Gibibits per hour to Mebibytes per hour conversion

How to convert gibibits per hour to mebibytes per hour?

To convert Gibibits per hour (Gib/h) to Mebibytes per hour (MiB/h), you need to understand the relationships between the units Gibibit, Mebibyte, and their conversions.

1 Gibibit (Gib) = 2^30 bits (because "Gibi" uses binary prefix). 1 Mebibyte (MiB) = 2^20 bytes (because "Mebi" uses binary prefix).

Since there are 8 bits in a byte: 1 Mebibyte = 2^20 * 8 bits = 2^23 bits.

Now, let's convert 1 Gibibit per hour to Mebibytes per hour using the base 2 standard.

Conversion using Base 2 (Binary Prefix)

1 Gibibits (Gib) = 2^30 bits

Mebibyte (MiB) = 2^20 bytes = 2^23 bits (since 1 byte = 8 bits)

So, to convert 1 Gibibits per hour (Gib/h) to Mebibytes per hour (MiB/h):

1 Gib/h = 2^30 bits per hour

To get this value in Mebibytes per hour: $\frac{2^{30}\ \text{bits}}{2^{23}\ \text{bits per MiB}} = 2^{30 - 23}\ \text{MiB} = 2^7\ \text{MiB} = 128\ \text{MiB/h}$

Therefore, 1 Gibibit per hour is equal to 128 Mebibytes per hour in base 2.

Conversion using Base 10 (Decimal Prefix)

While the binary conversion is the standard for data storage, sometimes data rates use decimal (base 10) units, where: 1 Gigabit (Gb) = 10^9 bits 1 Megabyte (MB) = 10^6 bytes

So for base 10, to convert 1 Gigabits per hour (Gb/h) to Megabytes per hour (MB/h): $1\ \text{Gb/h} = \frac{10^9\ \text{bits}}{10^6\ \text{bytes}} \cdot \frac{1\ \text{byte}}{8\ \text{bits}} = \frac{10^9}{8 \times 10^6}\ \text{MB}$ $= 125\ \text{MB/h}$

Therefore, 1 Gigabit per hour is 125 Megabytes per hour in base 10.

Real-world Examples

• Streaming Video: Let's assume a streaming service streams at a rate of 20 Gibibits per hour. Using our base 2 conversion, this would be: $20\ \text{Gib/h} \times 128\ \text{MiB/Gib} = 2560\ \text{MiB/h} \ = \ 2.5\ \text{GiB/h} \approx 2.56 \ \text{GiB/h}$

• Data Backup: A backup system might transfer data at a rate of 50 Gibibits per hour. Using our base 2 conversion, this would be: $50\ \text{Gib/h} \times 128\ \text{MiB/Gib} = 6400\ \text{MiB/h} = 6.25\ \text{GiB/h}$

• Internet Service Provider (ISP) Data Plan: If an ISP advertises a speed of 100 Gigabits per hour using base 10, it would translate to: $100\ \text{Gb/h} \times 125\ \text{MB/Gb} = 12500\ \text{MB/h} = 12.5\ \text{GB/h}$

These real-world examples illustrate how data transfer rates in Gibibits per hour can be important for understanding the speed and efficiency of various data-intensive activities like video streaming, data backup, and internet service speeds.