Calculate how much storage space is needed to record a 32- bit, 3 khz, stereo music for a duration of 1 hour. (Give in bytes: put the value without symbol)
Question
Calculate how much storage space is needed to record a 32- bit, 3 kHz, stereo music for a duration of 1 hour. (Give in bytes: put the value without symbol)
Solution
To calculate the storage space needed, we need to use the formula:
Storage Space = Bit Depth * Sample Rate * Channels * Time
where:
- Bit Depth is 32 bits
- Sample Rate is 3 kHz (or 3000 Hz)
- Channels is 2 (for stereo)
- Time is 1 hour (or 3600 seconds)
So, the calculation would be:
Storage Space = 32 bits/sample * 3000 samples/second * 2 * 3600 seconds
However, the answer needs to be in bytes, and there are 8 bits in a byte. So we divide the result by 8 to convert bits to bytes:
Storage Space = (32 bits/sample * 3000 samples/second * 2 * 3600 seconds) / 8
= 27,648,000,000 bytes
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