bits per day to Gigabits per day conversion

How to convert bits per day to gigabits per day?

To convert bits per day to Gigabits per day, you need to know the relationship between bits and Gigabits.

Conversion Factors:

• Base 10 (Decimal):

  • 1 Gigabit (Gb) = 10^9 bits = 1,000,000,000 bits

• Base 2 (Binary):

  • 1 Gibibit (Gib) = 2^30 bits = 1,073,741,824 bits

Conversion Process:

Base 10 (Decimal):

1. Given: 1 bit per day
2. Conversion: $\frac{1 \text{ bit}}{1,000,000,000 \text{ bits per Gigabit}} = 1 \times 10^{-9} \text{ Gigabits per day}$

Base 2 (Binary):

1. Given: 1 bit per day
2. Conversion: $\frac{1 \text{ bit}}{1,073,741,824 \text{ bits per Gibibit}} = 9.31322574615479 \times 10^{-10} \text{ Gibibits per day} \approx 0.000000000931 \text{ Gibibits per day}$

Real World Examples for Other Quantities:

Example 1: 100 Mbps Internet Speed

• 100 Mbps = 100 million bits per second
• Per day: $100 \times 10^6 \text{ bits/second} \times 86400 \text{ seconds/day}$
• Total bits per day: $8.64 \times 10^{12} \text{ bits per day}$
• Base 10: $\frac{8.64 \times 10^{12}}{10^9} = 8,640 \text{ Gigabits per day}$
• Base 2: $\frac{8.64 \times 10^{12}}{2^{30}} = 8,037.5 \text{ Gibibits per day}$

Example 2: A 1 TB Data Transfer

• 1 Terabyte = 8 Terabits (since 1 Byte = 8 bits)
• 1 Terabyte (TB) = 8 Terabits = $8 \times 10^{12} \text{ bits (base 10)}$
• 1 Terabyte = $8 \times 2^{40} \text{ bits (base 2)} = 8,796,093,022,208 \text{ bits}$
• Per day transfer:
  • Base 10: $\frac{8 \times 10^{12}}{10^9} = 8,000 \text{ Gigabits per day}$
  • Base 2: $\frac{8,796,093,022,208}{2^{30}} = 8,192 \text{ Gibibits per day}$

Summary:

• 1 bit per day = 1 × 10^-9 Gigabits per day (base 10)
• 1 bit per day ≈ 0.000000000931 Gibibits per day (base 2)

These conversions provide a way to understand data transfer rates in different magnitudes and bases, which is useful in fields like networking and computing.