Kibibytes per day to Gigabytes per second conversion

How to convert kibibytes per day to gigabytes per second?

To convert from Kibibytes per day (KiB/day) to Gigabytes per second (GB/s), you'll have to go through multiple conversion steps, taking into account that Kibibytes and Gigabytes differ based on whether you're using base 2 or base 10.

Base 2

• Conversion units:
  • 1 Kibibyte (KiB) = 2¹⁰ bytes = 1024 bytes
  • 1 Gibibyte (GiB) = 2³⁰ bytes = 1,073,741,824 bytes

1. Convert Kibibytes to bytes:

   • 1 KiB/day = 1 KiB/day × 1024 bytes/KiB = 1024 bytes/day

2. Convert days to seconds:

   • 1 day = 24 hours × 60 minutes/hour × 60 seconds/minute = 86,400 seconds

3. Convert bytes/day to bytes/second:

   • $\frac{1024 \text{ bytes}}{86400 \text{ seconds}}$ ≈ 0.01185 bytes/second

4. Convert bytes/second to Gigabytes/second:

   • 1 GiB = 1,073,741,824 bytes
   • $\frac{0.01185 \text{ bytes/second}}{1,073,741,824 \text{ bytes/GiB}}$ ≈ 1.10375 × 10⁻¹¹ GiB/s

5. Optionally convert Gibibytes to Gigabytes (base 2):

   • 1 GiB (base 2) = 1 GiB (base 10)

Hence, 1 KiB/day ≈ 1.10375 × 10⁻¹¹ GiB/s or base 2 GB/s.

Base 10

• Conversion units:
  • 1 Kibibyte (KiB) = 1024 bytes
  • 1 Gigabyte (GB) = 10⁹ bytes

1. Convert Kibibytes to bytes:

   • 1 KiB/day = 1 KiB/day × 1024 bytes/KiB = 1024 bytes/day

2. Convert days to seconds:

   • 1 day = 24 hours × 60 minutes/hour × 60 seconds/minute = 86,400 seconds

3. Convert bytes/day to bytes/second:

   • $\frac{1024 \text{ bytes}}{86400 \text{ seconds}}$ = 0.01185 bytes/second

4. Convert bytes/second to Gigabytes/second:

   • 1 GB = 10⁹ bytes
   • $\frac{0.01185 \text{ bytes/second}}{10⁹ \text{ bytes/GB}}$ = 1.185 × 10⁻¹¹ GB/s

Therefore, 1 KiB/day ≈ 1.185 × 10⁻¹¹ GB/s (base 10).

Real-world Examples

1. 10 KiB/day:

   • Base 2: $10 \times 1.10375 \times 10^{-11}$ GiB/s ≈ 1.10375 × 10⁻¹⁰ GiB/s
   • Base 10: $10 \times 1.185 \times 10^{-11}$ GB/s ≈ 1.185 × 10⁻¹⁰ GB/s

2. 100 KiB/day:

   • Base 2: $100 \times 1.10375 \times 10^{-11}$ GiB/s ≈ 1.10375 × 10⁻⁹ GiB/s
   • Base 10: $100 \times 1.185 \times 10^{-11}$ GB/s ≈ 1.185 × 10⁻⁹ GB/s

3. 1,024 KiB/day (1 MiB/day):

   • Base 2: $1,024 \times 1.10375 \times 10^{-11}$ GiB/s ≈ 1.130 × 10⁻⁸ GiB/s
   • Base 10: $1,024 \times 1.185 \times 10^{-11}$ GB/s ≈ 1.213 × 10⁻⁸ GB/s

This should give you an idea of how to convert and how the values scale with different quantities of KiB/day.