Kibibits per second to Bytes per second conversion

How to convert kibibits per second to bytes per second?

Converting Kibibits per second (Kib/s) to Bytes per second (B/s) requires understanding the differences between base 2 (binary) and base 10 (decimal) units. In base 2, "kibi" is a prefix that stands for 1024 (or 2^10), while in base 10, "kilo" stands for 1000.

Base 2 (Binary)

1 Kibibit (Kibit) = 1024 bits (since 1 Kibibit is 2^10 bits).

To convert Kibibits per second to Bytes per second in base 2:

1. Convert Kibibits to bits: 1 Kib/s = 1024 bits per second.
2. Convert bits to Bytes: 1 Byte = 8 bits.

So, 1 Kib/s = 1024 bits/s ÷ 8 bits/Byte = 128 Bytes per second (B/s).

Base 10 (Decimal)

If we were talking about Kilobits per second (Kb/s), which is base 10: 1 Kilobit (Kb) = 1000 bits.

To convert Kilobits per second to Bytes per second in base 10:

1. Convert Kilobits to bits: 1 Kb/s = 1000 bits per second.
2. Convert bits to Bytes: 1 Byte = 8 bits.

So, 1 Kb/s = 1000 bits/s ÷ 8 bits/Byte = 125 Bytes per second (B/s).

Real-World Examples

Here are some further quantities of Kibibits per second and their conversions:

1. 10 Kibibits per second (10 Kib/s):

   • Base 2: 10 Kib/s = 10 × 1024 bits/s = 10240 bits/s ÷ 8 bits/Byte = 1280 B/s.
   • Base 10: 10 Kb/s = 10 × 1000 bits/s = 10000 bits/s ÷ 8 bits/Byte = 1250 B/s.

2. 100 Kibibits per second (100 Kib/s):

   • Base 2: 100 Kib/s = 100 × 1024 bits/s = 102400 bits/s ÷ 8 bits/Byte = 12800 B/s.
   • Base 10: 100 Kb/s = 100 × 1000 bits/s = 100000 bits/s ÷ 8 bits/Byte = 12500 B/s.

3. 1024 Kibibits per second (1024 Kib/s):

   • Base 2: 1024 Kib/s = 1024 × 1024 bits/s = 1048576 bits/s ÷ 8 bits/Byte = 131072 B/s.
   • Base 10: The closest equivalent in base 10 is 1024 Kb/s = 1024 × 1000 bits/s = 1024000 bits/s ÷ 8 bits/Byte = 128000 B/s.

4. 1 Mebibit per second (1 Mib/s):

   • 1 Mib/s = 2^20 bits/s = 1048576 bits/s ÷ 8 bits/Byte = 131072 B/s.
   • Note: This is inherently in base 2. The closest base 10 comparison would be 1 Megabit per second (1 Mb/s) = 1000000 bits/s ÷ 8 bits/Byte = 125000 B/s.

Summary

• 1 Kibibit per second (Kib/s) in base 2 equals 128 Bytes per second (B/s).
• 1 Kilobit per second (Kb/s) in base 10 equals 125 Bytes per second (B/s).

Different prefixes and contexts (like "kibi-" in base 2 and "kilo-" in base 10) can affect these conversions, so knowing the specific use case is important.