Bytes per second to Mebibits per day conversion

How to convert bytes per second to mebibits per day?

Certainly! Converting 1 byte per second to Mebibits per day involves a few steps and conversions.

Conversion Basics

1. Bytes to Bits: 1 byte = 8 bits
2. Seconds to Days: 1 day = 86,400 seconds (24 hours * 60 minutes * 60 seconds)
3. Bits to Mebibits (Mi):
   • Base 2: 1 Mebibit (Mi) = 2^20 bits = 1,048,576 bits
   • Base 10: 1 Megabit (M) = 10^6 bits = 1,000,000 bits

Base 2 Conversion

1. Bytes per second to bits per second: $1 \, \text{Byte/second} = 8 \, \text{bits/second}$

2. Bits per second to bits per day: $8 \, \text{bits/second} \times 86,400 \, \text{seconds/day} = 691,200 \, \text{bits/day}$

3. Bits per day to Mebibits per day: $\frac{691,200 \, \text{bits/day}}{1,048,576 \, \text{bits/Mi}} \approx 0.659 \, \text{Mi/day}$

Base 10 Conversion

1. Bytes per second to bits per second: $1 \, \text{Byte/second} = 8 \, \text{bits/second}$

2. Bits per second to bits per day: $8 \, \text{bits/second} \times 86,400 \, \text{seconds/day} = 691,200 \, \text{bits/day}$

3. Bits per day to Megabits per day: $\frac{691,200 \, \text{bits/day}}{1,000,000 \, \text{bits/M}} = 0.6912 \, \text{M/day}$

Summary

• Base 2 (Mebibits): $1 \, \text{Byte/second} \approx 0.659 \, \text{Mi/day}$
• Base 10 (Megabits): $1 \, \text{Byte/second} = 0.6912 \, \text{M/day}$

Real-World Examples for Different Quantities:

• 10 Bytes per second:

  • Base 2: $10 \times 0.659 \approx 6.59 \, \text{Mi/day}$
  • Base 10: $10 \times 0.6912 = 6.912 \, \text{M/day}$

• 100 Bytes per second:

  • Base 2: $100 \times 0.659 \approx 65.9 \, \text{Mi/day}$
  • Base 10: $100 \times 0.6912 = 69.12 \, \text{M/day}$

• 1 Megabyte per second (1,000,000 Bytes per second):

  • Base 2: $1,000,000 \times 0.659 \approx 659,000 \, \text{Mi/day}$
  • Base 10: $1,000,000 \times 0.6912 = 691,200 \, \text{M/day}$

Typical Use Cases:

• 1 Byte per second: Monitoring simple status messages or low-bandwidth telemetry.
• 10 Bytes per second: Basic sensor data logging in IoT devices.
• 100 Bytes per second: Frequent updates from multiple sensor datasets or simple logs.
• 1 Megabyte per second: High-definition video streaming or large file transfers over modern high-speed connections.

These examples give a scale for understanding different data transfer rates and their corresponding data volumes over a day, illustrating how even small changes in the rate can lead to significant differences in daily data transferred.