Bytes per second to Gibibits per day conversion

How to convert bytes per second to gibibits per day?

Sure, let's start by understanding the units and conversion factors involved in converting Bytes per second to Gibibits per day.

Conversion Steps

1. Convert Bytes to Bits:

   • 1 Byte (B) = 8 Bits (b)

2. Convert Bits per second to Bits per day:

   • There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day.
   • Therefore, 1 second = 1 second
   • Therefore, 1 Bytes per second (B/s) = 8 Bits/sec (b/s)
   • So, 1 b/s * 60 seconds/minute * 60 minutes/hour * 24 hours/day = 1 b/s * 86400 seconds/day = 86400 b/day

3. Convert Bits per day to Gibibits per day:

   • To convert to Gibibits (Gib), we need to account for whether we're using base 2 or base 10.

For Base 2 (Binary) Conversion:

• 1 Gibibit (Gib) = 2^30 bits = 1,073,741,824 bits
• Therefore, 86400 b/day * (1 Gib/ 1,073,741,824 bits)

   86400 b/day ÷ 1,073,741,824 b/Gib = 8.049 × 10^-5 Gib/day

For Base 10 (Decimal) Conversion:

• 1 Gigabit (Gb) = 10^9 bits = 1,000,000,000 bits
• Therefore, 86400 b/day * (1 Gb/ 1,000,000,000 bits)

   86400 b/day ÷ 1,000,000,000 b/Gb = 8.64 × 10^-5 Gb/day

Summarized Conversion Results:

1. Base 2 (Binary):

   • 1 Bytes per second ≈ 8.049 × 10^-5 Gibibits per day

2. Base 10 (Decimal):

   • 1 Bytes per second ≈ 8.64 × 10^-5 Gigabits per day

Real-World Examples:

To make these numbers relatable, let's consider higher rates of data transfer:

1. 10 Megabytes per second (10 MB/s):

   • 1 MB = 1,024 KB and 1 KB = 1,024 Bytes (base 2).
   • Therefore, 10 MB/s = 10 * 1,024 * 1,024 Bytes/s = 10,485,760 Bytes/s.
   • In base 2, converting to Gibibits per day:
     • 10,485,760 B/s * 8 b/B = 83,886,080 b/s
     • 83,886,080 b/s * 86400 s/day = 7,241,377,152,000 b/day
     • 7,241,377,152,000 b/day ÷ 2^30 ≈ 6,746 Gib/day (rounded off).
   • In base 10:
     • 10 MB/s = 10,000,000 Bytes/s.
     • In b/s = 10,000,000 * 8 b/B = 80,000,000 b/s
     • In b/day = 80,000,000 b/s * 86,400 s/day = 6,912,000,000,000 b/day
     • 6,912,000,000,000 b/day ÷ 10^9 ≈ 6,912 Gb/day.

2. 1 Gigabyte per second (1 GB/s):

   • 1 GB = 1,024 MB and 1 MB = 1,024 KB, 1 KB = 1,024 Bytes.
   • Thus, 1 GB/s = 1,024 * 1,024 * 1,024 Bytes/s = 1,073,741,824 Bytes/s.
   • In base 2, converting to Gibibits per day:
     • 1,073,741,824 B/s * 8 b/B = 8,589,934,592 b/s
     • 8,589,934,592 b/s * 86400 s/day = 743,008,370,688,000 b/day
     • 743,008,370,688,000 b/day ÷ 2^30 ≈ 69120 Gib/day.
   • In base 10:
     • 1 GB/s = 1,000,000,000 Bytes/s.
     • In b/s = 1,000,000,000 * 8 b/B = 8,000,000,000 b/s
     • In b/day = 8,000,000,000 b/s * 86,400 s/day = 691,200,000,000,000 b/day
     • 691,200,000,000,000 b/day ÷ 10^9 ≈ 691200 Gb/day.

These examples illustrate how different data rates would convert to Gibibits per day in both base 2 and base 10.