bits per second (bit/s) to Kilobytes per second (KB/s) conversion

bits per second to Kilobytes per second conversion table

bits per second (bit/s)Kilobytes per second (KB/s)
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 per second to kilobytes per second?

Sure, I'd be happy to explain how to convert from bits per second (bps) to kilobytes per second (KB/s), and also note the differences between base 10 and base 2.

First, let's clarify a few basic concepts:

  1. Bits and Bytes:

    • 1 byte = 8 bits
  2. Base 10 vs Base 2:

    • In base 10 nomenclature, "kilo" refers to 10310^3 (1,000), so 1 kilobyte (KB) = 1,000 bytes.
    • In base 2 nomenclature, "kibi" (Ki) refers to 2102^{10} (1,024), so 1 kibibyte (KiB) = 1,024 bytes.

Conversion Steps in Base 10:

  1. Convert bits to bytes:

    • 1 bit per second = 1/8 bytes per second = 0.125 bytes per second.
  2. Convert bytes to kilobytes:

    • 1 byte = 1 / 1,000 kilobytes = 0.000125 KB.
  3. Combine steps:

    • 1 bps = 0.000125 KB/s.

Conversion Steps in Base 2:

  1. Convert bits to bytes:

    • 1 bit per second = 1/8 bytes per second = 0.125 bytes per second.
  2. Convert bytes to kibibytes:

    • 1 byte = 1 / 1,024 kibibytes = 0.0001220703125 KiB.
  3. Combine steps:

    • 1 bps = 0.0001220703125 KiB/s.

Real-World Examples:

To give you a better understanding, let’s look at some real-world scenarios for higher quantities:

Example 1: Internet Speeds

  • 10 Mbps (megabits per second):
    • Base 10: 10 Mbps = 10,000,000 bits/second = 10,000,000 / 8 bytes/second = 1,250,000 bytes/second = 1,250 KB/s.
    • Base 2: 10 Mbps = 10,000,000 bits/second = 10,000,000 / 8 bytes/second = 1,250,000 bytes/second = 1,250,000 / 1,024 KiB/s ≈ 1,220.7 KiB/s.

Example 2: File Downloads

  • 100 Mbps:
    • Base 10: 100 Mbps = 100,000,000 bits/second = 100,000,000 / 8 bytes/second = 12,500,000 bytes/second = 12,500 KB/s.
    • Base 2: 100 Mbps = 100,000,000 bits/second = 100,000,000 / 8 bytes/second = 12,500,000 bytes/second = 12,500,000 / 1,024 KiB/s ≈ 12,207 KiB/s.

Example 3: Ethernet Speeds

  • 1 Gbps (gigabit per second):
    • Base 10: 1 Gbps = 1,000,000,000 bits/second = 1,000,000,000 / 8 bytes/second = 125,000,000 bytes/second = 125,000 KB/s.
    • Base 2: 1 Gbps = 1,000,000,000 bits/second = 1,000,000,000 / 8 bytes/second = 125,000,000 bytes/second = 125,000,000 / 1,024 KiB/s ≈ 122,070.31 KiB/s.

In summary, the conversion from bits per second to kilobytes per second or kibibytes per second involves first converting bits to bytes (dividing by 8) and then converting bytes to the respective kilobytes (dividing by 1,000 for base 10 KB or by 1,024 for base 2 KiB). The two methods yield slightly different results due to the difference in base definitions for kilo and kibi.

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 per second to other unit conversions.

What is bits per second?

Here's a breakdown of bits per second, its meaning, and relevant information for your website:

Understanding Bits per Second (bps)

Bits per second (bps) is a standard unit of data transfer rate, quantifying the number of bits transmitted or received per second. It reflects the speed of digital communication.

Formation of Bits per Second

  • Bit: The fundamental unit of information in computing, representing a binary digit (0 or 1).
  • Second: The standard unit of time.

