230 bytes and 250 bytes are respectively equal to ……… and ……… .
2022
230 bytes and 250 bytes are respectively equal to ……… and ……… .
- A.
1 Megabyte, 1 Terabyte
- B.
1 Gigabyte, 1 Petabyte
- C.
1 Exabyte, 1 Zettabyte
- D.
1 Terabyte, 1 Yottabyte
Attempted by 129 students.
Show answer & explanation
Correct answer: B
Under the binary-prefix convention used for computer memory/storage, each unit is 210 (1024) times the previous one: 1 KB = 210 bytes, 1 MB = 220 bytes, 1 GB = 230 bytes, 1 TB = 240 bytes, 1 PB = 250 bytes, 1 EB = 260 bytes, 1 ZB = 270 bytes, and 1 YB = 280 bytes.
230 = (210)3 = 10243 bytes, which the convention defines as 1 Gigabyte (GB).
250 = (210)5 = 10245 bytes, which the convention defines as 1 Petabyte (PB).
Cross-check by magnitude: 230 = 1,073,741,824 bytes (≈1.07 × 109 bytes), matching the ~109-byte scale associated with a gigabyte; 250 = 230 × 220 ≈ 1.126 × 1015 bytes, matching the ~1015-byte scale associated with a petabyte. This is also confirmed by the official HTET 2022 Computer Science final answer key.
Hence 230 bytes = 1 Gigabyte and 250 bytes = 1 Petabyte.