Terabytes per hour to Kibibits per second conversion

How to convert terabytes per hour to kibibits per second?

To convert 1 Terabyte per hour to Kibibits per second, you need to understand the base units and how to convert between them.

Base 10 (Decimal)

1 Terabyte (TB) = 10^12 bytes (B) 1 byte = 8 bits (b) 1 Kilobit (Kb) = 10^3 bits (b) 1 hour = 3600 seconds (s)

Steps:

1. Convert Terabytes to bits: $1 \text{ TB} = 10^{12} \text{ B} \times 8 = 8 \times 10^{12} \text{ bits (b)}$

2. Convert bits to Kilobits: $8 \times 10^{12} \text{ b} / 10^3 = 8 \times 10^9 \text{ Kilobits (Kb)}$

3. Convert per hour to per second: $8 \times 10^9 \text{ Kb} / 3600 \text{ s} ≈ 2.22 \times 10^6 \text{ Kbps}$

4. Convert Kilobits to Kibibits: Because base-10 Kilobits are already used here, conversion to Kibibits isn't needed in this base. Therefore: $1 \text{ TB/h} ≈ 2.22 \times 10^6 \text{ Kibibits per second}$

Base 2 (Binary)

1 Terabyte (TB) = $2^{40}$ bytes (B) 1 byte = 8 bits (b) 1 Kibibit (Kib) = $2^{10}$ bits (b) 1 hour = 3600 seconds (s)

Steps:

1. Convert Terabytes to bits: $1 \text{ TB} = 2^{40} \text{ B} \times 8 = 8 \times 2^{40} \text{ bits}$

2. Convert bits to Kibibits: $8 \times 2^{40} \text{ b} / 2^{10} = 8 \times 2^{30} \text{ Kibibits}$

3. Convert per hour to per second: $8 \times 2^{30} \text{ Kib} / 3600 \text{ s} ≈ 2.22 \times 2^{20} \text{ Kibibits per second}$

   Given $2^{20} \approx 1.048,576$: $8,388,608 \text{ Kib/s}$

Summary

• Base 10 Conversion: 1 TB/h ≈ $2.22 \times 10^6$ Kibps (≈ 2,222,222 Kbps)

• Base 2 Conversion: 1 TB/h ≈ 8,388,608 Kibps

Real World Examples:

• 50 Terabytes per hour:

  • Base 10: $50 \times 2.22 \times 10^6 \text{ Kibps} ≈ 111 \times 10^6$ Kibps (111,000,000 Kibps)
  • Base 2: $50 \times 8,388,608 \text{ Kibps} = 419,430,400 Kibps$

• 0.1 Terabytes per hour:

  • Base 10: $0.1 \times 2.22 \times 10^6 \text{ Kibps} ≈ 0.222 \times 10^6$ Kibps (222,222 Kibps)
  • Base 2: $0.1 \times 8,388,608 \text{ Kibps} = 838,860.8 Kibps$