Explanation:

To determine the equivalent of $1 \text{ Terabyte (TB)}$, we refer to the standard binary-based hierarchy of digital storage units. The conversions are as follows: $1 \text{ Kilobyte (KB)} = 1024 \text{ bytes}$. $1 \text{ Megabyte (MB)} = 1024 \text{ KB}$. $1 \text{ Gigabyte (GB)} = 1024 \text{ MB}$. $1 \text{ Terabyte (TB)} = 1024 \text{ GB}$. $1 \text{ Petabyte (PB)} = 1024 \text{ TB}$. Based on this hierarchy, $1 \text{ Terabyte}$ is precisely equal to $1024 \text{ Gigabytes}$. Let's check the options: (a) $1024 \text{ PB}$ is incorrect; $1 \text{ TB}$ is much smaller than $1 \text{ PB}$. (b) $1024 \text{ KB}$ is incorrect; $1024 \text{ KB}$ equals $1 \text{ MB}$, which is far too small. (c) $1024 \text{ MB}$ is incorrect; $1024 \text{ MB}$ equals $1 \text{ GB}$, also far too small. (d) $1024 \text{ GB}$ is the correct conversion. Therefore, $1 \text{ terabyte}$ is equal to (d) $1024 \text{ GB}$.