Bytes per second to Megabytes per second conversion

How to convert bytes per second to megabytes per second?

Sure, let's go through the process of converting bytes per second (Bps) to megabytes per second (MBps) and then look at some real-world examples.

Conversion from Bytes per Second to Megabytes per Second

Base 10 (Decimal System)

In the decimal system, the conversion factors are based on powers of 10.

• 1 Kilobyte (KB) = 1,000 Bytes
• 1 Megabyte (MB) = 1,000,000 Bytes

So, to convert from bytes per second to megabytes per second: $\text{MBps} = \frac{\text{Bps}}{1,000,000}$

For example, to convert 1 Byte per second to Megabytes per second: $1 \, \text{Bps} = \frac{1}{1,000,000} \, \text{MBps} = 0.000001 \, \text{MBps}$

Base 2 (Binary System)

In the binary system, the conversion factors are based on powers of 2.

• 1 Kibibyte (KiB) = 1,024 Bytes
• 1 Mebibyte (MiB) = 1,024 KiB = 1,048,576 Bytes

So, to convert from bytes per second to mebibytes per second: $\text{MiBps} = \frac{\text{Bps}}{1,048,576}$

For example, to convert 1 Byte per second to Mebibytes per second: $1 \, \text{Bps} = \frac{1}{1,048,576} \, \text{MiBps} = 0.00000095367 \, \text{MiBps}$

Real-World Examples

• 56 Kbps Dial-up Internet Connection:

  • 56,000 bits per second (bps) = 7,000 Bytes per second (Bps)
  • In MBps (base 10): $\frac{7,000 \, \text{Bps}}{1,000,000} = 0.007 \, \text{MBps}$
  • In MiBps (base 2): $\frac{7,000 \, \text{Bps}}{1,048,576} \approx 0.006675 \, \text{MiBps}$

• 10 Mbps Fast Ethernet Connection:

  • 10,000,000 bits per second (bps) = 1,250,000 Bytes per second (Bps)
  • In MBps (base 10): $\frac{1,250,000 \, \text{Bps}}{1,000,000} = 1.25 \, \text{MBps}$
  • In MiBps (base 2): $\frac{1,250,000 \, \text{Bps}}{1,048,576} \approx 1.1921 \, \text{MiBps}$

• Gigabit Ethernet Connection:

  • 1,000,000,000 bits per second (bps) = 125,000,000 Bytes per second (Bps)
  • In MBps (base 10): $\frac{125,000,000 \, \text{Bps}}{1,000,000} = 125 \, \text{MBps}$
  • In MiBps (base 2): $\frac{125,000,000 \, \text{Bps}}{1,048,576} \approx 119.209 \, \text{MiBps}$

Understanding these conversions is useful for comparing performance specifications of different network equipment and for computing data transfer times for various digital tasks.