Megabits per second to Bytes per minute conversion

How to convert megabits per second to bytes per minute?

To convert from Megabits per second (Mbps) to Bytes per minute, we need to follow a series of conversions. Here's a step-by-step guide for both the base-10 (decimal) and base-2 (binary) systems.

Base-10 (Decimal) System Conversion:

1 Megabit per second (1 Mbps) in base-10 is equivalent to: $1 \text{ Mbps} = 1,000,000 \text{ bits per second (bps)}$

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

Now, to convert seconds to minutes (60 seconds in a minute): $\text{Bps to Bpm} = 125,000 \text{ Bytes per second} \times 60 \text{ seconds} = 7,500,000 \text{ Bytes per minute (Bpm)}$

Base-2 (Binary) System Conversion:

1 Megabit per second in the base-2 system is defined as: $1 \text{ Mi}{bps} = 1,048,576 \text{ bits per second (bps)}$

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

To convert seconds to minutes: $\text{Bps to Bpm} = 131,072 \text{ Bytes per second} \times 60 \text{ seconds} = 7,864,320 \text{ Bytes per minute (Bpm)}$

Summary:

• Base-10 (Decimal): 1 Mbps = 7,500,000 Bytes per minute.
• Base-2 (Binary): 1 Mi(bps) = 7,864,320 Bytes per minute.

Real-World Examples:

1. Home Internet Speed:

   • 100 Mbps (Base-10): $100 \text{ Mbps} \times 7,500,000 \text{ Bytes/min per 1 Mbps} = 750,000,000 \text{ Bytes per minute} = 750 \text{ MB/min}$
   • 100 Mi(bps) (Base-2): $100 \text{ Mi(bps)} \times 7,864,320 \text{ Bytes/min per 1 Mi(bps)} = 786,432,000 \text{ Bytes per minute} = 786.432 \text{ MB/min}$

2. Streaming Video Data Rate:

   • 5 Mbps (Base-10): $5 \text{ Mbps} \times 7,500,000 \text{ Bytes/min per 1 Mbps} = 37,500,000 \text{ Bytes per minute} = 37.5 \text{ MB/min}$
   • 5 Mi(bps) (Base-2): $5 \text{ Mi(bps)} \times 7,864,320 \text{ Bytes/min per 1 Mi(bps)} = 39,321,600 \text{ Bytes per minute} = 39.3216 \text{ MB/min}$

These examples show how different measures of Megabits per second can be converted into actual data quantities per minute, illustrating the impact of the base system used in the calculations.