Tebibits per day to Gigabytes per second conversion

How to convert tebibits per day to gigabytes per second?

To convert Tebibits per day to Gigabytes per second, you need to understand the relationships between these units. We need to convert Tebibits (Tibit) to Gigabytes (GB), and days to seconds.

1 Tebibit is equal to $2^{40}$ bits. 1 day is equal to 86400 seconds.

Conversion with Base 2 (Binary)

1. Calculate the number of bits in 1 Tebibit: $1 \text{ Tibit} = 2^{40} \text{ bits}$

2. Convert bits to bytes (1 byte = 8 bits): $2^{40} \text{ bits} / 8 = 2^{37} \text{ bytes}$

3. Convert Tebibits per day to bytes per second: $\frac{2^{37} \text{ bytes}}{86400 \text{ seconds}} \approx 1.523 \times 10^7 \text{ bytes/second}$

4. Convert bytes to Gigabytes (1 GiB = $2^{30}$ bytes): $\frac{1.523 \times 10^7}{2^{30}} \approx 0.0142 \text{ GiB/second}$

Conversion with Base 10 (Decimal)

1. Calculate the number of bits in 1 Tebibit: $1 \text{ Tibit} = 2^{40} \text{ bits}$

2. Convert bits to bytes (1 byte = 8 bits): $2^{40} \text{ bits} / 8 = 2^{37} \text{ bytes}$

3. Convert Tebibits per day to bytes per second: $\frac{2^{37} \text{ bytes}}{86400 \text{ seconds}} \approx 1.523 \times 10^7 \text{ bytes/second}$

4. Convert bytes to Gigabytes (1 GB = $10^9$ bytes): $\frac{1.523 \times 10^7}{10^9} = 0.0152 \text{ GB/second}$

Summary:

• Base 2 (binary):

  • 1 Tebibit per day ≈ 0.0142 GiB/second.

• Base 10 (decimal):

  • 1 Tebibit per day ≈ 0.0152 GB/second.

Real-World Examples:

1. 10 Tibit/day:

   • Base 2: $10 \times 0.0142 \approx 0.142$ GiB/second.
   • Base 10: $10 \times 0.0152 \approx 0.152$ GB/second.

2. 50 Tibit/day:

   • Base 2: $50 \times 0.0142 \approx 0.71$ GiB/second.
   • Base 10: $50 \times 0.0152 \approx 0.76$ GB/second.

3. 100 Tibit/day:

   • Base 2: $100 \times 0.0142 \approx 1.42$ GiB/second.
   • Base 10: $100 \times 0.0152 \approx 1.52$ GB/second.

These examples can help you understand how the conversion scales with different quantities of Tebibits per day.