Mebibits per second to Gigabytes per second conversion

How to convert mebibits per second to gigabytes per second?

Converting Mebibits per second (Mibps) to Gigabytes per second (GBps) involves understanding both the base 2 and base 10 systems. Let's break it down for each:

Base 2 System (Binary)

1 Mebibit = 2^20 bits = 1,048,576 bits 1 Gigabyte (GB) = 2^30 bytes = 1,073,741,824 bytes 1 byte = 8 bits

First, convert Mibps to bits per second (bps): $1 \text{ Mibps} = 1,048,576 \text{ bits per second}$

Next, convert bits per second to bytes per second: $1,048,576 \ \text{bps} \ \div \ 8 \ = \ 131,072 \ \text{bytes per second}$

Finally, convert bytes per second to Gigabytes per second: $131,072 \ \text{bytes per second} \ \div \ 1,073,741,824 \ = \approx 0.000122 \ \text{GBps} $

Base 10 System (Decimal)

1 Mebibit (Mibit) = 2^20 bits = 1,048,576 bits (same as base 2) 1 Gigabyte (GB) = 10^9 bytes 1 byte = 8 bits

First, convert Mibps to bits per second (same as base 2): $1 \text{ Mibps} = 1,048,576 \text{ bits per second}$

Next, convert bits per second to bytes per second: $1,048,576 \ \text{bps} \ \div \ 8 = 131,072 \ \text{ bytes per second}$

Finally, convert bytes per second to Gigabytes per second using base 10 Gigabytes: $131,072 \ \text{ bytes per second} \ \div \ 1,000,000,000 \ = \approx 0.000131 \ \text{GBps}$

Summary

• Base 2: 1 Mibps ≈ 0.000122 GBps
• Base 10: 1 Mibps ≈ 0.000131 GBps

Real-World Examples for Various Mibps Values

1. Streaming Videos:

   • Standard Definition (SD) Streaming:

     • 5 Mibps (Base 2): 5 Mibps ≈ 0.00061 GBps
     • 5 Mibps (Base 10): 5 Mibps ≈ 0.000655 GBps

   • High Definition (HD) Streaming:

     • 20 Mibps (Base 2): 20 Mibps ≈ 0.00244 GBps
     • 20 Mibps (Base 10): 20 Mibps ≈ 0.00262 GBps

2. Online Gaming:

   • Low Latency/Real-time Gaming:
     • 1-2 Mibps (Base 2): 1-2 Mibps ≈ 0.000122-0.000244 GBps
     • 1-2 Mibps (Base 10): 1-2 Mibps ≈ 0.000131-0.000262 GBps

3. File Downloads:

   • Downloading a Medium Size Software (500 Mibps, 2 seconds):
     • 500 Mibps (Base 2): 500 Mibps ≈ 0.0610 GBps
     • 500 Mibps (Base 10): 500 Mibps ≈ 0.0655 GBps

These examples illustrate both base 2 and base 10 conversions for various common scenarios, helping to provide a practical grasp of converting data transfer rates.