Gce Model Questions Vol1 2021 Computer Studies Question 31

Practice objective / multiple choice question 31 from the 2021 Gce Model Questions Vol1 Computer Studies examination.

Gce Model Questions Vol1 2021 Computer Studies Objective / Multiple Choice Medium Difficulty
Question 31 GCE_MODEL_QUESTIONS_VOL1 • 2021 • COMPUTER_STUDIES • objective

A binary file of size \(3{,}456{,}000\) bits consists of alternating runs of 0s and 1s, each run being exactly \(12\) bits long. The file is compressed with run‑length encoding (RLE) that stores each run as a pair \((bit, count)\) where the count is kept in an 8‑bit field. Determine (a) the size of the file after compression (in bits), (b) the compression ratio expressed as a factor (original size ÷ compressed size), and (c) the percentage reduction in storage achieved by the RLE scheme.

Answer Options

A. Compressed size = 2,304,000 bits; compression ratio = 1.50:1 (i.e., 33 % reduction).
B. Compressed size = 3,000,000 bits; compression ratio = 1.15:1 (i.e., 13 % reduction).
Correct Answer C. Compressed size = 2,592,000 bits; compression ratio = 1.33:1 (i.e., 25 % reduction).
D. Compressed size = 2,880,000 bits; compression ratio = 1.20:1 (i.e., 20 % reduction).
Correct Answer
C
Correct Option:
Compressed size = 2,592,000 bits; compression ratio = 1.33:1 (i.e., 25 % reduction).

About This Question

This is Gce Model Questions Vol1 2021 Computer Studies Question 31. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Computer Studies examination.

Difficulty level: Medium .

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