Gigabits per day to Kilobytes per second conversion

How to convert gigabits per day to kilobytes per second?

To convert 1 Gigabit per day (Gb/d) to Kilobytes per second (KB/s), you need to follow these steps:

Step-by-Step Conversion:

1. Convert Gigabits to Bits:

1 Gigabit (Gb) is equal to $10^9$ bits (base 10) or $2^{30}$ bits (base 2).

2. Convert Days to Seconds:

1 day is equal to 24 hours, and each hour is 3600 seconds. Therefore: $\text{1 day} = 24 \times 3600 \, \text{seconds} = 86400 \, \text{seconds}$

3. Calculate Bits per Second:

$\text{Bits per second} = \frac{\text{Total bits}}{\text{Seconds in a day}}$

4. Convert Bits per Second to Kilobytes per Second:

1 byte (B) is $8$ bits, so: $\text{Bytes per second} = \frac{\text{Bits per second}}{8}$ 1 Kilobyte (KB) is $10^3$ bytes (base 10) or $2^{10}$ bytes (base 2).

Base 10 Conversion:

1. Convert Gigabits to Bits (base 10): $1 \, \text{Gb} = 10^9 \, \text{bits}$

2. Bits per Second: $\text{Bits per second} = \frac{10^9 \, \text{bits}}{86400 \, \text{seconds}} \approx 11574.1 \, \text{bits/second}$

3. Bytes per Second: $\text{Bytes per second} = \frac{11574.1 \, \text{bits/second}}{8} \approx 1446.7625 \, \text{B/second}$

4. Kilobytes per Second (base 10): $\text{Kilobytes per second} = \frac{1446.7625 \, \text{B/second}}{10^3} \approx 1.4467625 \, \text{KB/second}$

Base 2 Conversion:

1. Convert Gigabits to Bits (base 2): $1 \, \text{Gb} = 2^{30} \, \text{bits} \approx 1,073,741,824 \, \text{bits}$

2. Bits per Second: $\text{Bits per second} = \frac{2^{30} \, \text{bits}}{86400 \, \text{seconds}} \approx 12407.1 \, \text{bits/second}$

3. Bytes per Second: $\text{Bytes per second} = \frac{12407.1 \, \text{bits/second}}{8} \approx 1550.8875 \, \text{B/second}$

4. Kilobytes per Second (base 2): $\text{Kilobytes per second} = \frac{1550.8875 \, \text{B/second}}{2^{10}} \approx 1.514 \, \text{KB/second}$

Real-World Examples:

Here are some conversions for other quantities of Gigabits per day:

10 Gigabits per Day:

• Base 10: $\approx 14.467625 \, \text{KB/s}$

• Base 2: $\approx 15.14 \, \text{KB/s}$

100 Gigabits per Day:

• Base 10: $\approx 144.67625 \, \text{KB/s}$

• Base 2: $\approx 151.4 \, \text{KB/s}$

1000 Gigabits per Day:

• Base 10: $\approx 1446.7625 \, \text{KB/s}$

• Base 2: $\approx 1514 \, \text{KB/s}$

These conversions are useful for understanding how long it might take to download various quantities of data over a network connection that is rated in these terms. For example, if you have a network link with a data rate specified in Gigabits per day, you can convert that to more conventional per-second rates to gauge performance.