Gigabits per second to Megabytes per second conversion

How to convert gigabits per second to megabytes per second?

To convert 1 Gigabit per second (Gbps) to Megabytes per second (MBps), you need to understand the relationship between bits and bytes, as well as the different numeral systems used.

1. Base 10 (Decimal System):

In base 10, 1 Gigabit is:

• $1 Gigabit (Gb) = 10^9 bits$.

Since there are 8 bits in 1 byte:

• $1 byte = 8 bits$.

Therefore: $1 Gigabit = 1 \times 10^9 \text{ bits} = \frac{10^9 \text{ bits}}{8} = 125 \times 10^6 \text{ bytes} = 125 Megabytes (MB)$.

And per second: $1 Gbps = 125 \text{ MBps} \text{ (Megabytes per second)}.$

2. Base 2 (Binary System):

In base 2, 1 Gigabit is:

• $1 Gibibit (Gib) = 2^{30} \text{ bits} = 1,073,741,824 \text{ bits}$.

Again, there are 8 bits in 1 byte:

• $1 byte = 8 bits$.

Therefore: $1 Gibibit = 1,073,741,824 \text{ bits} = \frac{1,073,741,824 \text{ bits}}{8} = 134,217,728 \text{ bytes} = 128 \text{ Mebibytes (MiB)}$.

And per second: $1 Gibibit per second (Gibps) = 128 \text{ MiBps} \text{ (Mebibytes per second)}.$

Real-World Examples of Other Quantities of Gigabits per Second

1. 2 Gigabits per second (Gbps) in Base 10: $2 Gbps = 2 \times 125 \text{ MBps} = 250 \text{ MBps}.$ In Base 2: $2 Gibps = 2 \times 128 \text{ MiBps} = 256 \text{ MiBps}.$

2. 5 Gigabits per second (Gbps) in Base 10: $5 Gbps = 5 \times 125 \text{ MBps} = 625 \text{ MBps}.$ In Base 2: $5 Gibps = 5 \times 128 \text{ MiBps} = 640 \text{ MiBps}.$

3. 10 Gigabits per second (Gbps) in Base 10: $10 Gbps = 10 \times 125 \text{ MBps} = 1250 \text{ MBps}.$ In Base 2: $10 Gibps = 10 \times 128 \text{ MiBps} = 1280 \text{ MiBps}.$

These conversions are crucial when interpreting speeds related to network interfaces, data storage devices, internet plans, and more, making it important to understand both base systems due to their different use cases in technology.