bits per second to Kibibytes per second conversion

How to convert bits per second to kibibytes per second?

To convert bits per second (bps) to Kibibytes per second (KiBps), you need to know the relationships between bits, bytes, and kibibytes. Here's the process for both base 10 and base 2:

Base 10 (Decimal):

1 byte = 8 bits 1 kilobyte (kB) = 1000 bytes (base 10)

1 bits per second = 1 bps $1 \text{ bps} = \frac{1 \text{ bps}}{8 \text{ bits/byte}}$ = 0.125 bytes per second (Bps)

Then convert bytes to kilobytes: $0.125 \text{ Bps} = \frac{0.125 \text{ Bps}}{1000 \text{ bytes/kB}} = 0.000125$ kilobytes per second (kBps)

To convert kilobytes to kibibytes: 1 kibibyte (KiB) = 1024 bytes (base 2)

Example for Base 10:

$1 \text{ bps} = 0.000125$ kBps = $\frac{0.000125}{1.024} = 0.00012207$ KiBps

Base 2 (Binary):

1 byte = 8 bits 1 Kibibyte (KiB) = 1024 bytes (base 2)

1 bits per second = 1 bps $1 \text{ bps} = \frac{1 \text{ bps}}{8 \text{ bits/byte}} = 0.125$ bytes per second (Bps)

Convert bytes to kibibytes: $0.125 \text{ Bps} = \frac{0.125 \text{ Bps}}{1024 \text{ bytes/KiB}} = 0.00012207$ Kibibytes per second (KiBps)

Real World Examples:

Here are some real-world quantities and their equivalents:

1. Dial-Up Internet Connection – 56,000 bps (56 kbps) $56,000 \text{ bps} = \frac{56,000 \text{ bps}}{8} = 7000 \text{ Bps} = \frac{7000}{1024} \approx 6.84 \text{ KiBps}$

2. Standard Ethernet – 100,000,000 bps (100 Mbps) $100,000,000 \text{ bps} = \frac{100,000,000 \text{ bps}}{8} = 12,500,000 \text{ Bps} = \frac{12,500,000}{1024} \approx 12,207 \text{ KiBps}$

3. DVD-ROM Drive – 11,080,000 bps (~10.7 Mbps) $11,080,000 \text{ bps} = \frac{11,080,000 \text{ bps}}{8} = 1,385,000 \text{ Bps} = \frac{1,385,000}{1024} \approx 1352 \text{ KiBps}$

Using these conversions, you can determine the data transfer rate in Kibibytes per second for any given rate in bits per second.