Gibibits per day to Bytes per day conversion

How to convert gibibits per day to bytes per day?

Converting 1 Gibibit per day to Bytes per day involves understanding both Gibibits and Bytes in terms of their respective bases.

Base 2 Conversion (Binary)

1 Gibibit (Gib) is equal to $2^{30}$ bits because "Gibi" represents the binary prefix.

1 Gib = $2^{30}$ bits
1 bit = 1/8 Bytes

Therefore: $1 \text{ Gibibit} = 2^{30} \text{ bits} = 2^{30} \div 8 \text{ Bytes}$ $1 \text{ Gibibit} = 2^{30 - 3} \text{ Bytes}$ $1 \text{ Gibibit} = 2^{27} \text{ Bytes}$ $1 \text{ Gibibit} = 134,217,728 \text{ Bytes}$

Since we are dealing with per day: $1 \text{ Gibibit/day} = 134,217,728 \text{ Bytes/day}$

Base 10 Conversion (Decimal)

1 Gibibit in base 10 is still considered as $2^{30}$ bits since it uses the binary prefix "Gibi". But sometimes for simplicity or certain standards, we might refer to 1 Gbit (Gigabit) instead, which equals $10^9$ bits.

Using $2^{30}$ bits for base 2, as above, the conversion remains: $1 \text{ Gibibit/day} = 134,217,728 \text{ Bytes/day}$

However, if confusingly we would convert a decimal Gigabit (1 Gb) for base 10 calculations: 1 Gigabit (Gb) = $10^9$ bits

Then: $1 \text{ Gigabit} = 10^9 \text{ bits} = 10^9 \div 8 \text{ Bytes} = 125,000,000 \text{ Bytes}$

$1 \text{ Gigabit/day} = 125,000,000 \text{ Bytes/day}$

Real-world Examples for Different Quantities

1. Streaming Services:
   A high-definition movie streaming service might use around 5-10 Gibibits per day per user depending on their viewing habits.

   • 5 Gibibits/day = 5 × 134,217,728 Bytes/day = 671,088,640 Bytes/day ≈ 671 MB/day
   • 10 Gibibits/day = 10 × 134,217,728 Bytes/day = 1,342,177,280 Bytes/day ≈ 1.34 GB/day

2. Data Backups: An organization performing daily backups of critical data might need to transfer 50 Gibibits per day.

   • 50 Gibibits/day = 50 × 134,217,728 Bytes/day = 6,710,886,400 Bytes/day ≈ 6.71 GB/day

3. Internet Usage: An average household using the internet for browsing, video calling, and streaming might use around 3 Gibibits per day.

   • 3 Gibibits/day = 3 × 134,217,728 Bytes/day = 402,653,184 Bytes/day ≈ 403 MB/day

Summary

1 Gibibit per day equals 134,217,728 Bytes per day in both base 10 and base 2, using the correct definition of Gibibit (binary prefix). For different quantities, multiply the number of Gibibits by 134,217,728 to get Bytes per day.