Megabits per hour to Gibibytes per minute conversion

How to convert megabits per hour to gibibytes per minute?

To convert 1 Megabit per hour (Mbps) to Gibibytes per minute, we need to go through several steps. Let's understand both base 10 and base 2 conversions.

1. Base 10 Conversion (Decimal-based calculation):

   a. Convert Megabits to Bits:

   • 1 Megabit (Mb) = 1,000,000 bits (since 1 Megabit = $10^6$ bits)

   b. Convert Bits to Bytes:

   • 1 byte = 8 bits
   • 1 Megabit = 1,000,000 bits / 8 = 125,000 bytes

   c. Convert Bytes to Gigabytes (GB):

   • 1 Gigabyte (GB) = $10^9$ bytes (since a GB in base 10 is $10^9$ bytes)
   • 1 Megabit = 125,000 bytes = 0.000125 GB

   d. Convert from Hours to Minutes:

   • There are 60 minutes in an hour, so the rate in gigabytes per minute will be:
   • (0.000125 GB) / 60 minutes = $2.08333 \times 10^{-6}$ GB per minute

   e. Convert Gigabytes to Gibibytes (thorough converting bytes not direct GB):

   • 1 Gigabyte (GB) = 1,024^3 bytes (in base 2, but using base 10)

   • So, approximately, $2.08333 \times 10^{-6}$ GB is:

   • $2.08333 \times 10^{-6}$ GB / 1.07374 = $1.94035 \times 10^{-6}$ GiB (by considering 1 GB = 1.07374 GiB conversion factor).

2. Base 2 Conversion (Binary-based calculation):

   a. Convert Megabits to Bits:

   • 1 Megabit (Mb) = 1 MeBibit (MiB) = 1,048,576 bits (since $1 Mebibit = 2^{20}$ bits)

   b. Convert Bits to Bytes:

   • 1 byte = 8 bits
   • 1 Megabit = 1,048,576 bits / 8 = 131,072 bytes

   c. Convert Bytes to Gibibytes (GiB):

   • 1 Gibibyte (GiB) = $2^{30}$ bytes = 1,073,741,824 bytes
   • 1 Megabit = 131,072 bytes = 0.0001220703 GiB

   d. Convert from Hours to Minutes:

   • There are 60 minutes in an hour, so the rate in Gigibytes per minute is:
   • $0.0001220703\ GiB / 60\ minutes = 2.034505 \times 10^{-6} GiB$ per minute

Summary:

• Base 10 (Decimal-based): Approximately $1.94035 \times 10^{-6}$ GiB per minute
• Base 2 (Binary-based): Approximately $2.034505 \times 10^{-6}$ GiB per minute

Real World Examples:

1. A 720p video streaming might use around 2.5 Megabits per second (Mbps).

   • In an hour, that's $2.5 \times 3600 = 9000$ Megabits per hour.
   • Using base 2 conversion: $9000\text{ Mbit/hr}$ is $0.01831001\text{ GiB/min}$.

2. A high-quality audio stream could be around 320 kilobits per second (Kbps).

   • In an hour, that's $320 \times 60 = 19200$ kilobits per hour = 19.2 Megabits per hour.
   • Using base 2 conversion: $19.2\text{ Mbit/hr}$ is $3.892 \times 10^{-5}\text{ GiB/min}$.

3. Average Internet usage could be around 60 Mbps during a heavy browsing session.

   • In an hour, that's $60 \times 60 = 3600$ Megabits per hour.
   • Using base 2 conversion: $3600\text{ Mbit/hr}$ is $0.00734322\text{ GiB/min}$.