Gigabytes per second to Kilobits per second conversion

How to convert gigabytes per second to kilobits per second?

To convert data transfer rates from Gigabytes per second (GBps) to Kilobits per second (Kbps), you need to take into account the conversion factors for both base 10 (decimal) and base 2 (binary) systems. Here’s how you can perform these conversions:

Steps for Conversion:

Base 10 (Decimal):

1. 1 Gigabyte (GB) = 1,000,000,000 Bytes.
2. To get bits from bytes, multiply by 8 (since there are 8 bits in a byte).
3. Convert bits to Kilobits (Kb) by dividing by 1,000 (since there are 1,000 bits in a Kilobit).

Base 2 (Binary):

1. 1 Gigabyte (GB) = 1,073,741,824 Bytes (2^30 Bytes).
2. To get bits from bytes, again multiply by 8.
3. Convert bits to Kilobits (Kb) by dividing by 1,024 (since there are 1,024 bits in a Kilobit in binary).

Conversions:

Base 10 (Decimal):

1. 1 GB = 1,000,000,000 Bytes
2. 1 GB = 1,000,000,000 Bytes * 8 bits/Byte = 8,000,000,000 bits
3. 1 GBps = 8,000,000,000 bits per second
4. Convert to Kilobits per second: 8,000,000,000 bits per second / 1,000 = 8,000,000 Kbps

So, 1 GBps (base 10) = 8,000,000 Kbps

Base 2 (Binary):

1. 1 GB = 1,073,741,824 Bytes (2^30 Bytes)
2. 1 GB = 1,073,741,824 Bytes * 8 bits/Byte = 8,589,934,592 bits
3. 1 GBps = 8,589,934,592 bits per second
4. Convert to Kilobits per second: 8,589,934,592 bits per second / 1,024 = 8,388,608 Kbps

So, 1 GBps (base 2) = 8,388,608 Kbps

Real World Examples:

1. 5 GBps Data Transfer (Base 10) to Kbps: 5 GBps = 5 * 8,000,000 Kbps = 40,000,000 Kbps

2. 2.5 GBps Data Transfer (Base 2) to Kbps: 2.5 GBps = 2.5 * 8,388,608 Kbps = 20,971,520 Kbps

3. 10 GBps Data Transfer (Base 10) to Kbps: 10 GBps = 10 * 8,000,000 Kbps = 80,000,000 Kbps

4. 7.5 GBps Data Transfer (Base 2) to Kbps: 7.5 GBps = 7.5 * 8,388,608 Kbps = 62,914,560 Kbps

These conversions give you an idea of how data rates in Gigabytes per second translate to Kilobits per second in both decimal and binary systems. Understanding these differences is important when working with various types of computer memory and data transfer standards, as they may use different bases for calculation.