Terabits per second to Gigabits per hour conversion

How to convert terabits per second to gigabits per hour?

To convert 1 Terabit per second (Tbps) to Gigabits per hour (Gbph), you need to know the relationship between the units and the time conversion factor.

Base 10 Conversion:

1. Understand the Units:

   • 1 Terabit (Tb) = 1,000 Gigabits (Gb) in base 10.
   • 1 second (s) has 3,600 seconds in one hour (h) because $1 \text{ hour} = 60 \text{ minutes} \times 60 \text{ seconds} = 3,600 \text{ seconds}$.

2. Perform the Conversion: $1 \text{ Tbps} = 1,000 \, \text{ Gbps}$ $1 \text{ second} = \frac{1}{3,600} \text{ hour}$ Therefore, 1 Tbps in Gigabits per hour: $1 \text{ Tbps} \times 3,600 \text{ s/h} = 1,000 \, \text{ Gbps} \times 3,600 \, \text{ s/h} = 3,600,000 \, \text{ Gbph}$

Base 2 Conversion:

1. Understand the Units:

   • 1 Terabit (Tb) = 1,024 Gigabits (Gb) in base 2.
   • The time conversion remains the same, $1 \text{ hour} = 3,600 \text{ seconds}$.

2. Perform the Conversion: $1 \text{ Tbps} = 1,024 \, \text{ Gbps}$ $1 \text{ second} = \frac{1}{3,600} \text{ hour}$ Therefore, 1 Tbps in Gigabits per hour: $1 \text{ Tbps} \times 3,600 \text{ s/h} = 1,024 \, \text{ Gbps} \times 3,600 \, \text{ s/h} = 3,686,400 \, \text{ Gbph}$

Real-World Examples for Other Quantities of Terabits per Second:

1. 0.5 Tbps:

   • Base 10: $0.5 \times 3,600,000 = 1,800,000 \, \text{ Gbph}$
   • Base 2: $0.5 \times 3,686,400 = 1,843,200 \, \text{ Gbph}$

2. 2 Tbps:

   • Base 10: $2 \times 3,600,000 = 7,200,000 \, \text{ Gbph}$
   • Base 2: $2 \times 3,686,400 = 7,372,800 \, \text{ Gbph}$

3. 5 Tbps:

   • Base 10: $5 \times 3,600,000 = 18,000,000 \, \text{ Gbph}$
   • Base 2: $5 \times 3,686,400 = 18,432,000 \, \text{ Gbph}$

Key Takeaways:

• In base 10, 1 Terabit = 1,000 Gigabits.
• In base 2, 1 Terabit = 1,024 Gigabits.
• There are 3,600 seconds in an hour for both conversions.
• The conversion factors will be slightly different due to the differing definitions in the two bases.