Megabits per second to Gigabytes per second conversion

How to convert megabits per second to gigabytes per second?

Sure, let's start by understanding the basic units of measurement.

1 Megabit (Mb) = 1,000,000 bits in base 10 (decimal system), which is commonly used. 1 Megabit (Mb) = 1,048,576 bits in base 2 (binary system), which is used in computing.

Conversion Steps:

Base 10 Conversion:

1. Convert Megabits to bits: $1 \text{ Mb} = 1,000,000 \text{ bits}$

2. Convert bits to bytes (since there are 8 bits in a byte): $1,000,000 \text{ bits} = 1,000,000 \div 8 = 125,000 \text{ Bytes}$

3. Convert bytes to gigabytes (since there are 1,000,000,000 bytes in a gigabyte): $125,000 \text{ Bytes} = 125,000 \div 1,000,000,000 = 0.000125 \text{ GB (Gigabytes)}$

Thus, 1 Megabit per second (Mb/s) is equivalent to 0.000125 Gigabytes per second (GB/s) in decimal (base 10).

Base 2 Conversion:

1. Convert Megabits to bits: $1 \text{ Mb} = 1,048,576 \text{ bits}$

2. Convert bits to bytes: $1,048,576 \div 8 = 131,072 \text{ Bytes}$

3. Convert bytes to gigabytes (since there are 1,073,741,824 bytes in a Gibibyte, but for simplicity 1,024^3): $131,072 \text{ Bytes} = 131,072 \div 1,073,741,824 = 0.00012207 \text{ GiB (Gibibytes)}$

Thus, 1 Megabit per second (Mb/s) is approximately equivalent to 0.00012207 Gibibytes per second (GiB/s) in binary (base 2).

Real-World Examples:

Base 10 Examples:

• 100 Mbps internet connection:

  • Convert 100 Mbps to gigabytes per second: $100 \times 0.000125 \text{ GB/s} = 0.0125 \text{ GB/s}$

• 1 Gbps (Gigabit per second) Ethernet:

  • Convert 1 Gbps to gigabytes per second: $1,000 \times 0.000125 \text{ GB/s} = 0.125 \text{ GB/s}$

Base 2 Examples:

• 50 Mbps streaming service:

  • Convert 50 Mbps to gibibytes per second: $50 \times 0.00012207 \text{ GiB/s} = 0.0061035 \text{ GiB/s}$

• 500 Mbps high-speed internet:

  • Convert 500 Mbps to gibibytes per second: $500 \times 0.00012207 \text{ GiB/s} = 0.061035 \text{ GiB/s}$

It's important to know which base is being used when talking about data rates, as the choice of base can slightly alter the numerical values used in calculations.