Gigabits per second to Mebibytes per day conversion

How to convert gigabits per second to mebibytes per day?

To convert from Gigabits per second (Gbps) to Mebibytes per day (MiB/day), you need to consider the relationships between these units. Let's break down the conversion step-by-step.

Conversion in Base 10 (Decimal System)

1. Bits to bytes: 1 byte = 8 bits
2. Gigabits to bits: 1 Gigabit (Gb) = 10^9 bits
3. Convert seconds to a day: 1 day = 24 hours * 3600 seconds/hour = 86400 seconds
4. Bytes to Mebibytes: In base 10, 1 Megabyte = 10^6 bytes, but for Mebibytes, we use base 2.

Base 10 and Base 2 differences occur at the point of converting to Mebibytes.

Base 10 Conversion:

1. Gigabits to Gigabytes (GB):
   • 1 Gbps = 1 * 10^9 bits per second
   • Divide by 8 to get bytes: (10^9) / 8 = 125 * 10^6 bytes per second
2. Seconds to a day:
   • So per day: 125 * 10^6 bytes/second * 86400 seconds/day = 10.8 * 10^12 bytes/day
3. Convert Bytes to Megabytes (MB):
   • 10.8 * 10^12 bytes/day / 10^6 bytes/MB = 10.8 * 10^6 MB/day

Base 2 Conversion:

1. Gigabits to bytes:
   • 1 Gbps = 10^9 bits/second
   • Divide by 8 to get bytes: (10^9) / 8 = 125 * 10^6 bytes/second
2. Second to Bytes in a day:
   • 125 * 10^6 bytes/second * 86400 seconds/day = 10.8 *10^12 bytes/day
3. Convert to Mebibytes (MiB):
   • 1 MiB = 2^20 bytes = 1,048,576 bytes
   • So, 10.8 *10^12 bytes/ 2^20 bytes/MiB = 10,800,000,000 bytes / 1,048,576 bytes/MiB = 10320 MiB/day

Real-World Examples for Other Quantities of Gbps

1. Internet Backbone Speed:

   • Large ISPs and data centers may have connections of up to 100 Gbps.
   • Converting 100 Gbps in Base 2 to MiB/day:
     • $100 Gbps \times 10,800 MiB/day = 1,080,000 MiB/day$

2. Corporate Network Speed:

   • A typical high-speed corporate network might use 10 Gbps connections.
   • Converting 10 Gbps in Base 2 to MiB/day:
     • $10 Gbps \times 10320 MiB/day = 103,200 MiB/day$

3. Home Network Speed:

   • High-speed internet for homes might range from 1 Gbps down to 100 Mbps.
   • For 100 Mbps:
     • $100 Mbps = 0.1 Gbps$
     • Converting to MiB in Base 2:
     • $0.1 Gbps \times 10,800 MiB/day = 1,080 MiB/day$

These conversions help to understand and quantify data rates in terms of daily data transfer, making it easier to evaluate the suitability of different network speeds for various use cases like downloading/uploading large volumes of data, running extensive cloud services, or supporting high traffic websites.