Megabits per day to Gibibits per day conversion

How to convert megabits per day to gibibits per day?

Sure, let's start by converting 1 Megabit per day to Gibibits per day.

1 Megabit per day can be converted to Gibibits per day using the following steps:

Base 10 (Decimal System)

In the decimal system, the prefixes are based on powers of 10:

• 1 Megabit (Mb) = $10^6$ bits
• 1 Gigabit (Gb) = $10^9$ bits

First, convert 1 Megabit to Gigabits: $1 \text{ Megabit} = 1 \times 10^6 \text{ bits}$ Then convert bits to Gigabits: $1 \times 10^6 \text{ bits} = \frac{1 \times 10^6}{10^9} \text{ Gigabits}$ $= 10^{-3} \text{ Gigabits}$ $= 0.001 \text{ Gigabits/day}$

Since Gibibits are not typically used in the decimal system, we conclude the base 10 with Gigabits.

Base 2 (Binary System)

In the binary system, the prefixes are based on powers of 2:

• 1 Megabit (Mb) = $2^{20}$ bits
• 1 Gibibit (Gib) = $2^{30}$ bits

To convert 1 Megabit to Gibibits: Convert Megabits to bits: $1 \text{ Megabit} = 2^{20} \text{ bits}$ Then convert bits to Gibibits: $2^{20} \text{ bits} = \frac{2^{20}}{2^{30}} \text{ Gibibits}$ $= 2^{-10} \text{ Gibibits}$ $= \frac{1}{2^{10}} \text{ Gibibits}$ $= \frac{1}{1024}$ $≈ 0.0009765625 \text{ Gibibits/day}$

Real-World Examples:

Examples with Megabits per Day (base 10):

• 10 Megabits/day to Gigabits/day: $10 \text{ Megabits/day} \times 0.001 \text{ Gigabits/Megabit}$ $= 0.01 \text{ Gigabits/day}$

• 100 Megabits/day to Gigabits/day: $100 \text{ Megabits/day} \times 0.001 \text{ Gigabits/Megabit}$ $= 0.1 \text{ Gigabits/day}$

• 500 Megabits/day to Gigabits/day: $500 \text{ Megabits/day} \times 0.001 \text{ Gigabits/Megabit}$ $= 0.5 \text{ Gigabits/day}$

Examples with Megabits per Day (base 2):

• 10 Megabits/day to Gibibits/day: $10 \text{ Megabits/day} \times 0.0009765625 \text{ Gibibits/Megabit}$ $≈ 0.009765625 \text{ Gibibits/day}$

• 100 Megabits/day to Gibibits/day: $100 \text{ Megabits/day} \times 0.0009765625 \text{ Gibibits/Megabit}$ $≈ 0.09765625 \text{ Gibibits/day}$

• 500 Megabits/day to Gibibits/day: $500 \text{ Megabits/day} \times 0.0009765625 \text{ Gibibits/Megabit}$ $≈ 0.48828125 \text{ Gibibits/day}$

So, whether using the base 10 or base 2 approach, we understand how to convert Megabits/day to either Gigabits/day or Gibibits/day and see how it applies to real-world data transfer quantities.