Megabits per hour to Gibibytes per hour conversion

How to convert megabits per hour to gibibytes per hour?

To convert Megabits per hour (Mb/h) to Gibibytes per hour (GiB/h), we'll need to understand the relationships between the different units.

1 Megabit (Mb) = 1,000,000 bits (base 10) 1 Megabit (Mb) = 2^20 bits (base 2)

There are two different conversion methods based on whether you use base 10 (decimal) or base 2 (binary).

Base 10 (Decimal)

In base 10, the calculation is based on standard metric prefixes: 1 byte = 8 bits 1 kilobyte (KB) = 1,000 bytes 1 megabyte (MB) = 1,000,000 bytes 1 gigabyte (GB) = 1,000,000,000 bytes 1 gigabit (Gb) = 1,000,000,000 bits

1 Gibibyte (GiB) = 1,073,741,824 bytes (2^30 bytes) 1 Gigabyte (GB) = 1,000,000,000 bytes

To convert Megabits to Gibibytes in base 10:

1. Convert Megabits to bits: $\text{Megabits} \times 1,000,000 \text{ bits/Megabit} = x \text{ bits}$

2. Convert bits to Bytes: $\text{bits} / 8 = \text{Bytes}$

3. Convert Bytes to Gibibytes: $\text{Bytes} / 1,073,741,824 = \text{Gibibytes}$

For 1 Megabit per hour: $1 \times 1,000,000 \text{ bits} = 1,000,000 \text{ bits}$ $1,000,000 \text{ bits} / 8 = 125,000 \text{ Bytes}$ $125,000 \text{ Bytes} / 1,073,741,824 = 0.000116415 \text{ Gibibytes}$

Base 2 (Binary)

In base 2, the calculation is based on binary prefixes: 1 Kibibyte (KiB) = 2^10 bytes 1 Mebibyte (MiB) = 2^20 bytes 1 Gibibyte (GiB) = 2^30 bytes

To convert Megabits to Gibibytes in base 2:

1. Convert Megabits to bits: $\text{Megabits} \times 2^{20} \text{ bits/Megabit} = x \text{ bits}$

2. Convert bits to Bytes: $\text{bits} / 8 = \text{Bytes}$

3. Convert Bytes to Gibibytes: $\text{Bytes} / 2^{30} = \text{Gibibytes}$

For 1 Megabit per hour: $1 \times 2^{20} \text{ bits} = 1,048,576 \text{ bits}$ $1,048,576 \text{ bits} / 8 = 131,072 \text{ Bytes}$ $131,072 \text{ Bytes} / 2^{30} = 0.00012207 \text{ Gibibytes}$

Real-World Examples

Here are a few real-world examples with different quantities of Megabits per hour:

• 5 Megabits per hour

Base 10: $5 \times 1,000,000 \text{ bits} = 5,000,000 \text{ bits}$ $5,000,000 \text{ bits} / 8 = 625,000 \text{ Bytes}$ $625,000 \text{ Bytes} / 1,073,741,824 = 0.000581 \text{ Gibibytes}$

Base 2: $5 \times 2^{20} \text{ bits} = 5,242,880 \text{ bits}$ $5,242,880 \text{ bits} / 8 = 655,360 \text{ Bytes}$ $655,360 \text{ Bytes} / 2^{30} = 0.00059555 \text{ Gibibytes}$

• 10 Megabits per hour

Base 10: $10 \times 1,000,000 \text{ bits} = 10,000,000 \text{ bits}$ $10,000,000 \text{ bits} / 8 = 1,250,000 \text{ Bytes}$ $1,250,000 \text{ Bytes} / 1,073,741,824 = 0.001162 \text{ Gibibytes}$

Base 2: $10 \times 2^{20} \text{ bits} = 10,485,760 \text{ bits}$ $10,485,760 \text{ bits} / 8 = 1,310,720 \text{ Bytes}$ $1,310,720 \text{ Bytes} / 2^{30} = 0.0011911 \text{ Gibibytes}$

These conversions show the differences between base 10 and base 2 calculations.