Kibibytes per second to Kilobits per second conversion

How to convert kibibytes per second to kilobits per second?

To convert from Kibibytes per second (KiB/s) to Kilobits per second (kbps), you need to be aware of the difference in units between Kibibytes and Kilobits as well as the bases they use.

Conversion Factors

1. Base 2 (Binary)

   • 1 Kibibyte (KiB) = 1,024 bytes
   • 1 byte = 8 bits
   • Therefore, 1 KiB = 1,024 bytes * 8 bits/byte = 8,192 bits

2. Base 10 (Decimal)

   • 1 kilobyte (kB) = 1,000 bytes
   • 1 byte = 8 bits
   • Therefore, 1 kB = 1,000 bytes * 8 bits/byte = 8,000 bits

Conversions

Since 1 KiB = 1,024 bytes in base 2:

• Base 2: 1 KiB/s (Kibibytes per second) = 1,024 bytes/s * 8 bits/byte = 8,192 bits per second (bps) To convert to Kilobits per second (kbps): $\text{Kilobits per second} = \frac{8,192 \text{ bps}}{1,000 \text{ bits per kilobit}} = 8.192 \text{ kbps}$

• Base 10: 1 KiB/s (assuming equivalence to 1.024 modern kB/s) = 1,024 bytes/s * 8 bits/byte = 8,192 bits per second (bps) To convert to Kilobits per second (kbps): $\text{Kilobits per second} = \frac{8,192 \text{ bps}}{1,024 \text{ bits per kilobit}} = 8 \text{ kbps}$

Real-world Examples

1. 50 KiB/s:

   • Base 2: 50 KiB/s = 50 * 8.192 kbps = 409.6 kbps
   • Base 10: 50 KiB/s = 50 * 8 kbps = 400 kbps

2. 100 KiB/s:

   • Base 2: 100 KiB/s = 100 * 8.192 kbps = 819.2 kbps
   • Base 10: 100 KiB/s = 100 * 8 kbps = 800 kbps

3. 500 KiB/s:

   • Base 2: 500 KiB/s = 500 * 8.192 kbps = 4,096 kbps
   • Base 10: 500 KiB/s = 500 * 8 kbps = 4,000 kbps

4. 1 MiB/s (1,024 KiB/s):

   • Base 2: 1,024 KiB/s = 1,024 * 8.192 kbps = 8,388.608 kbps ≈ 8,389 kbps
   • Base 10: 1,024 KiB/s = 1,024 * 8 kbps = 8,192 kbps

Summary

The conversions can differ depending on the base used (base 2 vs. base 10). The base 2 conversions are often seen in computing contexts involving memory and file sizes, while base 10 is commonly used in networking contexts for simplicity.