Bytes per day to bits per second conversion

How to convert bytes per day to bits per second?

If you're trying to convert 1 byte per day to bits per second, here's how you can do it step-by-step. The conversion doesn't differ between base 10 and base 2 for bytes to bits per second because the conversion factors between these units are constant.

Conversion Steps

1. Convert Bytes to Bits:

   • 1 Byte = 8 bits

2. Convert Days to Seconds:

   • 1 day = 24 hours
   • 1 hour = 60 minutes
   • 1 minute = 60 seconds
   • Therefore, 1 day = 24 * 60 * 60 = 86,400 seconds

3. Calculate Bits per Second:

   • Given: 1 Byte per day = 8 bits per day
   • To find bits per second, divide the total bits by the total seconds in a day: $\text{Bits per second} = \frac{8 \text{ bits}}{86,400 \text{ seconds}}$
   • $\text{Bits per second} = \frac{1}{10,800} \text{ bits per second}$
   • Simplifying, $\text{Bits per second} = 9.26 \times 10^{-5} \text{ bits per second}$

Real-World Examples for Other Quantities

1. 1 KB (Kilobyte) per day:

   • 1 KB = 1,024 Bytes
   • Bits per day = 1,024 Bytes * 8 bits/Byte = 8,192 bits
   • Bits per second = $\frac{8,192 \text{ bits}}{86,400 \text{ seconds}}$
   • = 0.0948 bits per second

2. 1 MB (Megabyte) per day:

   • 1 MB = 1,024 KB = 1,024 * 1,024 Bytes = 1,048,576 Bytes
   • Bits per day = 1,048,576 Bytes * 8 bits/Byte = 8,388,608 bits
   • Bits per second = $\frac{8,388,608 \text{ bits}}{86,400 \text{ seconds}}$
   • ≈ 97.1 bits per second

3. 1 GB (Gigabyte) per day:

   • 1 GB = 1,024 MB = 1,024 * 1,024 KB = 1,024 * 1,024 * 1,024 Bytes = 1,073,741,824 Bytes
   • Bits per day = 1,073,741,824 Bytes * 8 bits/Byte = 8,589,934,592 bits
   • Bits per second = $\frac{8,589,934,592 \text{ bits}}{86,400 \text{ seconds}}$
   • ≈ 99,290.3 bits per second

4. 1 TB (Terabyte) per day:

   • 1 TB = 1,024 GB = 1,024 * 1,024 MB = 1,024 * 1,024 * 1,024 KB = 1,024 * 1,024 * 1,024 * 1,024 Bytes = 1,099,511,627,776 Bytes
   • Bits per day = 1,099,511,627,776 Bytes * 8 bits/Byte = 8,796,093,022,208 bits
   • Bits per second = $\frac{8,796,093,022,208 \text{ bits}}{86,400 \text{ seconds}}$
   • ≈ 101,842,793 bits per second

Summary

The rate of 1 Byte per day translates to approximately $9.26 \times 10^{-5}$ bits per second. This calculation holds true for both base 10 and base 2 units because the conversions from bytes to bits and from days to seconds are consistent across these systems.