Gigabits per hour to Megabytes per second conversion

How to convert gigabits per hour to megabytes per second?

To convert Gigabits per hour (Gb/h) to Megabytes per second (MB/s), you need to understand the conversion factors between these units of data rate measurement.

Base 10 (Decimal) Calculations

• 1 Gigabit (Gb) = 1,000 Megabits (Mb)
• 1 Megabit (Mb) = 125 Kilobytes (KB)
• 1 Kilobyte (KB) = 1,000 Bytes (B)
• 1 Byte (B) = 8 Bits

Hence, 1 Megabit (Mb) = 125,000 Bytes (B) / 8 bits per byte = 125 Kilobytes (KB)

Base 2 (Binary) Calculations

• 1 Gibibit (Gib) = 1,024 Mebibits (Mib)
• 1 Mebibit (Mib) = 128 Kibibytes (KiB)
• 1 Kibibyte (KiB) = 1,024 Bytes (B)
• 1 Byte (B) = 8 Bits

Hence, 1 Mebibit (Mib) = 2^20 bits = 1,048,576 bits / 8 = 131,072 Bytes (B) / 1,024 = 128 Kibibytes (KiB)

Conversion Process

To convert 1 Gigabit per hour to Megabytes per second:

1. Convert Hours to Seconds: $1 \text{ Hour} = 3600 \text{ Seconds}$

2. Convert Gigabits to Bits and then to Megabits:

   Base 10 (Decimal): $1 \text{ Gb} = 1,000 \text{ Mb}$

   Base 2 (Binary): $1 \text{ Gib} = 1,024 \text{ Mib}$

3. Convert Megabits to Megabytes:

   Base 10 (Decimal): $1 \text{ Mb} = 125 \text{ KB} / 1,000 = 0.125 \text{ MB}$

   Base 2 (Binary): $1 \text{ Mib} = 128 \text{ KiB} / 1,024 = 0.125 \text{ MiB}$

4. Calculate the Rate per Second:

   Base 10: $\frac{1 \text{ Gb/h} = 1,000 \text{ Mb}}{3,600 \text{ s}} = \frac{1,000 \text{ Mb}}{3,600 \text{ s}} = 0.27778 \text{ Mb/s}$ Converting to MB/s: $0.27778 \text{ Mb/s} \times 0.125 \text{ MB/Mb} = 0.03472 \text{ MB/s}$

   Base 2: $\frac{1 \text{ Gib/h} = 1,024 \text{ Mib}}{3,600 \text{ s}} = \frac{1,024 \text{ Mib}}{3,600 \text{ s}} = 0.28444 \text{ Mib/s}$ Converting to MiB/s: $0.28444 \text{ Mib/s} \times 0.125 \text{ MiB/Mib} = 0.03555 \text{ MiB/s}$

Real-World Examples

Let's convert some other quantities of Gigabits per hour to Megabytes per second.

1. 10 Gigabits per hour (Base 10):

   • Convert to Megabits per second: $\frac{10 * 1,000 \text{ Mb}}{3,600 \text{ s}} = 2.77778 \text{ Mb/s}$
   • Convert to Megabytes per second: $2.77778 \text{ Mb/s} * 0.125 \text{ MB/Mb} = 0.34722 \text{ MB/s}$

2. 5 Gigabits per hour (Base 2):

   • Convert to Mebibits per second: $\frac{5 * 1,024 \text{ Mib}}{3,600 \text{ s}} = 1.42222 \text{ Mib/s}$
   • Convert to Mebibytes per second: $1.42222 \text{ Mib/s} * 0.125 \text{ MiB/Mib} = 0.17778 \text{ MiB/s}$

3. 50 Gigabits per hour (Base 10):

   • Convert to Megabits per second: $\frac{50,000 \text{ Mb}/3,600 \text{ s}} = 13.88889 \text{ Mb/s}$
   • Convert to Megabytes per second: $13.88889 \text{ Mb/s} * 0.125 \text{ MB/Mb} = 1.73611 \text{ MB/s}$

This demonstrates how to approach converting data transfer rates from Gigabits per hour to Megabytes per second using both decimal (base 10) and binary (base 2) units.