Gigabytes per day to bits per hour conversion

How to convert gigabytes per day to bits per hour?

To convert from gigabytes per day (GB/day) to bits per hour (bph), you'll need to follow a series of steps, calculating the conversion factors for both base 10 (decimal) and base 2 (binary) systems.

Base 10 (Decimal) Conversion

In the decimal system:

• 1 gigabyte (GB) = 1,000,000,000 bytes (B)
• 1 byte (B) = 8 bits (b)

Steps:

1. Convert gigabytes to bytes: $1 \, \text{GB} = 1,000,000,000 \, \text{B}$
2. Convert bytes to bits: $1,000,000,000 \, \text{B} \times 8 \, \text{bits/B} = 8,000,000,000 \, \text{b}$
3. Convert per day to per hour: There are 24 hours in a day. $8,000,000,000 \, \text{b} \, \text{per day} \div 24 \, \text{h/day} = 333,333,333.33 \, \text{bph}$

So, in base 10, $1 \, \text{GB/day} = 333,333,333.33 \, \text{bph}$.

Base 2 (Binary) Conversion

In the binary system:

• 1 gibibyte (GiB) = 2^30 bytes = 1,073,741,824 bytes (B)
• 1 byte (B) = 8 bits (b)

Steps:

1. Convert gibibytes to bytes: $1 \, \text{GiB} = 1,073,741,824 \, \text{B}$
2. Convert bytes to bits: $1,073,741,824 \, \text{B} \times 8 \, \text{bits/B} = 8,589,934,592 \, \text{b}$
3. Convert per day to per hour: There are 24 hours in a day. $8,589,934,592 \, \text{b} \, \text{per day} \div 24 \, \text{h/day} = 357,913,941.33 \, \text{bph}$

So, in base 2, $1 \, \text{GiB/day} = 357,913,941.33 \, \text{bph}$.

Real-World Examples for Other Quantities of Gigabytes per Day

1. 10 Gigabytes per day (Base 10): $10 \, \text{GB/day} = 10 \times 333,333,333.33 \, \text{bph} = 3,333,333,333.3 \, \text{bph}$

2. 5 Gigabytes per day (Base 10): $5 \, \text{GB/day} = 5 \times 333,333,333.33 \, \text{bph} = 1,666,666,666.65 \, \text{bph}$

3. 2 Gibibytes per day (Base 2): $2 \, \text{GiB/day} = 2 \times 357,913,941.33 \, \text{bph} = 715,827,882.66 \, \text{bph}$

4. 0.5 Gibibytes per day (Base 2): $0.5 \, \text{GiB/day} = 0.5 \times 357,913,941.33 \, \text{bph} = 178,956,970.67 \, \text{bph}$

These examples show how varying quantities of data transfer would compare in bits per hour, showcasing how depending on the base used (10 or 2), the numerical results will differ.