Megabytes per day to bits per hour conversion

How to convert megabytes per day to bits per hour?

To convert 1 Megabyte per day to bits per hour, you'll need to consider the number of bytes in a Megabyte and then convert to bits. Here's the step-by-step process for both the base 10 (SI units) and base 2 (binary) conventions:

Base 10 (SI Units)

1. Kilobytes and Megabytes Conversion:

   • 1 Megabyte (MB) = 1,000 Kilobytes (KB)
   • 1 Kilobyte (KB) = 1,000 Bytes
   • 1 Byte = 8 bits

2. Total bits in 1 Megabyte: $1 \text{ MB} = 1,000 \times 1,000 \times 8 = 8,000,000 \text{ bits}$

3. Total bits per day: $1 \text{ MB/day} = 8,000,000 \text{ bits/day}$

4. Convert to bits per hour: $1 \text{ day} = 24 \text{ hours}$ $\text{Bits per hour} = \frac{8,000,000 \text{ bits}}{24 \text{ hours}} = 333,333.\overline{3} \text{ bits/hour}$

Base 2 (Binary Units)

1. Kilobytes and Megabytes Conversion:

   • 1 Megabyte (MB, MiB in base 2) = 1,024 * 1,024 Bytes = 1,048,576 Bytes
   • 1 Byte = 8 bits

2. Total bits in 1 Megabyte: $1 \text{ MiB} = 1,048,576 \times 8 = 8,388,608 \text{ bits}$

3. Total bits per day: $1 \text{ MiB/day} = 8,388,608 \text{ bits/day}$

4. Convert to bits per hour: $1 \text{ day} = 24 \text{ hours}$ $\text{Bits per hour} = \frac{8,388,608 \text{ bits}}{24 \text{ hours}} = 349,025.\overline{3} \text{ bits/hour}$

Real World Examples for Other Quantities

10 Megabytes per day:

• Base 10: $10 \text{ MB/day} \times 333,333.\overline{3} \frac{\text{bits}}{\text{hour}} = 3,333,333.\overline{3} \text{ bits/hour}$
• Base 2: $10 \text{ MiB/day} \times 349,025.\overline{3} \frac{\text{bits}}{\text{hour}} = 3,490,253.\overline{3} \text{ bits/hour}$

50 Megabytes per day:

• Base 10: $50 \text{ MB/day} \times 333,333.\overline{3} \frac{\text{bits}}{\text{hour}} = 16,666,666.\overline{7} \text{ bits/hour}$
• Base 2: $50 \text{ MiB/day} \times 349,025.\overline{3} \frac{\text{bits}}{\text{hour}} = 17,451,266.\overline{7} \text{ bits/hour}$

100 Megabytes per day:

• Base 10: $100 \text{ MB/day} \times 333,333.\overline{3} \frac{\text{bits}}{\text{hour}} = 33,333,333.\overline{3} \text{ bits/hour}$
• Base 2: $100 \text{ MiB/day} \times 349,025.\overline{3} \frac{\text{bits}}{\text{hour}} = 34,902,533.\overline{3} \text{ bits/hour}$

These conversions and examples should help illustrate how to convert and contextualize values in Megabytes per day to bits per hour using both base 10 and base 2 systems.