Therefore, 1 bps means one bit of data is transmitted or received in one second. Higher bps values indicate faster data transfer speeds. Common multiples include:

  • Kilobits per second (kbps): 1 kbps = 1,000 bps
  • Megabits per second (Mbps): 1 Mbps = 1,000 kbps = 1,000,000 bps
  • Gigabits per second (Gbps): 1 Gbps = 1,000 Mbps = 1,000,000,000 bps
  • Terabits per second (Tbps): 1 Tbps = 1,000 Gbps = 1,000,000,000,000 bps

Base 10 vs. Base 2 (Binary)

In the context of data storage and transfer rates, there can be confusion between base-10 (decimal) and base-2 (binary) prefixes.

  • Base-10 (Decimal): As described above, 1 kilobit = 1,000 bits, 1 megabit = 1,000,000 bits, and so on. This is the common usage for data transfer rates.
  • Base-2 (Binary): In computing, especially concerning memory and storage, binary prefixes are sometimes used. In this case, 1 kibibit (Kibit) = 1,024 bits, 1 mebibit (Mibit) = 1,048,576 bits, and so on.

While base-2 prefixes (kibibit, mebibit, gibibit) exist, they are less commonly used when discussing data transfer rates. It's important to note that when representing memory, the actual binary value used in base 2 may affect the data transfer.

Real-World Examples

  • Dial-up Modem: A dial-up modem might have a maximum speed of 56 kbps (kilobits per second).
  • Broadband Internet: A typical broadband internet connection can offer speeds of 25 Mbps (megabits per second) or higher. Fiber optic connections can reach 1 Gbps (gigabit per second) or more.
  • Local Area Network (LAN): Wired LAN connections often operate at 1 Gbps or 10 Gbps.
  • Wireless LAN (Wi-Fi): Wi-Fi speeds vary greatly depending on the standard (e.g., 802.11ac, 802.11ax) and can range from tens of Mbps to several Gbps.
  • High-speed Data Transfer: Thunderbolt 3/4 ports can support data transfer rates up to 40 Gbps.
  • Data Center Interconnects: High-performance data centers use connections that can operate at 400 Gbps, 800 Gbps or even higher.

Relevant Laws and People

While there's no specific "law" directly tied to bits per second, Claude Shannon's work on information theory is fundamental.

  • Claude Shannon: Shannon's work, particularly the Noisy-channel coding theorem, establishes the theoretical maximum rate at which information can be reliably transmitted over a communication channel, given a certain level of noise. While not directly about "bits per second" as a unit, his work provides the theoretical foundation for understanding the limits of data transfer.

SEO Considerations

Using keywords like "data transfer rate," "bandwidth," and "network speed" will help improve search engine visibility. Focus on providing clear explanations and real-world examples to improve user engagement.

What is Kilobytes per second?

Kilobytes per second (KB/s) is a unit of measurement for data transfer rate, indicating how many kilobytes of data are transferred in one second. It's commonly used to express the speed of internet connections, file downloads, and data storage devices. Understanding KB/s is crucial for gauging the performance of data-related activities.

Definition of Kilobytes per second

Kilobytes per second (KB/s) represents the amount of data, measured in kilobytes (KB), that moves from one location to another in a single second. It quantifies the speed at which digital information is transmitted or processed. The higher the KB/s value, the faster the data transfer rate.

How Kilobytes per second is Formed (Base 10 vs. Base 2)

The definition of "kilobyte" can vary depending on whether you're using a base-10 (decimal) or base-2 (binary) system. This difference impacts the interpretation of KB/s.

  • Base 10 (Decimal): In the decimal system, a kilobyte is defined as 1,000 bytes. Therefore:

    1KB=1000bytes1 KB = 1000 bytes

    1KB/s=1000bytes/second1 KB/s = 1000 bytes/second

  • Base 2 (Binary): In the binary system, a kilobyte is defined as 1,024 bytes. This is more relevant in computer science contexts, where data is stored and processed in binary format.

    1KB=210bytes=1024bytes1 KB = 2^{10} bytes = 1024 bytes

    1KB/s=1024bytes/second1 KB/s = 1024 bytes/second

    To avoid ambiguity, the term "kibibyte" (KiB) is often used for the binary kilobyte: 1 KiB = 1024 bytes. So, 1 KiB/s = 1024 bytes/second.

Real-World Examples of Kilobytes per Second

  • Dial-up internet: A typical dial-up internet connection has a maximum speed of around 56 kbps (kilobits per second). This translates to approximately 7 KB/s (kilobytes per second).

