Gibibytes per second to bits per day conversion

How to convert gibibytes per second to bits per day?

To convert 1 Gibibyte per second (GiB/s) to bits per day, you need to follow several steps. Let's break down the process for both base 2 and base 10 systems.

Conversion Factors

1. Base 2 (Binary) System:

   • 1 GiB = $2^{30}$ bytes = 1,073,741,824 bytes
   • 1 byte = 8 bits
   • Seconds in a day = 24 hours/day * 60 minutes/hour * 60 seconds/minute = 86,400 seconds/day

2. Base 10 (Decimal) System (for comparison to SI units):

   • 1 GB (Gigabyte) = $10^9$ bytes = 1,000,000,000 bytes
   • 1 byte = 8 bits
   • Seconds in a day = 86,400 seconds/day

Conversion Calculations

Base 2 System:

1. Convert GiB to Bytes: $1 \text{ GiB} = 1,073,741,824 \text{ bytes}$

2. Convert per second to per day: $1 \text{ GiB/s} = 1,073,741,824 \text{ bytes/second} \times 86,400 \text{ seconds/day} = 92,233,720,368,640 \text{ bytes/day}$

3. Convert bytes to bits: $92,233,720,368,640 \text{ bytes/day} \times 8 \text{ bits/byte} = 737,869,762,948,120 \text{ bits/day}$

So, in the base 2 system, 1 GiB/s equals 737,869,762,948,120 bits/day.

Base 10 System (for comparison):

1. Convert GB to Bytes: $1 \text{ GB} = 1,000,000,000 \text{ bytes}$

2. Convert per second to per day: $1 \text{ GB/s} = 1,000,000,000 \text{ bytes/second} \times 86,400 \text{ seconds/day} = 86,400,000,000,000 \text{ bytes/day}$

3. Convert bytes to bits: $86,400,000,000,000 \text{ bytes/day} \times 8 \text{ bits/byte} = 691,200,000,000,000 \text{ bits/day}$

So, in the base 10 system, 1 GB/s equals 691,200,000,000,000 bits/day.

Real World Examples:

Here are a few real-world scenarios involving different quantities of Gibibytes per second:

1. Consumer Internet Connection:

   • A high-speed internet connection might be 1 GiB/s, which, as calculated, transfers approximately 737,869,762,948,120 bits per day.

2. Data Center Transfers:

   • A data center backbone might handle 10 GiB/s, which would be approximately 7,378,697,629,481,200 bits per day (base 2).

3. High-speed Scientific Research:

   • For high-speed scientific data collection, such as Large Hadron Collider experiments that might produce data at 100 GiB/s, it would result in approximately 73,786,976,294,812,000 bits per day (base 2).

Different systems use base 2 or base 10 depending on the context, with base 2 (binary) being more common in computer science and base 10 (decimal) being more common in telecommunications and other industries.