A network administrator needs to back up 32 system log files. Each individual log file has a size of exactly 8 GiB8\text{ GiB}8 GiB (1 GiB=230 bytes1\text{ GiB} = 2^{30}\text{ bytes}1 GiB=230 bytes). The backup storage media has a marked capacity of exactly 270 GB270\text{ GB}270 GB (1 GB=109 bytes1\text{ GB} = 10^9\text{ bytes}1 GB=109 bytes).
Identify the statement that correctly describes the outcome of this backup attempt.
The backup will succeed because the total file size is 256 GiB256\text{ GiB}256 GiB, which is numerically less than the drive capacity of 270 GB270\text{ GB}270 GB, leaving approximately 14 GB14\text{ GB}14 GB of free space.
The backup will succeed because 256 GiB256\text{ GiB}256 GiB is equivalent to approximately 238.42 GB238.42\text{ GB}238.42 GB (calculated by dividing 256256256 by 1.07371.07371.0737), which easily fits on the 270 GB270\text{ GB}270 GB drive.
The backup will fail because 256 GiB256\text{ GiB}256 GiB is equivalent to 2382^{38}238 bytes, which is approximately 274.88 GB274.88\text{ GB}274.88 GB, thus exceeding the drive's capacity by approximately 4.88 GB4.88\text{ GB}4.88 GB.
The backup will succeed because the 270 GB270\text{ GB}270 GB drive is equivalent to approximately 289.91 GiB289.91\text{ GiB}289.91 GiB (calculated by multiplying 270270270 by 1.07371.07371.0737), which is more than enough to store 256 GiB256\text{ GiB}256 GiB.
Practise OCR GCSE Computer Science Data storage with exam-style questions for GCSE Computer Science. 42 questions, matched to the OCR GCSE Computer Science (J277) specification and written in Component 01 and Component 02 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.