Practice Problems

1-Using MP3, how many bits are required to store a 3-minute song in uncompressed format? If the information is compressed with a ratio of 4:1, how many bits are required?

2-If we instead use a sampling rate of 66,000 samples per second and a bit depth of 24, how many bits are required to store that same 3-minute song?

3-How many bits are needed to store a single uncompressed RGB image from a 2.1 megapixel (millions of pixels) digital camera? How many bytes of memory is this?

4-If we want the image in Problem 3 to fit into 1 megabyte of memory, what compression ratio is needed? If we want it to fit into 256 kilobytes (thousands of bytes) of memory, what compression ratio is needed?

5-If we were able to reduce the storage space of an image to 3 megabits from its original size of 9.6 megabits, what would the compression ratio be?

6-How much space is saved by representing the Hawaiian word ALOHA in the variable-length code. What is the compression ratio?

Using variable-length code sets Fixed length Variable length

a- fixed length

b- variable length

7- Assume your smartphone has 16 GB available for music storage. If the average song is 3 minutes long, and it has been recorded using a sampling rate of 44,100 samples per second, a bit depth of 16 bits, and a compression ratio of 10:1, approximately how many songs can be stored on your phone?