Gibibytes per second to Megabits per second conversion

How to convert gibibytes per second to megabits per second?

Certainly! To convert Gibibytes per second (GiB/s) to Megabits per second (Mbps), you need to account for the differences between "Gibi" and "Mega," and understand that "bytes" need to be converted to "bits." Here's how to do it for both base-2 (binary) and base-10 (decimal) systems.

Base-2 (Binary)

1 Gibibyte (GiB) is equal to 2^30 bytes. 1 byte is equal to 8 bits.

Therefore, 1 Gibibyte per second (GiB/s) in bits per second (bps):

$1 \, \text{GiB/s} = 2^{30} \times 8 \, \text{bps} = 2^{33} \, \text{bps}$

To convert to Megabits per second (Mbps), recall that 1 Megabit (Mb) is $2^{20}$bits:

$1 \, \text{GiB/s} = \frac{2^{33} \, \text{bps}}{2^{20}} \, \text{Mbps} = 2^{13} \, \text{Mbps}$ $2^{13} = 8192$

So, 1 Gibibyte per second (GiB/s) is equal to 8192 Megabits per second (Mbps) in the base-2 system.

Base-10 (Decimal)

In the decimal system, 1 Gibibyte (GiB) is approximately equal to 1,073,741,824 bytes (since $2^{30} = 1,073,741,824$).

1 byte is equal to 8 bits.

Therefore, 1 Gibibyte per second (GiB/s) in bits per second (bps):

$1 \, \text{GiB/s} = 1,073,741,824 \times 8 \, \text{bps} = 8,589,934,592 \, \text{bps}$

To convert to Megabits per second (Mbps), recall that 1 Megabit (Mb) is $10^6$ bits:

$1 \, \text{GiB/s} = \frac{8,589,934,592 \, \text{bps}}{10^6} \, \text{Mbps} = 8589.934592 \, \text{Mbps}$

So, in the base-10 system, 1 Gibibyte per second (GiB/s) is approximately 8589.93 Megabits per second (Mbps).

Real World Examples

• Internet Speeds:

  • A fiber-optic network offering 2 GiB/s would correspond to 16,384 Mbps (binary) or approximately 17,179.87 Mbps (decimal). This speed is extremely high and is generally used in high-performance data centers.

• Data Storage and Transfer:

  • NVMe SSDs can have transfer rates in the range of 3.5 GiB/s to 5 GiB/s. For example, a transfer rate of 4 GiB/s is equal to 32,768 Mbps (binary) or approximately 34,359.73 Mbps (decimal).

• Video Streaming:

  • Professional uncompressed 4K video can have bitrates around 3 GiB/s. This would be equivalent to 24,576 Mbps (binary) or approximately 25,769.81 Mbps (decimal).

These conversions and examples highlight the massive bandwidth potential of Gibibytes per second in real-world applications, accommodating rapid data transfer and high-speed communication requirements.