to GB)1.25e-10
Bits to Gibibytes (b to GiB)1.1641532182693e-10
Bits to Terabytes (b to TB)1.25e-13
Bits to Tebibytes (b to TiB)1.1368683772162e-13