Question
Download Solution PDFTina has bought a 4 gigabyte MP3 player. If each song lasts 3 minutes and is recorded at 128 kilo bits per second, then how many songs can be stored on Tina's MP3 player?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFStorage capacity of Tina's MP3 player:
- The storage capacity of Tina's MP3 player is 4 gigabytes.
- 1 gigabyte = 8 * 1024 * 1024 Kilo bits So, 4 gigabytes = 4 * 8 * 1024 * 1024 = 33554432 kilobits
Size of each song:
- The bitrate of each song is 128 kilo bits per second.
- This means that each second of the song takes up 128 kilo bits of storage space.
- A minute is equal to 60 seconds, so a song that lasts 3 minutes takes up 128 * 180 = 23040 bits of storage space.
Number of songs that can be stored on Tina's MP3 player:
- The number of songs that can be stored on Tina's MP3 player is the total storage capacity of the MP3 player divided by the size of each song.
- This is 33554432 / 23040 = 1456 songs.
Therefore, the correct answer is 4.
Last updated on Jun 19, 2025
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