bits per day to Megabytes per hour conversion

How to convert bits per day to megabytes per hour?

To convert 1 bit per day to Megabytes per hour, you need to follow these steps:

Step-by-Step Conversion:

1. Convert bits per day to bits per hour:

   • There are 24 hours in a day, so to find bits per hour, divide the number of bits per day by 24. $\text{bits per hour} = \frac{\text{bits per day}}{24}$

   For 1 bit per day: $\text{bits per hour} = \frac{1}{24} \approx 0.04167 \text{ bits per hour}$

2. Convert bits per hour to bytes per hour:

   • There are 8 bits in a byte. $\text{bytes per hour} = \frac{\text{bits per hour}}{8}$

   For 0.04167 bits per hour: $\text{bytes per hour} = \frac{0.04167}{8} \approx 0.005208 \text{ bytes per hour}$

3. Convert bytes per hour to Megabytes per hour:

   Base 10 (Decimal System):

   • In base 10, 1 Megabyte = 1,000,000 bytes. $\text{Megabytes per hour (base 10)} = \frac{\text{bytes per hour}}{1,000,000}$

   For 0.005208 bytes per hour: $\text{Megabytes per hour (base 10)} = \frac{0.005208}{1,000,000} \approx 5.208 \times 10^{-9} \text{ Megabytes per hour}$

   Base 2 (Binary System):

   • In base 2, 1 Megabyte = 1,048,576 bytes (2^20). $\text{Megabytes per hour (base 2)} = \frac{\text{bytes per hour}}{1,048,576}$

   For 0.005208 bytes per hour: $\text{Megabytes per hour (base 2)} = \frac{0.005208}{1,048,576} \approx 4.969 \times 10^{-9} \text{ Megabytes per hour}$

Summary:

• Base 10 (Decimal System): $\approx 5.208 \times 10^{-9}$ Megabytes per hour.
• Base 2 (Binary System): $\approx 4.969 \times 10^{-9}$ Megabytes per hour.

Real-World Examples:

• 1000 bits per day:

  • Convert to bits per hour: $\frac{1000}{24} \approx 41.67$ bits per hour.
  • Convert to bytes per hour: $\frac{41.67}{8} \approx 5.21$ bytes per hour.
  • Convert to Megabytes per hour (base 10): $\frac{5.21}{1,000,000} \approx 5.21 \times 10^{-6}$ MB/hour.
  • Convert to Megabytes per hour (base 2): $\frac{5.21}{1,048,576} \approx 4.97 \times 10^{-6}$ MB/hour.

• 1,000,000 bits per day:

  • Convert to bits per hour: $\frac{1,000,000}{24} \approx 41,667$ bits per hour.
  • Convert to bytes per hour: $\frac{41,667}{8} \approx 5208.33$ bytes per hour.
  • Convert to Megabytes per hour (base 10): $\frac{5208.33}{1,000,000} \approx 0.00521$ MB/hour.
  • Convert to Megabytes per hour (base 2): $\frac{5208.33}{1,048,576} \approx 0.00497$ MB/hour.

• 10,000,000 bits per day:

  • Convert to bits per hour: $\frac{10,000,000}{24} \approx 416,667$ bits per hour.
  • Convert to bytes per hour: $\frac{416,667}{8} \approx 52083.33$ bytes per hour.
  • Convert to Megabytes per hour (base 10): $\frac{52083.33}{1,000,000} \approx 0.05208$ MB/hour.
  • Convert to Megabytes per hour (base 2): $\frac{52083.33}{1,048,576} \approx 0.0497$ MB/hour.

These conversions illustrate the volumes of data transferred over different periods and highlight the differences between base 10 and base 2 calculations.