Gigabits per second to Bytes per day conversion

How to convert gigabits per second to bytes per day?

Converting data transfer rates from gigabits per second (Gbps) to bytes per day involves a few steps which vary slightly depending on whether you're using the base-10 (decimal) or base-2 (binary) systems.

Base-10 (Decimal) System:

1. Convert Gigabits to Bits:

   • $1 \text{ Gbps} = 1 \times 10^9 \text{ bits per second}$

2. Convert Bits to Bytes:

   • There are 8 bits in a byte.
   • $1 \text{ Gbps} = \frac{1 \times 10^9 \text{ bits}}{8} = 1.25 \times 10^8 \text{ bytes per second}$

3. Convert Bytes per Second to Bytes per Day:

   • There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day.
   • $1 \text{ day} = 60 \times 60 \times 24 = 86400 \text{ seconds}$
   • Therefore, $1 \text{ Gbps} = 1.25 \times 10^8 \text{ bytes/sec} \times 86400 \text{ seconds/day} = 1.08 \times 10^{13} \text{ bytes/day}$

Base-2 (Binary) System:

1. Convert Gigabits to Bits:

   • $1 \text{ Gbps} = 1 \times 2^{30} \text{ bits per second} = 1,073,741,824 \text{ bits per second}$

2. Convert Bits to Bytes:

   • $1 \text{ byte} = 8 \text{ bits}$
   • Therefore, $1 \text{ Gbps} = \frac{1,073,741,824 \text{ bits}}{8} = 134,217,728 \text{ bytes per second}$

3. Convert Bytes per Second to Bytes per Day:

   • $1 \text{ day} = 86400 \text{ seconds}$
   • Therefore, $1 \text{ Gbps} = 134,217,728 \text{ bytes/sec} \times 86400 \text{ seconds/day} = 11,574,840,934,400 \text{ bytes/day}$

In summary, the conversions are:

• Base-10: $1 \text{ Gbps} = 1.08 \times 10^{13} \text{ bytes/day}$
• Base-2: $1 \text{ Gbps} = 11,574,840,934,400 \text{ bytes/day}$

Real-World Examples:

1. Fast Ethernet:

   • Speed: 1 Gbps
   • Base-10: 1.08 × 10^13 bytes/day
   • Base-2: 11,574,840,934,400 bytes/day

2. Home Internet (Fiber):

   • Speed: 1 Gbps
   • Base-10: 1.08 × 10^13 bytes/day
   • Base-2: 11,574,840,934,400 bytes/day

3. If you have a 5 Gbps connection:

   • Base-10: 5.4 × 10^13 bytes/day
   • Base-2: 57,874,204,672,000 bytes/day

4. A 100 Gbps high-speed data link:

   • Base-10: 1.08 × 10^15 bytes/day
   • Base-2: 1,157,484,093,440,000 bytes/day

These examples underline the importance of understanding which base system is used, as it significantly affects data rate calculations.