  • Early broadband: Older DSL or cable internet plans might offer download speeds of 512 kbps to 1 Mbps, which are equivalent to 64 KB/s to 125 KB/s.

  • File Downloads: When downloading a file, the download speed is often displayed in KB/s or MB/s (megabytes per second). A download speed of 500 KB/s means that 500 kilobytes of data are being downloaded every second.

  • Streaming Music: Streaming audio often requires a data transfer rate of 128-320 kbps, which is about 16-40 KB/s.

  • Data Storage: Older hard drives or USB 2.0 drives may have sustained write speeds in the range of 10-30 MB/s (megabytes per second), which equates to 10,000 - 30,000 KB/s.

Factors Affecting Data Transfer Rate

Several factors influence the data transfer rate:

  • Network Congestion: The amount of traffic on the network can slow down the transfer rate.
  • Hardware Limitations: The capabilities of the sending and receiving devices, as well as the cables connecting them, can limit the speed.
  • Protocol Overhead: Protocols used for data transfer add extra data, reducing the effective transfer rate.
  • Distance: For some types of connections, longer distances can lead to signal degradation and slower speeds.

Complete bits per second conversion table

Enter # of bits per second
Convert 1 bit/s to other unitsResult
bits per second to Kilobits per second (bit/s to Kb/s)0.001
bits per second to Kibibits per second (bit/s to Kib/s)0.0009765625
bits per second to Megabits per second (bit/s to Mb/s)0.000001
bits per second to Mebibits per second (bit/s to Mib/s)9.5367431640625e-7
bits per second to Gigabits per second (bit/s to Gb/s)1e-9
bits per second to Gibibits per second (bit/s to Gib/s)9.3132257461548e-10
bits per second to Terabits per second (bit/s to Tb/s)1e-12
bits per second to Tebibits per second (bit/s to Tib/s)9.0949470177293e-13
bits per second to bits per minute (bit/s to bit/minute)60
bits per second to Kilobits per minute (bit/s to Kb/minute)0.06
bits per second to Kibibits per minute (bit/s to Kib/minute)0.05859375
bits per second to Megabits per minute (bit/s to Mb/minute)0.00006
bits per second to Mebibits per minute (bit/s to Mib/minute)0.00005722045898438
bits per second to Gigabits per minute (bit/s to Gb/minute)6e-8
bits per second to Gibibits per minute (bit/s to Gib/minute)5.5879354476929e-8
bits per second to Terabits per minute (bit/s to Tb/minute)6e-11
bits per second to Tebibits per minute (bit/s to Tib/minute)5.4569682106376e-11
bits per second to bits per hour (bit/s to bit/hour)3600
bits per second to Kilobits per hour (bit/s to Kb/hour)3.6
bits per second to Kibibits per hour (bit/s to Kib/hour)3.515625
bits per second to Megabits per hour (bit/s to Mb/hour)0.0036
bits per second to Mebibits per hour (bit/s to Mib/hour)0.003433227539063
bits per second to Gigabits per hour (bit/s to Gb/hour)0.0000036
bits per second to Gibibits per hour (bit/s to Gib/hour)0.000003352761268616
bits per second to Terabits per hour (bit/s to Tb/hour)3.6e-9
bits per second to Tebibits per hour (bit/s to Tib/hour)3.2741809263825e-9
bits per second to bits per day (bit/s to bit/day)86400
bits per second to Kilobits per day (bit/s to Kb/day)86.4
bits per second to Kibibits per day (bit/s to Kib/day)84.375
bits per second to Megabits per day (bit/s to Mb/day)0.0864
bits per second to Mebibits per day (bit/s to Mib/day)0.0823974609375
bits per second to Gigabits per day (bit/s to Gb/day)0.0000864
bits per second to Gibibits per day (bit/s to Gib/day)0.00008046627044678
bits per second to Terabits per day (bit/s to Tb/day)8.64e-8
bits per second to Tebibits per day (bit/s to Tib/day)7.8580342233181e-8
bits per second to bits per month (bit/s to bit/month)2592000
