Megabytes per hour to bits per day conversion

How to convert megabytes per hour to bits per day?

To convert 1 Megabyte per hour to bits per day, we'll follow these steps:

1. Convert Megabytes to Bytes (both base 10 and base 2):

   • In base 10 (decimal), 1 Megabyte (MB) = 1,000,000 Bytes (B).
   • In base 2 (binary), 1 Megabyte (MB) = 1,048,576 Bytes (B).

2. Convert Bytes to bits:

   • 1 Byte = 8 bits.

3. Calculate the number of hours in a day:

   • 1 day = 24 hours.

Now, let's perform the conversions:

Base 10 (Decimal):

1. 1 MB/hour = 1,000,000 Bytes/hour.
2. In bits: $1,000,000 \text{ Bytes/hour} \times 8 \text{ bits/Byte} = 8,000,000 \text{ bits/hour}$
3. For a day (24 hours): $8,000,000 \text{ bits/hour} \times 24 \text{ hours/day} = 192,000,000 \text{ bits/day}$

Base 2 (Binary):

1. 1 MB/hour = 1,048,576 Bytes/hour.
2. In bits: $1,048,576 \text{ Bytes/hour} \times 8 \text{ bits/Byte} = 8,388,608 \text{ bits/hour}$
3. For a day (24 hours): $8,388,608 \text{ bits/hour} \times 24 \text{ hours/day} = 201,326,592 \text{ bits/day}$

Summary:

• Base 10 (Decimal): 192,000,000 bits per day.
• Base 2 (Binary): 201,326,592 bits per day.

Real-world Examples:

Here are some real-world scenarios for different quantities of Megabytes per hour:

1. Streaming Music (around 1 MB/hour):

   • Base 10: 192,000,000 bits/day
   • Base 2: 201,326,592 bits/day

2. Streaming Standard Definition Video (~500 MB/hour):

   • Base 10: $500 \text{ MB/hour} \times 8,000,000 \text{ bits/MB} = 4,000,000,000 \text{ bits/hour}$ $4,000,000,000 \text{ bits/hour} \times 24 \text{ hours/day} = 96,000,000,000 \text{ bits/day}$
   • Base 2: $500 \text{ MB/hour} \times 8,388,608 \text{ bits/MB} = 4,194,304,000 \text{ bits/hour}$ $4,194,304,000 \text{ bits/hour} \times 24 \text{ hours/day} = 100,663,184,000 \text{ bits/day}$

3. Downloading HD Video (~1,000 MB/hour):

   • Base 10: $1,000 \text{ MB/hour} \times 8,000,000 \text{ bits/MB} = 8,000,000,000 \text{ bits/hour}$ $8,000,000,000 \text{ bits/hour} \times 24 \text{ hours/day} = 192,000,000,000 \text{ bits/day}$
   • Base 2: $1,000 \text{ MB/hour} \times 8,388,608 \text{ bits/MB} = 8,388,608,000 \text{ bits/hour}$ $8,388,608,000 \text{ bits/hour} \times 24 \text{ hours/day} = 201,326,592,000 \text{ bits/day}$

4. Downloading a Software Update (~10 MB/hour):

   • Base 10: $10 \text{ MB/hour} \times 8,000,000 \text{ bits/MB} = 80,000,000 \text{ bits/hour}$ $80,000,000 \text{ bits/hour} \times 24 \text{ hours/day} = 1,920,000,000 \text{ bits/day}$
   • Base 2: $10 \text{ MB/hour} \times 8,388,608 \text{ bits/MB} = 83,886,080 \text{ bits/hour}$ $83,886,080 \text{ bits/hour} \times 24 \text{ hours/day} = 2,013,265,920 \text{ bits/day}$