Bytes per day to Megabytes per second conversion

How to convert bytes per day to megabytes per second?

To convert from bytes per day (B/day) to megabytes per second (MB/s), you need to go through several steps of unit conversion.

1. Understand the relationship between the units:

   • 1 day = 24 hours
   • 1 hour = 60 minutes
   • 1 minute = 60 seconds

   Therefore, 1 day = 24 * 60 * 60 = 86,400 seconds.

2. Convert bytes to megabytes:

   • For base 10 (decimal), 1 megabyte (MB) = 1,000,000 bytes.
   • For base 2 (binary), 1 mebibyte (MiB) = 2^20 bytes = 1,048,576 bytes.

Conversion Steps:

Base 10 (Decimal):

1. Divide the number of bytes by 86,400 to convert from bytes per day to bytes per second.
2. Divide the result by 1,000,000 to convert from bytes per second to megabytes per second.

So, for 1 B/day: $\frac{1 \text{ byte/day}}{86,400 \text{ seconds/day}} = 1.15741 \times 10^{-5} \text{ bytes/second}$ $\frac{1.15741 \times 10^{-5} \text{ bytes/second}}{1,000,000 \text{ bytes/MB}} = 1.15741 \times 10^{-11} \text{ MB/second}$

Base 2 (Binary):

1. Divide the number of bytes by 86,400 to convert from bytes per day to bytes per second.
2. Divide the result by 1,048,576 to convert from bytes per second to mebibytes per second.

So, for 1 B/day: $\frac{1 \text{ byte/day}}{86,400 \text{ seconds/day}} = 1.15741 \times 10^{-5} \text{ bytes/second}$ $\frac{1.15741 \times 10^{-5} \text{ bytes/second}}{1,048,576 \text{ bytes/MiB}} = 1.10427 \times 10^{-11} \text{ MiB/second}$

Real-world Examples:

1. Data Transfer Rate for Internet Plans:

• A slow internet speed of 128 kbps (kilobits per second) can be converted to bytes per day. $128 \text{ kbps} = 16,000 \text{ bytes/second} = 1,382,400,000 \text{ bytes/day} \approx 1.3824 \text{ GB/day}$

2. Daily Smartphone Data Usage:

• An average smartphone user might use up to 5 GB of data per day. $5 \text{ GB/day} = 5,000,000,000 \text{ bytes/day}$ For base 10 (decimal) conversion: $\frac{5,000,000,000}{86,400} \approx 57,870.37 \text{ bytes/second} \approx 0.0579 \text{ MB/second}$

3. Video Streaming:

• Streaming a 1080p video at 5 Mbps (megabits per second) for an entire day. $5 \text{ Mbps} = 625,000 \text{ bytes/second} = 54,000,000,000 \text{ bytes/day}$ For base 10: $\frac{54,000,000,000}{1,000,000} = 54,000 \text{ MB/day}$

By understanding these conversions, you can better grasp the data consumption and transfer rates for various digital activities.