Gibibits per hour to Gigabytes per hour conversion

How to convert gibibits per hour to gigabytes per hour?

Certainly! Let's break down the conversion from Gibibits per hour (Gib/hour) to Gigabytes per hour (GB/hour).

Conversion Factors:

1 Gibibit (Gib) = 2³⁰ bits = 1,073,741,824 bits. 1 Gigabyte (GB) = 10⁹ bytes in base 10 (decimal) or 2³⁰ bytes in base 2 (binary).

Step-by-Step Conversion:

Base 2 (Binary):

1. Convert Gibibits to bits: Given 1 Gib/hour, we use the binary conversion: $1 \text{ Gib} = 1,073,741,824 \text{ bits}$

2. Convert bits to bytes: There are 8 bits in a byte: $1,073,741,824 \text{ bits} / 8 = 134,217,728 \text{ bytes}$

3. Convert bytes to Gigabytes (binary): In binary, 1 GiB = 2³⁰ bytes: $134,217,728 \text{ bytes} / 1,073,741,824 \text{ bytes/GiB} = 0.125 \text{ GiB}$

So, in base 2: $1 \text{ Gib/hour} = 0.125 \text{ GiB/hour}$

Base 10 (Decimal):

1. Convert Gibibits to bits: The first step remains the same: $1 \text{ Gib} = 1,073,741,824 \text{ bits}$

2. Convert bits to bytes: $1,073,741,824 \text{ bits} / 8 = 134,217,728 \text{ bytes}$

3. Convert bytes to Gigabytes (decimal): In decimal, 1 GB = 10⁹ bytes: $134,217,728 \text{ bytes} / 1,000,000,000 \text{ bytes/GB} = 0.134217728 \text{ GB}$

So, in base 10: $1 \text{ Gib/hour} = 0.134217728 \text{ GB/hour}$

Summary:

• Base 2 (Binary Conversion): 1 Gib/hour = 0.125 GiB/hour
• Base 10 (Decimal Conversion): 1 Gib/hour = 0.134217728 GB/hour

Real World Examples:

1. 10 Gibibits per hour:

   • Base 2: 10 Gib/hour = 1.25 GiB/hour
   • Base 10: 10 Gib/hour = 1.34217728 GB/hour

2. 50 Gibibits per hour:

   • Base 2: 50 Gib/hour = 6.25 GiB/hour
   • Base 10: 50 Gib/hour = 6.7108864 GB/hour

3. 100 Gibibits per hour:

   • Base 2: 100 Gib/hour = 12.5 GiB/hour
   • Base 10: 100 Gib/hour = 13.4217728 GB/hour

These examples show how the conversion differs slightly depending on whether you're using binary (base 2) or decimal (base 10) conventions for bytes and bits.