Bytes per second to Gibibytes per second conversion

How to convert bytes per second to gibibytes per second?

To convert 1 Byte per second to Gibibytes per second, we need to understand the differences between the base 10 and base 2 systems:

Base 10 System:

• 1 Kilobyte (KB) = 1,000 Bytes (B)
• 1 Megabyte (MB) = 1,000 KB = 1,000,000 Bytes
• 1 Gigabyte (GB) = 1,000 MB = 1,000,000,000 Bytes
• 1 Terabyte (TB) = 1,000 GB = 1,000,000,000,000 Bytes

Base 2 System:

• 1 Kibibyte (KiB) = 1,024 Bytes
• 1 Mebibyte (MiB) = 1,024 KiB = 1,048,576 Bytes
• 1 Gibibyte (GiB) = 1,024 MiB = 1,073,741,824 Bytes
• 1 Tebibyte (TiB) = 1,024 GiB = 1,099,511,627,776 Bytes

Now, let's convert 1 Byte per second (Bps) to Gibibytes per second (GiBps).

Using the base 10 system:

1. Convert Bytes to Gigabytes:
   • 1 Gigabyte is 1,000,000,000 Bytes.
   • Therefore, 1 Byte is 1 / 1,000,000,000 = 0.000000001 GB.
2. Convert Gigabytes to Gibibytes:
   • Since 1 Gibibyte (GiB) is 1,073,741,824 Bytes:
   • Therefore, in terms of base 10, 1 Byte = 1 / 1,073,741,824 = 9.313225746154785e-10 GiB.

Using the base 2 system:

1. Convert Bytes to Gibibytes:
   • As calculated above, 1 Gibibyte (GiB) is 1,073,741,824 Bytes.
   • Therefore, 1 Byte is 1 / 1,073,741,824 = 9.313225746154785e-10 GiB.

In both calculations, the conversion factor remains the same because we directly use the base 2 units for Bytes to Gibibytes conversion.

Real-World Examples of Data Transfer Rates

1. Internet Speed:

   • A typical home internet speed might be 100 Megabits per second (Mbps). $100 Mbps \times \left(\frac{1 Byte}{8 bits}\right) \approx 12.5 MBps$
   • This is approximately $12.5 \times 10^{-3}$ GBps in base 10 or $12.5 / 1,073,741,824 \approx 1.1641532182693481 \times 10^{-8}$ GiBps.

2. USB 3.0 Transfer Speed:

   • USB 3.0 can transfer data at up to 5 Gbps. $5 Gbps \times \left(\frac{1 Byte}{8 bits}\right) = 625 MBps$
   • This is approximately $625 \times 10^{-3}$ GBps in base 10 or $625 / 1,073,741,824 \approx 5.820766091346741e-7$ GiBps.

3. SSD Speeds:

   • A high-end SSD might have a transfer speed of 3,500 MBps. $3,500 MBps$
   • This is 3.5 GBps in base 10 or $3,500 / 1,073,741,824 \approx 0.00326$ GiBps.

These conversions and real-world examples give a clearer picture of how data transfer rates are measured and compared across different units and systems.