Gigabits per day to bits per second conversion

How to convert gigabits per day to bits per second?

Sure, let's convert 1 Gigabit per day (Gbit/day) to bits per second (bps).

Base 10 (Decimal):

1. Determine the total number of seconds in a day:

   • There are 24 hours in a day.
   • There are 60 minutes in an hour.
   • There are 60 seconds in a minute.
   • Total seconds in a day = 24 * 60 * 60 = 86,400 seconds.

2. Convert Gigabits to bits:

   • 1 Gigabit = 1,000,000,000 bits (in base 10).

3. Calculate bits per second:

   • $\text{bits per second} = \frac{1,000,000,000 \text{ bits}}{86,400 \text{ seconds}}$
   • $\text{bits per second} \approx 11,574 \text{ bps}$

Base 2 (Binary):

1. Determine the total number of seconds in a day:

   • Same as above: 86,400 seconds.

2. Convert Gigabits to bits:

   • 1 Gibibit (1 Gbit in base 2) = 2^30 bits = 1,073,741,824 bits.

3. Calculate bits per second:

   • $\text{bits per second} = \frac{1,073,741,824 \text{ bits}}{86,400 \text{ seconds}}$
   • $\text{bits per second} \approx 12,422 \text{ bps}$

Real-world Examples:

10 Gigabits per day

• Base 10:
  • Total bits = 10 * 1,000,000,000 = 10,000,000,000 bits.
  • $\text{bps} = \frac{10,000,000,000}{86,400} \approx 115,740 \text{ bps}$
• Base 2:
  • Total bits = 10 * 1,073,741,824 = 10,737,418,240 bits.
  • $\text{bps} = \frac{10,737,418,240}{86,400} \approx 124,220 \text{ bps}$

100 Gigabits per day

• Base 10:
  • Total bits = 100 * 1,000,000,000 = 100,000,000,000 bits.
  • $\text{bps} = \frac{100,000,000,000}{86,400} \approx 1,157,407 \text{ bps}$
• Base 2:
  • Total bits = 100 * 1,073,741,824 = 107,374,182,400 bits.
  • $\text{bps} = \frac{107,374,182,400}{86,400} \approx 1,242,200 \text{ bps}$

1 Terabit per day

• Base 10:
  • Total bits = 1 Terabit = 1,000,000,000,000 bits.
  • $\text{bps} = \frac{1,000,000,000,000}{86,400} \approx 11,574,074 \text{ bps}$
• Base 2:
  • Total bits = 1 Tebibit (1 Tbit in base 2) = 2^40 bits = 1,099,511,627,776 bits.
  • $\text{bps} = \frac{1,099,511,627,776}{86,400} \approx 12,422,200 \text{ bps}$

These calculations show you the method for converting Gigabits per day to bits per second in both the decimal (base 10) and binary (base 2) systems.