Bytes per hour to Gigabits per day conversion

How to convert bytes per hour to gigabits per day?

To convert 1 Byte per hour to Gigabits per day, you need to perform a sequence of unit conversions. The process involves first converting the rate from hours to seconds, then from Bytes to bits, and finally from bits to Gigabits. We'll consider both base 10 (decimal) and base 2 (binary) calculations.

Base 10 (Decimal)

1. Convert from hours to days: There are 24 hours in a day. $1 \text{ Byte per hour} = 1 \text{ Byte} \times 24 \text{ hours/day} = 24 \text{ Bytes per day}$

2. Convert Bytes to bits: There are 8 bits in a Byte. $24 \text{ Bytes per day} = 24 \text{ Bytes/day} \times 8 \text{ bits/Byte} = 192 \text{ bits per day}$

3. Convert bits to Gigabits: In base 10, 1 Gigabit is $10^9$ bits. $192 \text{ bits per day} = \frac{192 \text{ bits}}{10^9 \text{ bits/Gigabit}} = 1.92 \times 10^{-7} \text{ Gigabits per day}$

Base 2 (Binary)

1. Convert from hours to days: As before, there are 24 hours in a day. $1 \text{ Byte per hour} = 1 \text{ Byte} \times 24 \text{ hours/day} = 24 \text{ Bytes per day}$

2. Convert Bytes to bits: There are 8 bits in a Byte. $24 \text{ Bytes per day} = 24 \text{ Bytes/day} \times 8 \text{ bits/Byte} = 192 \text{ bits per day}$

3. Convert bits to Gigabits: In base 2, 1 Gibibit is $2^{30}$ bits (which is approximately $1.073741824 \times 10^9$ bits, but for easing the conversion we'll use the exact value). $192 \text{ bits per day} = \frac{192 \text{ bits}}{2^{30} \text{ bits/Gibibit}} \approx \frac{192 \text{ bits}}{1.073741824 \times 10^9 \text{ bits/Gibibit}} \approx 1.79 \times 10^{-7} \text{ Gibibits per day}$

Real World Examples for Other Quantities of Bytes per Hour

Example 1: 100 Bytes per hour

1. Convert from hours to days: $100 \text{ Bytes per hour} \times 24 \text{ hours/day} = 2400 \text{ Bytes per day}$

2. Bytes to bits: $2400 \text{ Bytes} \times 8 \text{ bits/Byte} = 19200 \text{ bits per day}$

3. Bits to Gigabits (base 10): $\frac{19200 \text{ bits}}{10^9 \text{ bits/Gigabit}} = 1.92 \times 10^{-5} \text{ Gigabits per day}$

4. Bits to Gibibits (base 2): $\frac{19200 \text{ bits}}{2^{30} \approx 1.073741824 \times 10^9 \text{ bits/Gibibit}} \approx 1.79 \times 10^{-5} \text{ Gibibits per day}$

Example 2: 1 Megabyte per hour (MB/h)

1. Convert from hours to days: $1 \text{ MB per hour} \times 24 \text{ hours/day} = 24 \text{ MB per day}$

2. MB to bits: $24 \text{ MB} \times 8 \times 10^6 \text{ bits/MB} = 192 \times 10^6 \text{ bits per day}$

3. Bits to Gigabits (base 10): $\frac{192 \times 10^6 \text{ bits}}{10^9 \text{ bits/Gigabit}} = 0.192 \text{ Gigabits per day}$

4. Bits to Gibibits (base 2): $\frac{192 \times 10^6 \text{ bits}}{2^{30} \approx 1.073741824 \times 10^9 \text{ bits/Gibibit}} \approx 0.179 \text{ Gibibits per day}$

This is how you can convert Bytes per hour to Gigabits per day and understand the variations in base 10 and base 2 units.