Megabits per second to Gibibytes per hour conversion

How to convert megabits per second to gibibytes per hour?

Sure, let's go through the conversion process and look at the formulas and calculations.

Conversion to Gibibytes per Hour

1 Megabit per second (Mbps) specifies the data transfer rate:

• 1 Megabit (Mb) = $10^6$ bits (base 10)
• 1 Megabit (Mb) = $2^{20}$ bits (base 2)

To convert this to Gibibytes per hour:

1 byte = 8 bits 1 Gibibyte (GiB) = $2^{30}$ bytes (base 2)

Base 10 Conversion

1. Convert Megabits to Gigabits (base 10).

$1 \text{ Mbps} = 1 \times 10^6 \text{ bits per second}$

2. Convert bits to bytes.

$1 \text{ Mbps} = \frac{10^6}{8} = 125,000 \text{ bytes per second}$

3. Convert seconds to hours.

$1 \text{ Mbps} = 125,000 \text{ bytes per second} \times 3600 \text{ seconds per hour} = 450,000,000 \text{ bytes per hour}$

4. Convert bytes to Gibibytes (base 2).

$1 \text{ GiB} = 2^{30} \text{ bytes} \approx 1,073,741,824 \text{ bytes}$

$1 \text{ Mbps} = \frac{450,000,000 \text{ bytes}}{1,073,741,824 \text{ bytes per GiB}} \approx 0.419 GiB \text{ per hour}$

Base 2 Conversion

1. Convert Megabits to Megabits (base 2).

$1 \text{ Mbps} = 1 \times 2^{20} \text{ bits per second}$

2. Convert bits to bytes.

$1 \text{ Mbps} = \frac{2^{20}}{8} = 131,072 \text{ bytes per second}$

3. Convert seconds to hours.

$1 \text{ Mbps} = 131,072 \text{ bytes per second} \times 3600 \text{ seconds per hour} = 471,859,200 \text{ bytes per hour}$

4. Convert bytes to Gibibytes (base 2).

$1 \text{ GiB} = 2^{30} \text{ bytes}$

$1 \text{ Mbps} = \frac{471,859,200 \text{ bytes}}{1,073,741,824 \text{ bytes per GiB}} \approx 0.439 GiB \text{ per hour}$

So, depending on whether using the base 10 or base 2 definition, 1 Mbps converts to approximately:

• 0.419 GiB per hour using base 10.
• 0.439 GiB per hour using base 2.

Real World Examples for Other Quantities of Megabits per Second:

• Netflix Streaming: Standard definition streams at about 3 Mbps, which translates to about 1.257 GiB per hour (base 2).
• YouTube Streaming: High-definition videos on YouTube typically stream at around 5-8 Mbps, which translates to about 2.195-3.512 GiB per hour (base 2) respectively.
• 4K Streaming: Platforms like Netflix require approximately 25 Mbps for 4K streaming, which translates to about 10.98 GiB per hour (base 2).
• Downloading a Game: Downloading a large game at 50 Mbps would transfer 21.95 GiB per hour (base 2).

I hope that helps! Let me know if you have more specific use-cases or further questions!