Gigabits per hour to bits per day conversion

How to convert gigabits per hour to bits per day?

Sure, let's break this down step by step. We'll start with the conversion of 1 Gigabit per hour (Gb/hr) to bits per day (bits/day).

Understanding the Units:

1 Gigabit = $10^9$ bits (base 10) or 1 Gigabit = $2^{30}$ bits (base 2).

Converting Hours to Days:

1 day = 24 hours.

Base 10 Calculation:

1. Gigabits per hour to bits per hour: $1 \text{ Gb/hr} = 1 \times 10^9 \text{ bits/hr}$.

2. Bits per hour to bits per day: $1 \text{ Gb/hr} = 10^9 \text{ bits/hr} \times 24 \text{ hr/day} = 24 \times 10^9 \text{ bits/day}.$

Base 2 Calculation:

1. Gigabits per hour to bits per hour: $1 \text{ Gb/hr} = 2^{30} \text{ bits/hr}$.

2. Bits per hour to bits per day: $1 \text{ Gb/hr} = 2^{30} \text{ bits/hr} \times 24 \text{ hr/day} = 24 \times 2^{30} \text{ bits/day}.$ Note that $24 \times 2^{30} \text{ bits/day} \approx 25.8 \times 2^{30} \text{ bits/day}$.

Practical Examples:

Let's consider some other quantities of Gigabits per hour and convert them to bits per day.

Example 1: 5 Gigabits per hour

• Base 10: $5 \text{ Gb/hr} = 5 \times 10^9 \text{ bits/hr} \times 24 \text{ hr/day} = 120 \times 10^9 \text{ bits/day}.$

• Base 2: $5 \text{ Gb/hr} = 5 \times 2^{30} \text{ bits/hr} \times 24 \text{ hr/day} = 120 \times 2^{30} \text{ bits/day}.$

Example 2: 0.2 Gigabits per hour

• Base 10: $0.2 \text{ Gb/hr} = 0.2 \times 10^9 \text{ bits/hr} \times 24 \text{ hr/day} = 4.8 \times 10^9 \text{ bits/day}.$

• Base 2: $0.2 \text{ Gb/hr} = 0.2 \times 2^{30} \text{ bits/hr} \times 24 \text{ hr/day} = 4.8 \times 2^{30} \text{ bits/day}.$

Real-World Examples:

• High-Speed Internet: A high-speed internet connection might operate at a rate of 1 Gb/hr. Over a day, in base 10, it transfers 24 billion bits of data, equivalent to 3 gigabytes (since $1 \text{ GB} = 8 \times 10^9 \text{ bits}$).

• Data Centers: A data center might have multiple servers each capable of transferring data at 10 Gb/hr. This means each server can transfer 240 billion bits/day, or 30 GB/day (base 10).

This should help you understand how to perform these conversions and provide you a sense of the scale involved.