Question Bank - ICT

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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

Solution:

The correct answer is option 3. Frequency = 44. 1k Hz = 44100 bits per second, Compression ratio=0. 5This is a stereo audio signal, it will need 2 channels. 16 bits used for quantized(converting to MP3)Bit Rate = number channels × bits × frequency = 2 × 16 × 44100 = 1411200 bpsCompressed Bit Rate = 0. 5 × 1411200 = 705600 bpsFor 10 seconds,Bit rate=10 × 705600 bits = 7056000 bits= 882000 Bytes(7056000/8)= 882 KB (882000/1000)? Hence the correct answer is 860 KB.

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