bits per minute to Gigabytes per second conversion

How to convert bits per minute to gigabytes per second?

To convert 1 bit per minute to gigabytes per second (GBps), you need to follow these steps:

1. Convert minutes to seconds: Since there are 60 seconds in a minute, you need to divide by 60 to convert from per minute to per second.

   $1 \text{ bit per minute} = \frac{1 \text{ bit}}{60 \text{ seconds}}$ So, 1 bit per minute is approximately $0.0166667$ bits per second (bps).

2. Convert bits to bytes: There are 8 bits in a byte.

   $0.0166667 \text{ bps} = \frac{0.0166667}{8} \text{ bytes per second (Bps)}$ This is approximately $0.00208334$ bytes per second.

3. Convert bytes to gigabytes:

   • Base 10 (Decimal System): In base 10, one gigabyte (GB) is $10^9$ bytes.

     $0.00208334 \text{ Bps} = \frac{0.00208334}{10^9} \text{ GBps}$

     This is approximately $2.08334 \times 10^{-12}$ gigabytes per second.

   • Base 2 (Binary System): In base 2, one gibibyte (GiB) is $2^{30}$ bytes.

     $0.00208334 \text{ Bps} = \frac{0.00208334}{2^{30}} \text{ GiBps}$

     This is approximately $1.93951 \times 10^{-12}$ gibibytes per second.

Summary

• 1 bit per minute = $2.08334 \times 10^{-12}$ GBps (Base 10)
• 1 bit per minute = $1.93951 \times 10^{-12}$ GiBps (Base 2)

Real World Examples for Other Quantities of Bits per Minute

Let's consider some higher rates for better context:

1. 1,000 bits per minute:

   • Base 10: $2.08334 \times 10^{-9}$ GBps
   • Base 2: $1.93951 \times 10^{-9}$ GiBps

2. 1,000,000 bits per minute (1 Mbps connection speed):

   • Base 10: $2.08334 \times 10^{-6}$ GBps
   • Base 2: $1.93951 \times 10^{-6}$ GiBps

3. 1,000,000,000 bits per minute (1 Gbps connection speed):

   • Base 10: $0.00208334$ GBps
   • Base 2: $0.00193951$ GiBps

Practical Example:

If you're downloading a file with a connection speed of 1 Mbps:

• This translates to $2.08334 \times 10^{-6}$ GBps in base 10, or $1.93951 \times 10^{-6}$ GiBps in base 2.
• Over one hour (3600 seconds), this would lead to a data transfer of:
  • Base 10: $2.08334 \times 10^{-6} \times 3600 \approx 0.0075 \text{ GB}$ or 7.5 MB
  • Base 2: $1.93951 \times 10^{-6} \times 3600 \approx 0.007 \text{ GiB}$ or 7.0 MiB

Comparing both bases provides a clearer understanding of how these units impact your data calculations in real-world scenarios.