Gigabits per hour to Gibibits per day conversion

How to convert gigabits per hour to gibibits per day?

To convert 1 Gigabit per hour (Gb/h) to Gibibits per day (Gib/day), you first need to understand the difference between Gigabits (Gb) and Gibibits (Gib). Gigabits (Gb) is a unit based on base 10 (decimal), while Gibibits (Gib) is based on base 2 (binary).

1. Base 10 (Decimal):

   • 1 Gigabit (Gb) is $10^9$ bits.
   • There are 24 hours in a day, so to convert Gigabits per hour to Gigabits per day: $1 \text{ Gb/h} \times 24 \text{ hours/day} = 24 \text{ Gb/day}$

2. Base 2 (Binary):

   • 1 Gibibit (Gib) is $2^{30}$ bits (1 Gibibit = 1,073,741,824 bits).
   • 1 Gigabit (Gb) is $10^9$ bits.
   • To convert Gigabits to Gibibits, use the conversion: $\frac{1 \text{ Gb}}{2^{30}} = \frac{10^9 \text{ bits}}{1,073,741,824 \text{ bits}} \approx 0.931 \text{ Gib}$
   • Multiplying to convert 1 Gigabit per hour to Gibibits per day: $24 \text{ Gb/day} \times 0.931 \approx 22.344 \text{ Gib/day}$

Summary:

• In decimal (base 10): 1 Gb/h = 24 Gb/day.
• In binary (base 2): 1 Gb/h ≈ 22.344 Gib/day.

Real-world Examples

1. 2 Gigabits per hour:

   • Decimal: $2 \text{ Gb/h} \times 24 \text{ hours/day} = 48 \text{ Gb/day}$
   • Binary: $48 \text{ Gb/day} \times 0.931 \approx 44.688 \text{ Gib/day}$

2. 5 Gigabits per hour:

   • Decimal: $5 \text{ Gb/h} \times 24 \text{ hours/day} = 120 \text{ Gb/day}$
   • Binary: $120 \text{ Gb/day} \times 0.931 \approx 111.72 \text{ Gib/day}$

3. 10 Gigabits per hour:

   • Decimal: $10 \text{ Gb/h} \times 24 \text{ hours/day} = 240 \text{ Gb/day}$
   • Binary: $240 \text{ Gb/day} \times 0.931 \approx 223.44 \text{ Gib/day}$

These conversions can be useful in various contexts such as network data transfer, data storage calculations, or bandwidth planning for data centers, enterprises, or internet service providers.