Question

Shakespeare’s complete works have approximately 3.5 million characters. Which is bigger in file size: Shakespeare’s complete works stored in plain ASCII text or a 4 minute song on mp3? How much bigger?

Answer 1

The size of MP3 depends on the file quality. The MP3 quality can be 128 Kbps or 256 Kbps or it may be at any other rate (320Kbps). The high quality MP3 (256 Kbps) have more size than the lower size MP3 (128 Mbps). Therefore, we cannot say whether 4 minutes MP3 is large or 3.5 million characters since MP3 is totally dependent on MP3 quality.

Further explanation:

Since the MP3 file size is dependent on the quality of the music. A high quality (256 Kbps) MP3 of 4 minutes has the size about 7.68 MB and on the other hand a comparatively low quality (128 Kbps) MP3 of 4 minutes has the size of about 3.84 MB. The size of plain text file is 3.5 MB (using M=10^6, not 2^20). The compression of much higher MP3 file is not commonly used for music.

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Answer details:

Grade: Middle School

Subject: Computer Science

Chapter: Computer basics

Keyword:

MP3, file, quality, 256 Kbps, 128 Kbps, 512 Kbps, 320Kbps, high, low, minutes, ASCII code, music, text, size, Shakespeare, millions, MB, KB

Answer 2

1 character in ASCII plain text occupies 1 byte of data; therefore 3.5 million of characters are 3.5 million of bytes. Since 1024 bytes = 1KB, we can use this equivalence to convert 3.5 million bytes to KB: (3500000 bytes)*(1KB/1024bytes) = 3417.97 KB. Now 1 minute of mp3 at 128 Kbps occupies 960KB, and since our mp3 is 4 minutes in length: 4*960= 3840KB. The difference between the two is 3840KB – 3417.97KB = 422.1KB, which means that the mp3 is larger than all the Shakespeare’s works by 422.1KB.