Gibibits per second to Gigabytes per second conversion

How to convert gibibits per second to gigabytes per second?

To convert Gibibits per second (Gib/s or Gibps) to Gigabytes per second (GB/s), you need to understand the difference between binary (base 2) and decimal (base 10) units.

Base 2 (Binary)

1 Gibibit (Gib or Gi) is equal to $2^{30}$ bits. 1 Gibibit per second (Gib/s or Gibps) is also equal to $2^{30}$ bits per second.

1 Byte = 8 bits. 1 Gigabyte (GB) in base 2 = $2^{30}$ Bytes.

To convert Gibibits per second to Gigabytes per second in binary, you can use the following steps:

1. Convert Gibibits per second to bits per second: $1 \, \text{Gib/s} = 2^{30} \, \text{bits per second} = 1,073,741,824 \, \text{bits per second}$

2. Convert bits per second to Bytes per second: $1,073,741,824 \, \text{bits per second} ÷ 8 = 134,217,728 \, \text{Bytes per second}$

3. Convert Bytes per second to Gigabytes per second (binary): $134,217,728 \, \text{Bytes per second} ÷ 2^{30} = 0.125 \, \text{GB/s}$

So, in binary (base 2): $1 \, \text{Gib/s} = 0.125 \, \text{GiB/s}$

Base 10 (Decimal)

1 Gigabyte (GB) in base 10 = $10^9$ Bytes.

To convert Gibibits per second to Gigabytes per second in decimal:

1. Convert Gibibits per second to bits per second (same as above): $1 \, \text{Gib/s} = 1,073,741,824 \, \text{bits per second}$

2. Convert bits per second to Bytes per second (same as above): $1,073,741,824 \, \text{bits per second} ÷ 8 = 134,217,728 \, \text{Bytes per second}$

3. Convert Bytes per second to Gigabytes per second (decimal): $134,217,728 \, \text{Bytes per second} ÷ 10^9 = 0.134217728 \, \text{GB/s}$

So, in decimal (base 10): $1 \, \text{Gib/s} = 0.134217728 \, \text{GB/s}$

Real-World Examples for Other Quantities of Gibibits per Second

1. 10 Gibibits per second (Gib/s):

   • Binary (Base 2): $10 \, \text{Gib/s} = 1.25 \, \text{GiB/s}$
   • Decimal (Base 10): $10 \, \text{Gib/s} = 1.34217728 \, \text{GB/s}$

2. 50 Gibibits per second (Gib/s):

   • Binary (Base 2): $50 \, \text{Gib/s} = 6.25 \, \text{GiB/s}$
   • Decimal (Base 10): $50 \, \text{Gib/s} = 6.7108864 \, \text{GB/s}$

3. 100 Gibibits per second (Gib/s):

   • Binary (Base 2): $100 \, \text{Gib/s} = 12.5 \, \text{GiB/s}$
   • Decimal (Base 10): $100 \, \text{Gib/s} = 13.4217728 \, \text{GB/s}$

These examples illustrate how Gibibits per second can be converted to Gigabytes per second in both binary and decimal bases. The values are particularly useful in the context of network speeds, data centers, and high-speed data transfer applications.