Tebibits per hour to Megabytes per minute conversion

How to convert tebibits per hour to megabytes per minute?

To convert Tebibits per hour (Tib/hr) to Megabytes per minute (MB/min), we need to understand binary (base 2) and decimal (base 10) conversion factors.

Binary (Base 2) Conversion

1 Tebibit (Tib) is defined as $2^{40}$ bits. 1 Megabyte (MB) in base 2 is defined as $2^{20}$ bytes (B), and since we need to get back to bytes from bits: 1 byte = 8 bits.

Conversion Steps:

1. Convert Tebibits to bits: $1 \text{ Tib} = 2^{40} \text{ bits}$
2. Convert bits to bytes: $2^{40} \text{ bits} / 8 = 2^{37} \text{ bytes}$
3. Convert bytes to Megabytes (MB): $2^{37} \text{ bytes} / 2^{20} = 2^{17} \text{ MB} = 131072 \text{ MB}$
4. Convert per hour to per minute: $\frac{131072 \text{ MB}}{60} \approx 2184.53 \text{ MB/min}$

So, 1 Tib/hr in base 2 is approximately 2184.53 MB/min.

Decimal (Base 10) Conversion

1 Tebibit (Tib) in base 10 is still $2^{40}$ bits, but 1 Megabyte (MB) in base 10 is $10^6$ bytes.

Conversion Steps:

1. Convert Tebibits to bits: $1 \text{ Tib} = 2^{40} \text{ bits}$
2. Convert bits to bytes: $2^{40} \text{ bits} / 8 = 2^{37} \text{ bytes}$
3. Convert bytes to Megabytes (MB): $\frac{2^{37} \text{ bytes}}{10^6} \approx 137438.953 \text{ MB}$
4. Convert per hour to per minute: $\frac{137438.953 \text{ MB}}{60} \approx 2290.65 \text{ MB/min}$

So, 1 Tib/hr in base 10 is approximately 2290.65 MB/min.

Real World Examples

• 10 Tib/hr:

  • Binary: $10 \text{ Tib/hr} \approx 21845.3 \text{ MB/min}$
  • Decimal: $10 \text{ Tib/hr} \approx 22906.5 \text{ MB/min}$

• 0.5 Tib/hr:

  • Binary: $0.5 \text{ Tib/hr} \approx 1092.27 \text{ MB/min}$
  • Decimal: $0.5 \text{ Tib/hr} \approx 1145.325 \text{ MB/min}$

• 5 Tib/hr:

  • Binary: $5 \text{ Tib/hr} \approx 10922.65 \text{ MB/min}$
  • Decimal: $5 \text{ Tib/hr} \approx 11453.25 \text{ MB/min}$

These examples can help you understand the conversion from Tebibits per hour to Megabytes per minute in both the binary (base 2) and decimal (base 10) systems.