bits per month to Gigabytes per month conversion

How to convert bits per month to gigabytes per month?

Certainly! To convert from bits per month to gigabytes per month, you need to understand the different units involved and the conversion factors.

Conversion Factors:

1 gigabyte (GB) in base 10 (decimal) is $10^9$ bytes. 1 gigabyte (GiB) in base 2 (binary) is $2^{30}$ bytes or 1,073,741,824 bytes. 1 byte is 8 bits.

First, let's convert bits per month to bytes per month because the conversion to gigabytes will then be straightforward.

Step 1: Convert Bits per Month to Bytes per Month

$\text{bytes per month} = \frac{\text{bits per month}}{8}$

Step 2: Convert Bytes per Month to Gigabytes per Month

For base 10 (decimal): $\text{gigabytes per month (decimal)} = \frac{\text{bytes per month}}{10^9} = \frac{\text{bits per month} / 8}{10^9} = \frac{\text{bits per month}}{8 \times 10^9}$

For base 2 (binary): $\text{gigabytes per month (binary)} = \frac{\text{bytes per month}}{2^{30}} = \frac{\text{bits per month} / 8}{1,073,741,824} = \frac{\text{bits per month}}{8 \times 1,073,741,824}$

Calculation for 1 Bit per Month:

Decimal (Base 10)

$\text{gigabytes per month (decimal)} = \frac{1}{8 \times 10^9}$ $\text{gigabytes per month (decimal)} = \frac{1}{8,000,000,000}$ $\text{gigabytes per month (decimal)} \approx 1.25 \times 10^{-10}$

Binary (Base 2)

$\text{gigabytes per month (binary)} = \frac{1}{8 \times 1,073,741,824}$ $\text{gigabytes per month (binary)} = \frac{1}{8,589,934,592}$ $\text{gigabytes per month (binary)} \approx 1.16 \times 10^{-10}$

Real World Examples

Example 1: 1,000 Bits per Month

Base 10: $\text{gigabytes per month (decimal)} = \frac{1000}{8 \times 10^9} \approx 1.25 \times 10^{-7}$

Base 2: $\text{gigabytes per month (binary)} = \frac{1000}{8 \times 1,073,741,824} \approx 1.16 \times 10^{-7}$

Example 2: 1,000,000 Bits per Month (1 Megabit per Month)

Base 10: $\text{gigabytes per month (decimal)} = \frac{1,000,000}{8 \times 10^9} = 0.000125$

Base 2: $\text{gigabytes per month (binary)} = \frac{1,000,000}{8 \times 1,073,741,824} \approx 0.000116$

Example 3: 1,000,000,000 Bits per Month (1 Gigabit per Month)

Base 10: $\text{gigabytes per month (decimal)} = \frac{1,000,000,000}{8 \times 10^9} = 0.125$

Base 2: $\text{gigabytes per month (binary)} = \frac{1,000,000,000}{8 \times 1,073,741,824} \approx 0.116$

These examples show how you can convert different quantities of bits per month into gigabytes per month using both base 10 and base 2 units.