Gigabits per day to bits per hour conversion

How to convert gigabits per day to bits per hour?

To convert gigabits per day (Gb/day) to bits per hour (b/h), you need to follow a two-step process:

1. Convert gigabits to bits.
2. Convert days to hours.

Base 10 Conversion

1 gigabit (Gb) in base 10 is equivalent to $10^9$ bits (b).

1 day (d) is equivalent to $24$ hours (h).

So, to find out how many bits there are per hour:

1 Gb/day = $10^9$ bits/day

Now convert days to hours:

$10^9 \, \text{bits/day} \div 24 \, \text{hours/day} = \frac{10^9}{24} \, \text{bits/hour}$

$= 41,666,666.67 \, \text{bits/hour}$

Base 2 Conversion

1 gigabit (GiB) in base 2 is equivalent to $2^{30}$ bits (b).

1 day (d) is equivalent to $24$ hours (h).

So, to find out how many bits there are per hour:

1 GiB/day = $2^{30}$ bits/day

Now convert days to hours:

$2^{30} \, \text{bits/day} \div 24 \, \text{hours/day} = \frac{2^{30}}{24} \, \text{bits/hour}$

$= \frac{1,073,741,824}{24} \, \text{bits/hour}$

$= 44,739,242.67 \, \text{bits/hour}$

Real-World Examples

Below are some examples of different quantities of gigabits per day:

1. 10 Gigabits per day

   • Base 10:
     • $10 \times 10^9 \, \text{bits/day} = 10,000,000,000 \, \text{bits/day}$
     • $10,000,000,000 \div 24 = 416,666,666.67 \, \text{bits/hour}$
   • Base 2:
     • $10 \times 2^{30} = 10,737,418,240 \, \text{bits/day}$
     • $10,737,418,240 \div 24 = 447,392,426.67 \, \text{bits/hour}$

2. 1,000 Gigabits per day

   • Base 10:
     • $1,000 \times 10^9 = 1,000,000,000,000 \, \text{bits/day}$
     • $1,000,000,000,000 \div 24 = 41,666,666,666.67 \, \text{bits/hour}$
   • Base 2:
     • $1,000 \times 2^{30} = 1,073,741,824,000 \, \text{bits/day}$
     • $1,073,741,824,000 \div 24 = 44,739,242,666.67 \, \text{bits/hour}$

3. 500 Gigabits per day (Example for an ISP)

   • Base 10:
     • $500 \times 10^9 = 500,000,000,000 \, \text{bits/day}$
     • $500,000,000,000 \div 24 = 20,833,333,333.33 \, \text{bits/hour}$
   • Base 2:
     • $500 \times 2^{30} = 536,870,912,000 \, \text{bits/day}$
     • $536,870,912,000 \div 24 = 22,369,621,333.33 \, \text{bits/hour}$

Summary

Depending on whether you use base 10 or base 2 for gigabits, converting $1 \, \text{Gb/day}$ results in:

• Base 10: $41,666,666.67 \, \text{bits/hour}$
• Base 2: $44,739,242.67 \, \text{bits/hour}$

These examples can be scaled to any number of gigabits per day to provide corresponding bits per hour using the same procedure.