Suppose you want to convert a vinyl recording of the Sgt. Pepper\'s album by The

Question

Suppose you want to convert a vinyl recording of the Sgt. Pepper's album by The Beatles to compact disc. The duration of this album is 39:52 (minutes:seconds). Your conversion software will sample the record at a rate of 44.10 kHz with a bit depth of 16 (so each sample will be 2 bytes in size). Your copy of this record is from the first pressing in 1967 so it was recorded in mono as opposed to stereo. Mono means that when the record is played, the left and right speakers produce the same sound wave. There is only one channel in mono recordings. a) What will the size of the resulting file be on the CD? b) You notice that you can download an MP3 file of this album. Its size is 91 MB. Is it correct to refer to MP3 as a "lossless format," as it sometimes is?

Explanation / Answer

Let us try to find out the size of the resulting file,

39 min and 52 seconds= 2392 s seconds for data

(16 bits/sample)*88.200*(2 channels)*(2392 s) = 6751.18 Mb

Note that 120 Mb = 15 MB

Now if we do a straight conversion of 44.10kHz = 44.10 kb/s then we can find the total number of bits stored on the LP:

44.10 kb/s x 2392 s = 105.4872 Mb

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