Bytes per second to Megabits per minute conversion

How to convert bytes per second to megabits per minute?

To convert 1 Byte per second (Bps) to Megabits per minute (Mbps), you need to consider the following steps:

1. Understand the units:

   • 1 Byte (B) = 8 bits (b).
   • 1 minute = 60 seconds.
   • 1 Megabit (Mb) = $10^6$ bits (base 10) or $2^{20}$ bits (base 2).

2. Convert Bytes per second to bits per second (bps): $1\, \text{Bps} = 8\, \text{bps}$

3. Convert bits per second to bits per minute: $8\, \text{bps} \times 60\, \text{seconds} = 480\, \text{bits per minute}$

Base 10 (Decimal, SI):

4. Convert bits per minute to Megabits per minute: $\frac{480\, \text{bits}}{10^6} = 4.8 \times 10^{-4} \, \text{Mb/min}$

Base 2 (Binary, IEC):

4. Convert bits per minute to Megabits per minute: $\frac{480\, \text{bits}}{2^{20}} \approx \frac{480}{1048576} \approx 4.577 \times 10^{-4} \, \text{Mb/min}$

Real World Examples:

1. 100 Bytes per second (Bps):

   • Base 10: $100 \, \text{Bps} \times 8 \, \text{bits} \times 60 \, \text{seconds} = 48000 \, \text{bits per minute}$ $\frac{48000}{10^6} = 4.8 \times 10^{-2} \, \text{Mb/min}$
   • Base 2: $\frac{48000}{2^{20}} \approx 0.0458 \, \text{Mb/min}$

2. 10 Kilobytes per second (KBps):

   • Note: 1 KB = 1000 bytes (Base 10), 1024 bytes (Base 2)
   • Base 10: $10 \, \text{KBps} \times 1000 \, \text{bytes} \times 8 \, \text{bits} \times 60 \, \text{seconds} = 4800000 \, \text{bits per minute}$ $\frac{4800000}{10^6} = 4.8 \, \text{Mb/min}$
   • Base 2: $10 \, \text{KBps} \times 1024 \, \text{bytes} \times 8 \, \text{bits} \times 60 \, \text{seconds} = 4915200 \, \text{bits per minute}$ $\frac{4915200}{2^{20}} \approx 4.69 \, \text{Mb/min}$

3. 1 Megabyte per second (MBps):

   • Note: 1 MB = $10^6$ bytes (Base 10), $2^{20}$ bytes (Base 2)
   • Base 10: $1 \, \text{MBps} \times 10^6 \, \text{bytes} \times 8 \, \text{bits} \times 60 \, \text{seconds} = 480000000 \, \text{bits per minute}$ $\frac{480000000}{10^6} = 480 \, \text{Mb/min}$
   • Base 2: $1 \, \text{MBps} \times 2^{20} \, \text{bytes} \times 8 \, \text{bits} \times 60 \, \text{seconds} = 503316480 \, \text{bits per minute}$ $\frac{503316480}{2^{20}} = 480 \, \text{Mb/min}$

This shows the conversion process and demonstrates the difference between base 10 and base 2 calculations with Bytes per second to Megabits per minute.