How many bits does it take to store a 3-minute song using an audio encoding method that samples at the rate of 40,000 bits/second, has a bit depth of 16, and does not use compression

115200000 bits

Explanation:

Given Data:

Total Time = 3 minute = 3 x 60 sec = 180 sec

Sampling rate = 40,000 bits / sample

Each sample contain bits = 16 bits /sample

Total bits of song = ?

Solution

Total bits of song = Total Time x Sampling rate x Each sample contain bits

                             = 180 sec x 40,000 bits / sec x 16 bits /sample

                             = 115200000 bits

                             =  115200000/8 bits

                             = 14400000 bytes

                             = 144 MB

There are total samples in one second are 40000. Total time of the song is 180 seconds and one sample contains 16 bits. so the total bits in the song are 144 MB.