Calculate how much storage space is needed to record a 32- bit, 7 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, 7 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 the number of bits in each sample, which is 32 bits in this case.
- Sample Rate is the number of samples per second, which is 7,000 (or 7 kHz) in this case.
- Channels is the number of separate audio signals, which is 2 for stereo sound.
- Time is the duration of the audio in seconds. Since we're looking for an hour, this would be 60 minutes * 60 seconds = 3,600 seconds.
So, the calculation would be:
Storage Space = 32 bits/sample * 7,000 samples/second * 2 * 3,600 seconds
This gives us the total storage space in bits. However, we want the answer in bytes, and there are 8 bits in a byte. So, we divide the total by 8 to convert from bits to bytes:
Storage Space = (32 * 7,000 * 2 * 3,600) / 8 bytes
When you calculate this, you get 3,168,000,000 bytes.
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