bits per second to Kilobits per month (bit/s to Kb/month)2592
bits per second to Kibibits per month (bit/s to Kib/month)2531.25
bits per second to Megabits per month (bit/s to Mb/month)2.592
bits per second to Mebibits per month (bit/s to Mib/month)2.471923828125
bits per second to Gigabits per month (bit/s to Gb/month)0.002592
bits per second to Gibibits per month (bit/s to Gib/month)0.002413988113403
bits per second to Terabits per month (bit/s to Tb/month)0.000002592
bits per second to Tebibits per month (bit/s to Tib/month)0.000002357410266995
bits per second to Bytes per second (bit/s to Byte/s)0.125
bits per second to Kilobytes per second (bit/s to KB/s)0.000125
bits per second to Kibibytes per second (bit/s to KiB/s)0.0001220703125
bits per second to Megabytes per second (bit/s to MB/s)1.25e-7
bits per second to Mebibytes per second (bit/s to MiB/s)1.1920928955078e-7
bits per second to Gigabytes per second (bit/s to GB/s)1.25e-10
bits per second to Gibibytes per second (bit/s to GiB/s)1.1641532182693e-10
bits per second to Terabytes per second (bit/s to TB/s)1.25e-13
bits per second to Tebibytes per second (bit/s to TiB/s)1.1368683772162e-13
bits per second to Bytes per minute (bit/s to Byte/minute)7.5
bits per second to Kilobytes per minute (bit/s to KB/minute)0.0075
bits per second to Kibibytes per minute (bit/s to KiB/minute)0.00732421875
bits per second to Megabytes per minute (bit/s to MB/minute)0.0000075
bits per second to Mebibytes per minute (bit/s to MiB/minute)0.000007152557373047
bits per second to Gigabytes per minute (bit/s to GB/minute)7.5e-9
bits per second to Gibibytes per minute (bit/s to GiB/minute)6.9849193096161e-9
bits per second to Terabytes per minute (bit/s to TB/minute)7.5e-12
bits per second to Tebibytes per minute (bit/s to TiB/minute)6.821210263297e-12
bits per second to Bytes per hour (bit/s to Byte/hour)450
bits per second to Kilobytes per hour (bit/s to KB/hour)0.45
bits per second to Kibibytes per hour (bit/s to KiB/hour)0.439453125
bits per second to Megabytes per hour (bit/s to MB/hour)0.00045
bits per second to Mebibytes per hour (bit/s to MiB/hour)0.0004291534423828
bits per second to Gigabytes per hour (bit/s to GB/hour)4.5e-7
bits per second to Gibibytes per hour (bit/s to GiB/hour)4.1909515857697e-7
bits per second to Terabytes per hour (bit/s to TB/hour)4.5e-10
bits per second to Tebibytes per hour (bit/s to TiB/hour)4.0927261579782e-10
bits per second to Bytes per day (bit/s to Byte/day)10800
bits per second to Kilobytes per day (bit/s to KB/day)10.8
bits per second to Kibibytes per day (bit/s to KiB/day)10.546875
bits per second to Megabytes per day (bit/s to MB/day)0.0108
bits per second to Mebibytes per day (bit/s to MiB/day)0.01029968261719
bits per second to Gigabytes per day (bit/s to GB/day)0.0000108
bits per second to Gibibytes per day (bit/s to GiB/day)0.00001005828380585
bits per second to Terabytes per day (bit/s to TB/day)1.08e-8
bits per second to Tebibytes per day (bit/s to TiB/day)9.8225427791476e-9
bits per second to Bytes per month (bit/s to Byte/month)324000
bits per second to Kilobytes per month (bit/s to KB/month)324
bits per second to Kibibytes per month (bit/s to KiB/month)316.40625
bits per second to Megabytes per month (bit/s to MB/month)0.324
bits per second to Mebibytes per month (bit/s to MiB/month)0.3089904785156
bits per second to Gigabytes per month (bit/s to GB/month)0.000324
bits per second to Gibibytes per month (bit/s to GiB/month)0.0003017485141754
bits per second to Terabytes per month (bit/s to TB/month)3.24e-7
bits per second to Tebibytes per month (bit/s to TiB/month)2.9467628337443e-7

Data transfer rate conversions