Consider an uncompressed stereo audio signal of CD quality which is sampled at…
2015
Consider an uncompressed stereo audio signal of CD quality which is sampled at 44.1 kHz and quantized using 16 bits. What is required storage space if a compression ratio of 0.5 is achieved for 10 seconds of this audio?
- A.
172 KB
- B.
430 KB
- C.
860 KB
- D.
1720 KB
Attempted by 61 students.
Show answer & explanation
Correct answer: C
First, calculate the total bits for the uncompressed audio: 44,100 samples/sec × 16 bits/sample × 2 channels × 10 seconds = 14,112,000 bits. Convert to bytes by dividing by 8: 14,112,000 / 8 = 1,764,000 bytes. Apply the compression ratio of 0.5: 1,764,000 × 0.5 = 882,000 bytes. Finally, convert to kilobytes (1 KB = 1024 bytes): 882,000 / 1024 ≈ 860 KB.