Gigabits per day to Gigabytes per day conversion

How to convert gigabits per day to gigabytes per day?

To convert Gigabits per day to Gigabytes per day, you need to understand the relationship between bits and bytes. Remember the following conversions:

1 byte = 8 bits

Therefore, 1 Gigabit (Gb) = 1,000,000,000 bits (using base 10) or 1,073,741,824 bits (using base 2).

A Gigabyte (GB) is:

• 1,000,000,000 bytes using base 10
• 1,073,741,824 bytes using base 2

Here's how you perform the conversion:

Base 10:

1. Start with 1 Gigabit per day (Gb/day).
2. Since 1 byte = 8 bits, 1 byte = $\frac{1}{8}$ Gigabits.
3. Therefore, 1 Gigabyte (GB) = $\frac{1,000,000,000}{8}$ bits = 125,000,000 bytes.
4. So, to convert 1 Gb/day to GB/day using base 10:

$1 \ \text{Gb/day} = \frac{1 \ \text{Gb}}{8 \ \text{bits per byte}} \times \frac{1 \ \text{byte}}{1,000,000,000 \ \text{bytes/GB}} = \frac{1}{8} \ \text{GB/day}$

So, 1 Gb/day = 0.125 GB/day (base 10).

Base 2:

1. Start with 1 Gigabit per day.
2. Using base 2, 1 Gigabyte = 1,073,741,824 bytes.
3. For base 2, convert bits to bytes by dividing by 8:

$1 \ Gb/day = \frac{1,073,741,824 \ bits}{8 \ bits/byte} = 134,217,728 \ bytes = 1 \ Gigabit$ 4. Then, 1 Gb/day = $\frac{1}{8}$ GB/day (base 2).

However, it simplifies to:

$1 \ \text{Gb/day} = \frac{1,073,741,824}{8 \times 1,073,741,824} \ \text{GB/day} = 0.125 \ GB/day \ (base \ 2)$

Notice that the conversion factor remains the same, as $1,073,741,824 \times 8 = 8,589,934,592$, hence the result remains 0.125 GB/day in both bases.

Real-World Examples:

1. 10 Gb/day:

   • Using base 10: $10 \ \text{Gb/day} = 10 \times 0.125 \ \text{GB/day} = 1.25 \ \text{GB/day}$
   • Using base 2: $10 \ \text{Gb/day} = 10 \times 0.125 \ \text{GB/day} = 1.25 \ \text{GB/day}$

2. 100 Gb/day:

   • Using base 10: $100 \ \text{Gb/day} = 100 \times 0.125 \ \text{GB/day} = 12.5 \ \text{GB/day}$
   • Using base 2: $100 \ \text{Gb/day} = 100 \times 0.125 \ \text{GB/day} = 12.5 \ \text{GB/day}$

3. 250 Gb/day:

   • Using base 10: $250 \ \text{Gb/day} = 250 \times 0.125 \ \text{GB/day} = 31.25 \ \text{GB/day}$
   • Using base 2: $250 \ \text{Gb/day} = 250 \times 0.125 \ \text{GB/day} = 31.25 \ \text{GB/day}$

4. 500 Gb/day:

   • Using base 10: $500 \ \text{Gb/day} = 500 \times 0.125 \ \text{GB/day} = 62.5 \ \text{GB/day}$
   • Using base 2: $500 \ \text{Gb/day} = 500 \times 0.125 \ \text{GB/day} = 62.5 \ \text{GB/day}$

The conversions remain consistent across the different bases due to the consistent factor of 0.125 in both cases. This means daily data usage in Gigabits can be easily translated into Gigabytes for better understanding and real-world usage scenarios.