Exabyte Definition Explained

Understanding large data units is crucial in computer science and information technology. Let's break down the value of an Exabyte (EB).

Option 1: Exabyte in Bytes

The first option states that one Exabyte is equal to 10¹⁸ Bytes. This is the standard definition used in the international system of units (SI) for data measurement. So, this statement is correct.

• 1 Exabyte (EB) = $10^{18}$ Bytes

Option 2: Exabyte from Zettabyte

This option suggests that one Exabyte is equivalent to one Zettabyte (ZB) divided by one thousand. Let's check this calculation:

• First, recall the value of a Zettabyte: 1 ZB = $10^{21}$ Bytes.
• Now, perform the division as stated in the option: $$ \frac{1 \text{ Zettabyte}}{1000} = \frac{10^{21} \text{ Bytes}}{10^3} $$
• Using exponent rules ($\frac{a^m}{a^n} = a^{m-n}$): $$ \frac{10^{21}}{10^3} \text{ Bytes} = 10^{(21-3)} \text{ Bytes} = 10^{18} \text{ Bytes} $$

Since $10^{18}$ Bytes is equal to one Exabyte, this statement is also correct.

Option 3: Exabyte from Petabyte

The third option claims that one Exabyte is equal to one PetaByte (PB) multiplied by one thousand. Let's verify this:

• First, know the value of a PetaByte: 1 PB = $10^{15}$ Bytes.
• Now, perform the multiplication as described: $$ 1 \text{ PetaByte} \times 1000 = 10^{15} \text{ Bytes} \times 10^3 $$
• Using exponent rules ($a^m \times a^n = a^{m+n}$): $$ 10^{15} \times 10^3 \text{ Bytes} = 10^{(15+3)} \text{ Bytes} = 10^{18} \text{ Bytes} $$

This calculation also results in $10^{18}$ Bytes, which confirms that this statement is correct as well.

Conclusion: All Options are Correct

As we've shown, all three statements accurately represent the value of one Exabyte:

• 1 EB = $10^{18}$ Bytes
• 1 EB = $\frac{1 \text{ ZB}}{1000}$
• 1 EB = $1 \text{ PB} \times 1000$

Therefore, the option 'All of the above' correctly encompasses all the true statements about an Exabyte.