bits per second to Tebibits per hour conversion

How to convert bits per second to tebibits per hour?

To convert bits per second (bps) to Tebibits per hour (Tib/hr), you need to use the appropriate conversion factors. The conversion process differs depending on whether you're using base 10 (decimal) or base 2 (binary) units.

Base 10 (Decimal)

In base 10, the units are:

• 1 Tebibit (Tib) = 10^12 bits (b)
• 1 hour = 3600 seconds

Conversion steps:

1. Convert bits per second to bits per hour: $1 \, \text{bps} \times 3600 \, \text{seconds/hour} = 3600 \, \text{bits/hour}$

2. Convert bits per hour to Tebibits per hour using base 10: $3600 \, \text{bits/hour} \div 10^{12} \, \text{bits/Tib} = 3.6 \times 10^{-9} \, \text{Tib/hour}$

Base 2 (Binary)

In base 2, the units are:

• 1 Tebibit (Tib) = 2^40 bits (b)
• 1 hour = 3600 seconds

Conversion steps:

1. Convert bits per second to bits per hour: $1 \, \text{bps} \times 3600 \, \text{seconds/hour} = 3600 \, \text{bits/hour}$

2. Convert bits per hour to Tebibits per hour using base 2: $3600 \, \text{bits/hour} \div 2^{40} \, \text{bits/Tib} \approx 3.28 \times 10^{-9} \, \text{Tib/hour}$

Real-World Examples for Other Quantities

1. 10 Megabits per second (Mbps):

   • Base 10: $10 \times 10^6$ bits per second
   • Bits per hour: $10 \times 10^6 \times 3600 = 36 \times 10^9$ bits per hour
   • Tebibits per hour (base 10): $36 \times 10^9 \div 10^{12} = 0.036 \, \text{Tib/hour}$
   • Tebibits per hour (base 2): $36 \times 10^9 \div 2^{40} \approx 0.0335 \, \text{Tib/hour}$

2. 1 Gigabit per second (Gbps):

   • Base 10: $1 \times 10^9$ bits per second
   • Bits per hour: $1 \times 10^9 \times 3600 = 3.6 \times 10^{12}$ bits per hour
   • Tebibits per hour (base 10): $3.6 \times 10^{12} \div 10^{12} = 3.6 \, \text{Tib/hour}$
   • Tebibits per hour (base 2): $3.6 \times 10^{12} \div 2^{40} \approx 3.28 \, \text{Tib/hour}$

3. 100 Kilobits per second (kbps):

   • Base 10: $100 \times 10^3$ bits per second
   • Bits per hour: $100 \times 10^3 \times 3600 = 360 \times 10^6$ bits per hour
   • Tebibits per hour (base 10): $360 \times 10^6 \div 10^{12} = 0.00036 \, \text{Tib/hour}$
   • Tebibits per hour (base 2): $360 \times 10^6 \div 2^{40} \approx 0.000335 \, \text{Tib/hour}$

These examples give you an idea of how different data rates in bits per second can be converted to Tebibits per hour, using both base 10 and base 2 units.