Gigabits per day to Terabytes per day conversion

How to convert gigabits per day to terabytes per day?

To convert from Gigabits per day (Gb/day) to Terabytes per day (TB/day), we need to understand the conversion factors between Gigabits, Gigabytes, and Terabytes.

Base 10 (Decimal) Conversion

In base 10:

• 1 Gigabit (Gb) is equal to 1,000,000,000 bits.
• 1 Terabyte (TB) is equal to 1,000,000,000,000 bytes.
• 1 byte is 8 bits.

To find the conversion factor from Gigabits to Terabytes:

1. Convert Gigabits to bits: $1 \text{ Gb} = 1,000,000,000 \text{ bits}$

2. Convert bits to bytes: $1 \text{ Gb} = \frac{1,000,000,000 \text{ bits}}{8} = 125,000,000 \text{ bytes}$

3. Convert bytes to Terabytes: $125,000,000 \text{ bytes} = \frac{125,000,000}{1,000,000,000,000} \text{ TB} = 0.000125 \text{ TB}$

Therefore: $1 \text{ Gb/day} = 0.000125 \text{ TB/day (base 10)}$

Base 2 (Binary) Conversion

In base 2:

• 1 Gigabit (Gb) is equal to 2^30 bits (1,073,741,824 bits).
• 1 Terabyte (TB) is equal to 2^40 bytes.
• 1 byte is 8 bits.

To find the conversion factor from Gigabits to Terabytes:

1. Convert Gigabits to bits: $1 \text{ Gb} = 1,073,741,824 \text{ bits}$

2. Convert bits to bytes: $1 \text{ Gb} = \frac{1,073,741,824 \text{ bits}}{8} = 134,217,728 \text{ bytes}$

3. Convert bytes to Terabytes: $134,217,728 \text{ bytes} = \frac{134,217,728}{1,099,511,627,776} \text{ TB} = 0.000122 \text{ TB}$

Therefore: $1 \text{ Gb/day} = 0.000122 \text{ TB/day (base 2)}$

Real World Examples

1. 10 Gigabits per day (base 10):

   • Decimal (Base 10): $10 \text{ Gb/day} = 10 \times 0.000125 \text{ TB/day} = 0.00125 \text{ TB/day}$
   • Binary (Base 2): $10 \text{ Gb/day} = 10 \times 0.000122 \text{ TB/day} = 0.00122 \text{ TB/day}$

2. 50 Gigabits per day:

   • Decimal (Base 10): $50 \text{ Gb/day} = 50 \times 0.000125 \text{ TB/day} = 0.00625 \text{ TB/day}$
   • Binary (Base 2): $50 \text{ Gb/day} = 50 \times 0.000122 \text{ TB/day} = 0.0061 \text{ TB/day}$

3. 100 Gigabits per day:

   • Decimal (Base 10): $100 \text{ Gb/day} = 100 \times 0.000125 \text{ TB/day} = 0.0125 \text{ TB/day}$
   • Binary (Base 2): $100 \text{ Gb/day} = 100 \times 0.000122 \text{ TB/day} = 0.0122 \text{ TB/day}$

4. 1 Terabit per day (1000 Gigabits):

   • Decimal (Base 10): $1000 \text{ Gb/day} = 1000 \times 0.000125 \text{ TB/day} = 0.125 \text{ TB/day}$
   • Binary (Base 2): $1000 \text{ Gb/day} = 1000 \times 0.000122 \text{ TB/day} = 0.122 \text{ TB/day}$

These conversions help illustrate how different quantities of data transfer rates in Gigabits per day translate into Terabytes per day using both decimal and binary systems.