Megabytes per second to Terabits per hour conversion

How to convert megabytes per second to terabits per hour?

To convert 1 Megabyte per second (MBps) to Terabits per hour (Tb/h), we need to follow a sequence of unit conversions. Since a byte consists of 8 bits, this conversion factor needs to be applied.

Let's break down the conversion step-by-step for both base 10 (decimal) and base 2 (binary) systems:

Base 10 (Decimal) Conversion:

1. Megabytes to Megabits: 1 MBps = 1 * 8 Megabits per second (Mbps) = 8 Mbps

2. Megabits to Gigabits: 1 Mbps = 1/1,000 Gigabits per second (Gbps) Thus, 8 Mbps = 8/1,000 Gigabits per second = 0.008 Gbps

3. Gigabits to Terabits: 1 Gbps = 1/1,000 Terabits per second (Tbps) Thus, 0.008 Gbps = 0.008/1,000 Terabits per second = 0.000008 Tbps

4. Seconds to Hours: There are 3,600 seconds in an hour. Hence, 0.000008 Terabits per second = 0.000008 * 3,600 Terabits per hour = 0.0288 Tb/h

So, 1 MBps in base 10 is equivalent to 0.0288 Terabits per hour (Tb/h).

Base 2 (Binary) Conversion:

1. Megabytes to Megabits: 1 MBps = 1 * 8 Megabits per second (Mbps) = 8 Mbps

2. Megabits to Gigabits: 1 Mbps = 1/1,024 Gigabits per second (Gbps) given power of 2 scaling Thus, 8 Mbps = 8/1,024 Gigabits per second = 0.0078125 Gbps

3. Gigabits to Terabits: 1 Gbps = 1/1,024 Terabits per second (Tbps) given power of 2 scaling Thus, 0.0078125 Gbps = 0.0078125/1,024 Terabits per second = 0.00000762939453125 Tbps

4. Seconds to Hours: There are 3,600 seconds in an hour. Hence, 0.00000762939453125 Terabits per second = 0.00000762939453125 * 3,600 Terabits per hour ≈ 0.027459 Tb/h

So, 1 MBps in base 2 is equivalent to approximately 0.027459 Terabits per hour (Tb/h).

Real-world Examples for Other Quantities of MBps:

1. 10 MBps Ethernet Connection:

   • Base 10: $10 * 0.0288$ = 0.288 Tb/h
   • Base 2: $10 * 0.027459$ ≈ 0.27459 Tb/h

2. 50 MBps High-Speed Internet:

   • Base 10: $50 * 0.0288$ = 1.44 Tb/h
   • Base 2: $50 * 0.027459$ ≈ 1.37295 Tb/h

3. 100 MBps Fiber Optic Connection:

   • Base 10: $100 * 0.0288$ = 2.88 Tb/h
   • Base 2: $100 * 0.027459$ ≈ 2.7459 Tb/h

These examples illustrate the difference between base 10 and base 2 calculations. The base 2 calculations slightly reduce the resulting data transfer rate in comparison to the base 10, which is more aligned with how most digital systems are represented and measured.