I am an audiophile and I want extremely high quality sound so I chose to sample my music at 192,000 samples/second. I am also don't trust any compression of my music files so I don't compress them. In addition I want finer steps in my amplitude so I sample at 64 bits/sample. How many Megabytes would a song that was 3.7 minutes take in memory?

325 (Mb) megabyte.

Explanation:

The audiophile samples his music at 192000 samples per second, because he does not like to compress his music files.

And there are 64 bits in very one music sample.

The music file is 3.7 minutes long, 1 minute is 60 seconds,

= 3.7 x 60 seconds = 222 seconds.

The number of bits per second is;

= 192,000 samples x 64 bits = 12,288,000 bits per second.

total bits for the total length of the music file is;

= 12,288,000 bits per second x 222 seconds = 2,727,936,000 bits

converting from bits to byte, 8 bits is equivalnt to 1 byte,

= 2,727,936,000 bits / 8 = 340,992,000 bytes

1 MB is equal to 1,048,578 bytes;

= 340,992,000 bytes / 1,048,578 bytes

= 325.19 Mb approximately 325 Mb