Gigabits per day to Bytes per second conversion

How to convert gigabits per day to bytes per second?

To convert data transfer rates from gigabits per day to bytes per second, you'll need to take a few steps. This involves converting from gigabits to bits, from bits to bytes, and from days to seconds.

Step-by-Step Conversion

1. Convert Gigabits to Bits (Base 10):

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

   For 1 Gigabit per day: $1 \text{ Gb/day} = 1 \times 10^9 \text{ bits/day}$

2. Convert Bits to Bytes:

   • 1 Byte = 8 bits

   $1 \text{ Gb/day} = \frac{1 \times 10^9 \text{ bits}}{8} \text{ bytes/day}$ $1 \text{ Gb/day} = 125,000,000 \text{ bytes/day}$

3. Convert Days to Seconds:

   • 1 day = 24 hours = 24 × 60 minutes = 24 × 60 × 60 seconds = 86,400 seconds

   $1 \text{ Gb/day} = \frac{125,000,000 \text{ bytes}}{86,400 \text{ seconds}}$ $1 \text{ Gb/day} \approx 1,447.04 \text{ bytes/second}$

Conversion for Base 2

For base 2, recognize that:

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

1. Convert Gibibits to Bits: $1 \text{ Gib/day} = 1,073,741,824 \text{ bits/day}$

2. Convert Bits to Bytes: $1 \text{ Gib/day} = \frac{1,073,741,824 \text{ bits}}{8} \text{ bytes/day}$ $1 \text{ Gib/day} = 134,217,728 \text{ bytes/day}$

3. Convert Days to Seconds:

   • Using the same value for the day (86,400 seconds)

   $1 \text{ Gib/day} = \frac{134,217,728 \text{ bytes}}{86,400 \text{ seconds}}$ $1 \text{ Gib/day} \approx 1,552.52 \text{ bytes/second}$

Real-world Examples for Other Quantities

Suppose we're considering the following data rates:

• 5 Gigabits per day

  Base 10: $5 \times 1,000,000,000 \text{ bits/day} = 5,000,000,000 \text{ bits/day}$ $5,000,000,000 \text{ bits/day} = 625,000,000 \text{ bytes/day}$ $625,000,000 \text{ bytes/day} \div 86,400 \approx 7,235.29 \text{ bytes/second}$

  Base 2: $5 \times 1,073,741,824 \text{ bits/day} = 5,368,709,120 \text{ bits/day}$ $5,368,709,120 \text{ bits/day} = 671,088,640 \text{ bytes/day}$ $671,088,640 \text{ bytes/day} \div 86,400 \approx 7,762.62 \text{ bytes/second}$

• 10 Gigabits per day

  Base 10: $10 \times 1,000,000,000 \text{ bits/day} = 10,000,000,000 \text{ bits/day}$ $10,000,000,000 \text{ bits/day} = 1,250,000,000 \text{ bytes/day}$ $1,250,000,000 \text{ bytes/day} \div 86,400 \approx 14,470.6 \text{ bytes/second}$

  Base 2: $10 \times 1,073,741,824 \text{ bits/day} = 10,737,418,240 \text{ bits/day}$ $10,737,418,240 \text{ bits/day} = 1,342,177,280 \text{ bytes/day}$ $1,342,177,280 \text{ bytes/day} \div 86,400 \approx 15,525.24 \text{ bytes/second}$

These conversions are useful for understanding various data rates in different contexts like internet speed, data center capabilities, and more.