bits per hour to Gibibits per second conversion

How to convert bits per hour to gibibits per second?

To convert bits per hour (b/hr) to Gibibits per second (Gibibits/s), you need to perform a series of unit conversions.

A Gibibit is defined using binary (base 2) measurements: 1 Gibibit (Gib) = 2^30 bits = 1,073,741,824 bits in base 2.

Considering there are:

• 60 seconds in a minute,
• 60 minutes in an hour, Thus, there are $60 \times 60 = 3600$ seconds in an hour.

Conversion from bits per hour to Gibibits per second (base 2):

1. Start with 1 bit per hour (1 b/hr).
2. Convert hours to seconds: $1 \text{ bit per hour} = \frac{1 \text{ bit}}{3600 \text{ seconds}}$
3. Convert bits to Gibibits: $\frac{1 \text{ bit}}{3600 \text{ seconds}} \times \frac{1 \text{ Gibibit}}{1,073,741,824 \text{ bits}} = \frac{1}{3600 \times 1,073,741,824} \text{ Gibibits per second}$
4. Simplify the fraction: $\frac{1}{3,864,870,566,400} \text{ Gibibits per second}$

So, $1 \text{ b/hr} = 2.582 \times 10^{-13} \text{ Gibibits per second}$.

Conversion from bits per hour to Gigabits per second (base 10):

1. Start with 1 bit per hour (1 b/hr).
2. Convert hours to seconds: $1 \text{ bit per hour} = \frac{1 \text{ bit}}{3600 \text{ seconds}}$
3. Convert bits to Gigabits: $\frac{1 \text{ bit}}{3600 \text{ seconds}} \times \frac{1 \text{ Gigabit}}{1,000,000,000 \text{ bits}} = \frac{1}{3600 \times 1,000,000,000} \text{ Gigabits per second}$
4. Simplify the fraction: $\frac{1}{3.6 \times 10^{12}} \text{ Gigabits per second}$ $\frac{1}{3.6 \times 10^{12}} \approx 2.778 \times 10^{-13} \text{ Gigabits per second}$

So, $1 \text{ b/hr} = 2.778 \times 10^{-13} \text{ Gigabits per second}$.

Real World Examples:

1. Data Transfer Rate of a Modern Internet Connection:

   • Suppose you have an Internet connection with a speed of 100 Megabits per second (Mbps). To find out how much data is transferred per hour: $100 \text{ Mbps} = 100 \times 10^6 \text{ bits per second}$ $= 100 \times 10^6 \text{ bits/second} \times 3600 \text{ seconds/hour}$ $= 360 \times 10^9 \text{ bits per hour or 360 Gigabits per hour}$

2. Streaming Video:

   • A 4K video stream may require around 25 Mbps: $25 \text{ Mbps} = 25 \times 10^6 \text{ bits per second}$ $= 25 \times 10^6 \text{ bits/second} \times 3600 \text{ seconds/hour}$ $= 90,000 \times 10^6 \text{ bits per hour or 90 Gigabits per hour}$

3. Data Transferred via USB Drive:

   • If you are transferring files at a speed of 480 Mbps (USB 2.0 speed): $480 \text{ Mbps} = 480 \times 10^6 \text{ bits per second}$ $= 480 \times 10^6 \text{ bits/second} \times 3600 \text{ seconds/hour}$ $= 1,728,000,000,000 \text{ bits per hour or 1.728 Terabits per hour}$