Megabits per hour to Bytes per second conversion

How to convert megabits per hour to bytes per second?

Sure, to convert from Megabits per hour (Mbps) to Bytes per second (Bps), you need to take into account both the conversion from megabits to bits and from hours to seconds, as well as the conversion from bits to bytes. Let's break it down step by step.

Base 10 (Decimal) Conversion

In the decimal (base 10) system:

1. 1 Megabit (Mb) = 1,000,000 bits
2. 1 hour = 3,600 seconds (60 minutes/hour * 60 seconds/minute)
3. 1 Byte (B) = 8 bits

To convert 1 Megabit per hour (Mbps) to Bytes per second (Bps):

1. Start with the Megabits per hour value: $1 \text{ Mb/hour}$

2. Convert Megabits to bits: $1 \text{ Mb} \times 1,000,000 \text{ bits/Mb} = 1,000,000 \text{ bits}$

3. Convert hours to seconds: $1 \text{ hour} = 3,600 \text{ seconds}$

4. Divide bits by seconds to get bits per second: $1,000,000 \text{ bits} \div 3,600 \text{ seconds} \approx 277.78 \text{ bits/second}$

5. Convert bits per second to Bytes per second: $277.78 \text{ bits/second} \div 8 \text{ bits/byte} \approx 34.72 \text{ Bytes/second}$

So, in base 10, $1 \text{ Megabit/hour} \approx 34.72 \text{ Bytes/second}$

Base 2 (Binary) Conversion

In the binary (base 2) system:

1. 1 Mebibit (Mib) = 1,048,576 bits (2^20 bits)
2. 1 hour = 3,600 seconds (unchanged from base 10)
3. 1 Byte (B) = 8 bits (unchanged from base 10)

To convert 1 Mebibit per hour (Mibps) to Bytes per second (Bps):

1. Start with the Mebibits per hour value: $1 \text{ Mib/hour}$

2. Convert Mebibits to bits: $1 \text{ Mib} \times 1,048,576 \text{ bits/Mib} = 1,048,576 \text{ bits}$

3. Convert hours to seconds: $1 \text{ hour} = 3,600 \text{ seconds}$

4. Divide bits by seconds to get bits per second: $1,048,576 \text{ bits} \div 3,600 \text{ seconds} \approx 291.27 \text{ bits/second}$

5. Convert bits per second to Bytes per second: $291.27 \text{ bits/second} \div 8 \text{ bits/byte} \approx 36.41 \text{ Bytes/second}$

So, in base 2, $1 \text{ Mebibit/hour} \approx 36.41 \text{ Bytes/second}$

Real World Examples

To give you an idea of how other quantities of Megabits per hour convert:

Example 1: Streaming a low-quality audio stream

• 128 Kilobits per second (Kbps) is common for low-quality audio:
• Convert to Megabits per hour: $128 \text{ Kbps} \times 1 \text{ hour} \times (1 \text{ Mbps} / 1000 \text{ Kbps}) = 128 \text{ Megabits/hour}$
• Using the base 10 conversion: $128 \text{ Mbps} \approx 34.72 \text{ Bps} \times 128 \approx 4,443.84 \text{ Bytes/second}$
• Using the base 2 conversion: $128 \text{ Mibps} \approx 36.41 \text{ Bps} \times 128 \approx 4664.48 \text{ Bytes/second}$

Example 2: HD video streaming

• 5 Megabits per second (Mbps) is common for HD video:
• Convert to Megabits per hour: $5 \text{ Mbps} \times 1 \text{ hour} = 5 \times 60 \times 60 = 18,000 \text{ Megabits/hour}$
• Using the base 10 conversion: $18000 \text{ Mbps} \approx 34.72 \text{ Bps} \times 18000 \approx 625,376 \text{ Bytes/second}$
• Using the base 2 conversion: $18000 \text{ Mibps} \approx 36.41 \text{ Bps} \times 18000 = 655,380 \text{ Bytes/second}$

These conversions should help you understand how different megabit rates translate into data transferred per second in both decimal and binary terms.