Gibibits per day to Bytes per hour conversion

How to convert gibibits per day to bytes per hour?

To convert 1 Gibibit per day (Gib/day) to Bytes per hour (B/h), we'll need to follow a few steps and consider both base 2 (binary) and base 10 (decimal) systems.

Base 2 (Binary System)

1 Gibibit (Gib) is equal to $2^{30}$ bits. 1 byte (B) is equal to 8 bits.

First, let's convert Gibibits to bits: $1 \text{ Gib} = 2^{30} \text{ bits} = 1,073,741,824 \text{ bits}$

Next, convert bits to bytes: $1,073,741,824 \text{ bits} \div 8 = 134,217,728 \text{ bytes}$

Since we are dealing with 1 day, we need to convert days to hours: $1 \text{ day} = 24 \text{ hours}$

So, let's calculate the Bytes per hour: $134,217,728 \text{ bytes} \div 24 \text{ hours} = 5,592,405.333 \text{ Bytes/hour}$

Base 10 (Decimal System)

In the base 10 system, the conversion is slightly different. Here is how you would do it:

1 Gibibit (Gib) is often considered as $10^9$ bits in base 10. 1 byte (B) is equal to 8 bits.

First, convert Gibibits to bits: $1 \text{ Gib (in base 10)} = 10^9 \text{ bits} = 1,000,000,000 \text{ bits}$

Next, convert bits to bytes: $1,000,000,000 \text{ bits} \div 8 = 125,000,000 \text{ bytes}$

Again, since we are dealing with 1 day, we need to convert days to hours: $1 \text{ day} = 24 \text{ hours}$

So, let's calculate the Bytes per hour: $125,000,000 \text{ bytes} \div 24 \text{ hours} = 5,208,333.333 \text{ Bytes/hour}$

Summary

• Base 2 conversion: $1 \text{ Gibibits/day} = 5,592,405.333 \text{ Bytes/hour}$
• Base 10 conversion: $1 \text{ Gibibits/day} = 5,208,333.333 \text{ Bytes/hour}$

Real World Examples for Other Quantities of Gibibits per Day

1. Streaming Video Data:

   • 4K Video Streaming:
     • Let's assume a high-definition video stream uses around 25 Mbps (megabits per second).
     • Converting to Gibibits/day: $25 \text{ Mbps} \times 60 \text{ seconds} \times 60 \text{ minutes} \times 24 \text{ hours} \times \frac{1\;\text{Gib}}{2^{30} \text{ (base 2)}} \approx 2.688 \text{ Gib/day}$.
   • Bytes per hour for this: $2.688 \text{ Gib/day} \times 8 \times 2^{20} \div 24 \approx 15,022,934.667 \text{ Bytes/hour}$.

2. Large Scale Data Transfer:

   • Transferring 500 Gibibits of Backup Data:
     • This task might be scheduled over 2 days.
     • Daily rate: $500 \text{ Gib} \div 2 \approx 250 \text{ Gib/day}$.
   • Bytes per hour for this:
     • In base 2: $250 \text{ Gib/day} \times 8 \times 2^{20} \div 24 \approx 1,398,101,333.333 \text{ Bytes/hour}$.

These conversions and examples help translate data transfer rates into more practical terms in bytes per hour, depending on the system in use (base 2 or base 10).