Megabits per second to Bytes per second conversion

How to convert megabits per second to bytes per second?

To convert megabits per second (Mbps) to bytes per second (Bps), you need to consider the following:

1. Understanding the Units:

   • 1 megabit (Mb) = 1,000,000 bits (base 10, also known as the decimal system).
   • 1 megabit (Mb) = 1,048,576 bits (base 2, also known as the binary system).
   • 1 byte (B) = 8 bits.

2. Conversions:

Base 10 Conversion (Decimal System): 1 Mbps (megabit per second) = 1,000,000 bits per second.

To convert to bytes per second: $\text{Bytes per second (Bps)} = \frac{1,000,000 \text{ bits/sec}}{8 \text{ bits/byte}} = 125,000 \text{ bytes/sec}$

So, in base 10: $1 \text{ Mbps} = 125,000 \text{ Bps}$

Base 2 Conversion (Binary System): 1 Mbps (megabit per second) = 1,048,576 bits per second.

To convert to bytes per second: $\text{Bytes per second (Bps)} = \frac{1,048,576 \text{ bits/sec}}{8 \text{ bits/byte}} = 131,072 \text{ bytes/sec}$

So, in base 2: $1 \text{ Mbps} = 131,072 \text{ Bps}$

3. Real-World Examples:

Given other quantities of Mbps, you can use the same conversion approach:

• 10 Mbps:

Base 10: $10 \text{ Mbps} = 10 \times 125,000 \text{ Bps} = 1,250,000 \text{ Bps}$

Base 2: $10 \text{ Mbps} = 10 \times 131,072 \text{ Bps} = 1,310,720 \text{ Bps}$

• 50 Mbps:

Base 10: $50 \text{ Mbps} = 50 \times 125,000 \text{ Bps} = 6,250,000 \text{ Bps}$

Base 2: $50 \text{ Mbps} = 50 \times 131,072 \text{ Bps} = 6,553,600 \text{ Bps}$

• 100 Mbps:

Base 10: $100 \text{ Mbps} = 100 \times 125,000 \text{ Bps} = 12,500,000 \text{ Bps}$

Base 2: $100 \text{ Mbps} = 100 \times 131,072 \text{ Bps} = 13,107,200 \text{ Bps}$

By understanding these conversions, you can easily switch between different units, whether you're working with decimal or binary-based systems. These conversions are especially useful when dealing with internet speeds, data transfer rates for storage devices, or any other scenarios where data throughput is critical.