Gigabytes per second to Kibibytes per second conversion

How to convert gigabytes per second to kibibytes per second?

Sure, let's go through the conversion from Gigabytes per second (GB/s) to Kibibytes per second (KiB/s). Gigabytes can be measured in two different ways: base 10 and base 2.

Base 10 (Decimal) Conversion

1 Gigabyte (GB) in base 10 is defined as $1 \times 10^9$ bytes (1 GB = 1,000,000,000 bytes). 1 Kibibyte (KiB) is defined as $2^{10}$ bytes (1 KiB = 1,024 bytes).

Conversion steps:

1. Start with 1 Gigabyte per second: $1 \text{ GB/s} = 1 \times 10^9 \text{ bytes/s}$
2. Convert bytes to Kibibytes: $\text{bytes per second} \div 1,024 \text{ (bytes per Kibibyte)}$

So, $1,000,000,000 \text{ bytes/s} \div 1,024 \text{ bytes/KiB} = 976,562.5 \text{ KiB/s}$

Base 2 (Binary) Conversion

1 Gibibyte (GiB) in base 2 is defined as $2^{30}$ bytes (1 GiB = 1,073,741,824 bytes).

Conversion steps:

1. Start with 1 Gibibytes per second: $1 \text{ GiB/s} = 1 \times 2^{30} \text{ bytes/s} = 1,073,741,824 \text{ bytes/s}$
2. Convert bytes to Kibibytes: $\text{bytes per second} \div 1,024 \text{ (bytes per Kibibyte)}$

So, $1,073,741,824 \text{ bytes/s} \div 1,024 \text{ bytes/KiB} = 1,048,576 \text{ KiB/s}$

Summary

• Base 10: 1 GB/s = 976,562.5 KiB/s
• Base 2: 1 GiB/s = 1,048,576 KiB/s

Real World Examples

• 10 Gigabytes per second (Base 10): $10 \times 976,562.5 \text{ KiB/s} = 9,765,625 \text{ KiB/s}$

• 5 Gigabytes per second (Base 10): $5 \times 976,562.5 \text{ KiB/s} = 4,882,812.5 \text{ KiB/s}$

• 2 Gigabytes per second (Base 10): $2 \times 976,562.5 \text{ KiB/s} = 1,953,125 \text{ KiB/s}$

• 10 Gibibytes per second (Base 2): $10 \times 1,048,576 \text{ KiB/s} = 10,485,760 \text{ KiB/s}$

• 5 Gibibytes per second (Base 2): $5 \times 1,048,576 \text{ KiB/s} = 5,242,880 \text{ KiB/s}$

• 2 Gibibytes per second (Base 2): $2 \times 1,048,576 \text{ KiB/s} = 2,097,152 \text{ KiB/s}$

These conversions can be useful in a variety of contexts such as network data transfer rates, disk storage speeds, and other areas where data throughput is a critical parameter.