Gibibits per day to Gigabytes per day conversion

How to convert gibibits per day to gigabytes per day?

To convert Gibibits per day to Gigabytes per day, you need to perform a few calculations. The main thing to keep in mind is the difference between the binary and decimal systems when dealing with digital storage and transfer rates.

Understanding the Units

1 Gibibit (Gib) = $2^{30}$ bits = 1,073,741,824 bits

1 Gigabyte (GB) = $10^9$ bytes (in decimal system) 1 Gigabyte (GB) = $2^{30}$ bytes (in binary system)

1 byte = 8 bits

Steps to Convert (Base 2)

Let's convert 1 Gibibit per day to Gigabytes per day using the base 2 system (binary):

1. Start with 1 Gibibit (1 Gib) per day.
2. Convert Gibibits to bits: $1 \text{ Gib} = 2^{30} \text{ bits} = 1,073,741,824 \text{ bits}$
3. Convert bits to bytes: $1,073,741,824 \text{ bits} \div 8 = 134,217,728 \text{ bytes}$
4. Convert bytes to Gigabytes (binary): $134,217,728 \text{ bytes} \div 2^{30} = 0.125 \text{ GB}$

So, 1 Gibibit per day is 0.125 Gigabytes per day (when you use the base 2 system for both Gibibits and Gigabytes).

Steps to Convert (Base 10)

Now let’s convert 1 Gibibit per day to Gigabytes per day using the base 10 system (decimal):

1. Again, start with 1 Gibibit per day.
2. Convert Gibibits to bits: $1 \text{ Gib} = 2^{30} \text{ bits} = 1,073,741,824 \text{ bits}$
3. Convert bits to bytes: $1,073,741,824 \text{ bits} \div 8 = 134,217,728 \text{ bytes}$
4. Convert bytes to Gigabytes (decimal): $134,217,728 \text{ bytes} \div 10^9 = 0.134217728 \text{ GB}$

So, 1 Gibibit per day is approximately 0.134 Gigabytes per day (when you use base 10 for bytes and Gigabytes).

Real-World Examples for Other Quantities

10 Gibibits per day:

• Base 2: $10 \text{ Gibibits} = 10 \times 0.125 \text{ GB} = 1.25 \text{ Gigabytes}$
• Base 10: $10 \text{ Gibibits} = 10 \times 0.134217728 \text{ GB} = 1.34217728 \text{ Gigabytes}$

100 Gibibits per day:

• Base 2: $100 \text{ Gibibits} = 100 \times 0.125 \text{ GB} = 12.5 \text{ Gigabytes}$
• Base 10: $100 \text{ Gibibits} = 100 \times 0.134217728 \text{ GB} = 13.4217728 \text{ Gigabytes}$

1,000 Gibibits per day:

• Base 2: $1,000 \text{ Gibibits} = 1,000 \times 0.125 \text{ GB} = 125 \text{ Gigabytes}$
• Base 10: $1,000 \text{ Gibibits} = 1,000 \times 0.134217728 \text{ GB} = 134.217728 \text{ Gigabytes}$

Summary

• 1 Gibibit per day ≈ 0.125 Gigabytes per day (base 2)
• 1 Gibibit per day ≈ 0.134 Gigabytes per day (base 10)

The difference arises from the distinct ways in which the binary (base 2) and decimal (base 10) systems define data quantities.