bits per day to Gigabits per minute conversion

How to convert bits per day to gigabits per minute?

To convert 1 bit per day to gigabits per minute, we need to follow a few steps. Here, we'll first convert from bits per day to bits per minute, and then from bits to gigabits. The final step will involve understanding whether we're working in base 10 (decimal) or base 2 (binary). Let's go through the entire conversion process for both bases.

Step 1: Convert bits per day to bits per minute

There are 24 hours in a day, 60 minutes in an hour, so:

$\text{Total minutes in a day} = 24 \times 60 = 1440 \text{ minutes}$

So,

$1 \text{ bit per day} = \frac{1 \text{ bit}}{1440 \text{ minutes}} \approx 0.0006944 \text{ bits per minute}$

Step 2: Convert bits per minute to gigabits per minute (Base 10)

In base 10 (decimal):

$1 \text{ gigabit (Gb)} = 10^9 \text{ bits}$

So,

$0.0006944 \text{ bits per minute} = 0.0006944 \times 10^{-9} \text{ gigabits per minute}$

$0.0006944 \times 10^{-9} = 6.944 \times 10^{-13} \text{ gigabits per minute}$

Step 3: Convert bits per minute to gigabits per minute (Base 2)

In base 2 (binary):

$1 \text{ gibibit (GiB)} = 2^{30} \text{ bits} = 1073741824 \text{ bits}$

So,

$0.0006944 \text{ bits per minute} = \frac{0.0006944}{1073741824} \text{ gibibits per minute}$

$= 6.468 \times 10^{-13} \text{ gibibits per minute}$

Summary:

• Base 10: $1 \text{ bit per day} \approx 6.944 \times 10^{-13} \text{ gigabits per minute}$
• Base 2: $1 \text{ bit per day} \approx 6.468 \times 10^{-13} \text{ gibibits per minute}$

Real World Examples

1. 1 kilobit per day (1000 bits per day)

   • Base 10: $6.944 \times 10^{-10} \text{ gigabits per minute}$
   • Base 2: $6.468 \times 10^{-10} \text{ gibibits per minute}$

2. 1 megabit per day (1000000 bits per day)

   • Base 10: $6.944 \times 10^{-7} \text{ gigabits per minute}$
   • Base 2: $6.468 \times 10^{-7} \text{ gibibits per minute}$

3. 1 gigabit per day (1000000000 bits per day)

   • Base 10: $6.944 \times 10^{-4} \text{ gigabits per minute}$
   • Base 2: $6.468 \times 10^{-4} \text{ gibibits per minute}$

These conversions show just how small a bit per day translates to in terms of gigabits per minute, illustrating the extreme difference in scale between these units.