Bytes per hour to Gigabits per second conversion

How to convert bytes per hour to gigabits per second?

To convert from Bytes per hour to Gigabits per second, you need to follow a series of conversion steps. Let's break this down:

1. Bytes to Bits: Since 1 Byte = 8 bits,
2. Hours to Seconds: Since 1 hour = 3600 seconds,
3. Bits to Gigabits (Gb): 1 Gigabit = 10^9 bits (base 10) or 2^30 bits (base 2).

Base 10 Conversion:

1. Convert Bytes to Bits: $1 \text{ Byte/hour} = 1 \times 8 \text{ bits/hour} = 8 \text{ bits/hour}$

2. Convert bits/hour to bits/second: $8 \text{ bits/hour} \div 3600 \text{ seconds/hour} = \frac{8}{3600} \text{ bits/second} = 0.002222 \text{ bits/second}$

3. Convert bits/second to Gigabits/second (Gbps): $\frac{0.002222 \text{ bits/second}}{10^9 \text{ bits/Gb}} = 2.222 \times 10^{-12} \text{ Gbps}$

Base 2 Conversion:

1. Convert Bytes to Bits: $1 \text{ Byte/hour} = 1 \times 8 \text{ bits/hour} = 8 \text{ bits/hour}$

2. Convert bits/hour to bits/second: $8 \text{ bits/hour} \div 3600 \text{ seconds/hour} = \frac{8}{3600} \text{ bits/second} = 0.002222 \text{ bits/second}$

3. Convert bits/second to Gibibits/second (Gibps): $\frac{0.002222 \text{ bits/second}}{2^{30} \text{ bits/Gib}} = \frac{0.002222}{1073741824} \text{ Gibps} = 2.068 \times 10^{-12} \text{ Gibps}$

Real World Examples:

Let's take other quantities of Bytes per hour and convert them similarly.

Example 1: 1 MB (Megabyte) per hour to Gbps

1 MB = $1 \times 10^6$ bytes (base 10).

Base 10:

• Bits: $1 \times 10^6 \times 8 = 8 \times 10^6$ bits/hour
• Bits per second: $\frac{8 \times 10^6}{3600} = 2222.2$ bits/second
• Gbps: $\frac{2222.2}{10^9} = 2.2222 \times 10^{-6} \text{ Gbps}$

Base 2:

• Bits: $1 \times 2^{20} \times 8 = 8388608$ bits/hour
• Bits per second: $\frac{8388608}{3600} = 2330.8$ bits/second
• Gibps: $\frac{2330.8}{2^{30}} = 2.168 \times 10^{-6} \text{ Gibps}$

Example 2: 1 GB (Gigabyte) per hour to Gbps

1 GB = $1 \times 10^9$ bytes (base 10).

Base 10:

• Bits: $1 \times 10^9 \times 8 = 8 \times 10^9$ bits/hour
• Bits per second: $\frac{8 \times 10^9}{3600} = 2.222 \times 10^6$ bits/second
• Gbps: $\frac{2.222 \times 10^6}{10^9} = 2.222 \times 10^{-3} \text{ Gbps}$

Base 2:

• Bits: $1 \times 2^{30} \times 8 = 8 \times 2^{30}$ bits/hour
• Bits per second: $\frac{8 \times 2^{30}}{3600} = 2.388 \times 10^6$ bits/second
• Gibps: $\frac{2.388 \times 10^6}{2^{30}} = 2.222 \times 10^{-3} \text{ Gibps}$

These conversions can help contextualize data transfer rates observed in practical scenarios such as network speeds or bandwidth usage.