Megabytes per minute to Megabits per day conversion

How to convert megabytes per minute to megabits per day?

To convert 1 Megabyte per minute (MB/min) to Megabits per day (Mb/day), follow these steps:

Base 10 (Decimal System)

In the decimal system, the conversion factors are: 1 Byte = 8 bits 1 Megabyte (MB) = 10^6 Bytes 1 Megabit (Mb) = 10^6 bits

Conversion Steps:

1. Convert Megabytes per minute to Megabits per minute: $1 \text{ MB/min} = 1 \times 8 \text{ Mb/min} = 8 \text{ Mb/min}$

2. Convert Megabits per minute to Megabits per day: $8 \text{ Mb/min} \times 60 \text{ min/hour} \times 24 \text{ hours/day} = 8 \times 60 \times 24 \text{ Mb/day}$ $8 \times 1440 \text{ Mb/day} = 11520 \text{ Mb/day}$

So, 1 Megabyte per minute is equivalent to 11,520 Megabits per day in the base 10 system.

Base 2 (Binary System)

In the binary system (which is often used in computing), the conversion factors are: 1 Byte = 8 bits 1 Megabyte (MiB) = 2^20 Bytes 1 Megabit (Mib) = 2^20 bits

Conversion Steps:

1. Convert Megabytes per minute to Megabits per minute: $1 \text{ MiB/min} = 1 \times 8 \text{ Mib/min} = 8 \text{ Mib/min}$

2. Convert Megabits per minute to Megabits per day: $8 \text{ Mib/min} \times 60 \text{ min/hour} \times 24 \text{ hours/day} = 8 \times 60 \times 24 \text{ Mib/day}$ $8 \times 1440 \text{ Mib/day} = 11520 \text{ Mib/day}$

So, 1 Megabyte per minute is equivalent to 11,520 Megabits per day in the base 2 system as well.

Real World Examples

10 Megabytes per minute

1. Base 10: $10 \text{ MB/min} = 10 \times 11520 \text{ Mb/day} = 115200 \text{ Mb/day}$

2. Base 2: $10 \text{ MiB/min} = 10 \times 11520 \text{ Mib/day} = 115200 \text{ Mib/day}$

5 Megabytes per minute

1. Base 10: $5 \text{ MB/min} = 5 \times 11520 \text{ Mb/day} = 57600 \text{ Mb/day}$

2. Base 2: $5 \text{ MiB/min} = 5 \times 11520 \text{ Mib/day} = 57600 \text{ Mib/day}$

20 Megabytes per minute

1. Base 10: $20 \text{ MB/min} = 20 \times 11520 \text{ Mb/day} = 230400 \text{ Mb/day}$

2. Base 2: $20 \text{ MiB/min} = 20 \times 11520 \text{ Mib/day} = 230400 \text{ Mib/day}$

In all these cases, whether you use base 10 or base 2, the conversion from MB/min to Mb/day is numerically the same because the ratios of bytes to bits are the same in each system. The distinction mainly becomes significant when dealing with the actual size of Megabytes (MB vs. MiB) which wasn't necessary here since we're converting to bits directly.