Gibibits per hour to Megabytes per hour conversion

How to convert gibibits per hour to megabytes per hour?

Certainly! Let's walk through the conversion of 1 Gibibit per hour (Gibit/hr) to Megabytes per hour (MB/hr), considering both base 2 (binary) and base 10 (decimal) units.

Base 2 (Binary) Conversion:

1 Gibibit (Gibit) = $2^{30}$ bits or $1,073,741,824$ bits
1 Byte = 8 bits
1 Megabyte (MB) = $2^{20}$ Bytes or $1,048,576$ Bytes

First, convert Gibits to bits: $1 \, \text{Gibit} = 1,073,741,824 \, \text{bits}$

Then, convert bits to Bytes: $1 \, \text{Gibit} = \frac{1,073,741,824 \, \text{bits}}{8} = 134,217,728 \, \text{Bytes}$

Next, convert Bytes to Megabytes (MB): $1 \, \text{Gibit} = \frac{134,217,728 \, \text{Bytes}}{1,048,576 \, \text{Bytes/MB}} = 128 \, \text{MB}$

So, in base 2: $1 \, \text{Gibit/hr} = 128 \, \text{MB/hr}$

Base 10 (Decimal) Conversion:

1 Gigabit (Gb) = $10^9$ bits or $1,000,000,000$ bits (Note: the abbreviation for Gigabit in base 10 is typically Gb, not Gibit)
1 Byte = 8 bits
1 Megabyte (MB) = $10^6$ Bytes or $1,000,000$ Bytes

First, convert Gibits to bits: $1 \, \text{Gibit} = 1,073,741,824 \, \text{bits}$

Then, convert bits to Bytes: $1 \, \text{Gibit} = \frac{1,073,741,824 \, \text{bits}}{8} = 134,217,728 \, \text{Bytes}$

Next, convert Bytes to Megabytes (MB): $1 \, \text{Gibit} = \frac{134,217,728 \, \text{Bytes}}{1,000,000 \, \text{Bytes/MB}} = 134.217728 \, \text{MB}$

So, in base 10: $1 \, \text{Gibit/hr} = 134.217728 \, \text{MB/hr}$

Summary:

• Base 2 (Binary): 1 Gibibit per hour = 128 Megabytes per hour
• Base 10 (Decimal): 1 Gibibit per hour = 134.217728 Megabytes per hour

Real World Examples:

Let's consider a few different quantities and convert them to Megabytes per hour:

1. 10 Gibibits per hour:

   • Base 2: $10 \, \text{Gibit/hr} = 10 \times 128 \, \text{MB/hr} = 1280 \, \text{MB/hr}$
   • Base 10: $10 \, \text{Gibit/hr} = 10 \times 134.217728 \, \text{MB/hr} = 1342.17728 \, \text{MB/hr}$

2. 50 Gibibits per hour:

   • Base 2: $50 \, \text{Gibit/hr} = 50 \times 128 \, \text{MB/hr} = 6400 \, \text{MB/hr}$
   • Base 10: $50 \, \text{Gibit/hr} = 50 \times 134.217728 \, \text{MB/hr} = 6710.8864 \, \text{MB/hr}$

3. 100 Gibibits per hour:

   • Base 2: $100 \, \text{Gibit/hr} = 100 \times 128 \, \text{MB/hr} = 12800 \, \text{MB/hr}$
   • Base 10: $100 \, \text{Gibit/hr} = 100 \times 134.217728 \, \text{MB/hr} = 13421.7728 \, \text{MB/hr}$

These conversions can help you understand how much data is transferred over time in different contexts, such as internet speeds, data storage, and file transfers.