bits per minute to Gibibytes per day conversion

How to convert bits per minute to gibibytes per day?

To convert bits per minute to Gibibytes per day, you need to follow these steps:

Conversion Process:

1. Convert bits per minute to bits per day:

   • There are 60 minutes in an hour and 24 hours in a day.
   • So, 1 bit per minute is $1 \times 60 \times 24 = 1440$ bits per day.

2. Convert bits per day to Gibibytes per day:

   • There are different units of data measurement: using either base 10 (decimal) or base 2 (binary).

   Base 10 (Decimal):

   • 1 Gibibyte (GiB) = 1,073,741,824 bytes.
   • 1 byte = 8 bits.
   • So, 1 Gibibyte (GiB) = $1,073,741,824 \times 8 = 8,589,934,592$ bits.

   Base 2 (Binary):

   • 1 Gibibyte (GiB) = 2^30 bytes = 1,073,741,824 bytes.
   • As before, 1 byte = 8 bits.
   • So, 1 Gibibyte (GiB) = 2^30 $\times$ 8 = 2^33 = 8,589,934,592 bits.

Now, let's convert the bits per day to Gibibytes per day.

Base 10 (Decimal) Conversion:

$\text{Gibibytes per day} = \frac{1440 \text{ bits per day}}{8,589,934,592 \text{ bits per GiB}}$

$\text{Gibibytes per day (decimal)} = 1.676 \times 10^{-7}$

Base 2 (Binary) Conversion:

$\text{Gibibytes per day} = \frac{1440 \text{ bits per day}}{2^33 \text{ bits per GiB}}$

$\text{Gibibytes per day (binary)} = 1.676 \times 10^{-7}$

In both cases, the conversion factor results in the same value because the definitions of Gibibyte are consistent.

Real World Examples:

• Low-Speed IoT Devices:

  • Many IoT devices (e.g., smart sensors) transmit data at very low rates, sometimes in the order of bits per minute. For instance, a temperature sensor sending a single reading every minute.

• Heart-rate Monitors:

  • Some heart-rate monitors send data to a central server intermittently, resulting in low bit rates close to the given example.

• Environmental Sensors:

  • In applications like smart agriculture, devices might send minimal data to conserve battery, often operating around a few bits per minute.

When considering higher quantities:

10 bits per minute:

$10 \times 1440 \text{ bits per day} = 14,400 \text{ bits per day}$

$\text{Gibibytes per day} = \frac{14,400 \text{ bits per day}}{8,589,934,592} \approx 1.676 \times 10^{-6}$

1,000 bits per minute:

$1,000 \times 1440 \text{ bits per day} = 1,440,000 \text{ bits per day}$

$\text{Gibibytes per day} = \frac{1,440,000 \text{ bits per day}}{8,589,934,592} \approx 1.676 \times 10^{-4}$

1,000,000 bits per minute (1 megabit per minute):

$1,000,000 \times 1440 \text{ bits per day} = 1,440,000,000 \text{ bits per day}$

$\text{Gibibytes per day} = \frac{1,440,000,000 \text{ bits per day}}{8,589,934,592} \approx 0.1676 \text{ GiB}$

Therefore, the conversions show that even with relatively low bit rates like 1 bit per minute, translating it to Gibibytes per day yields minuscule amounts, which demonstrates the vast difference in magnitude between bits and Gibibytes.