- Asked 3/8
- 2076 Bhadra · 5 marks
File size: 60 s, 44.1 KHz, 8-bit stereo
Short answer
Use sampling rate x bits x channels x time / 8. For 44,100 x 8 x 2 x 60 / 8, the file size is 5,292,000 bytes, about 5.05 MB.
Calculate the file size in bytes for a 60 second recording at 44.1 KHz, 8 bits resolution stereo sound.
The size of an uncompressed (PCM) audio file is found from the sampling rate, the resolution, the number of channels and the duration.
File size (bytes) = sampling rate x bits per sample x channels x time / 8
Given
- Sampling rate = 44.1 kHz = 44,100 samples per second
- Resolution = 8 bits per sample = 1 byte
- Channels = 2 (stereo)
- Time = 60 seconds
Calculation
- Samples per second for both channels = 44,100 x 2 = 88,200
- Bits per second = 88,200 x 8 = 705,600 bits/s
- Bytes per second = 705,600 / 8 = 88,200 bytes/s
- Total size = 88,200 x 60 = 5,292,000 bytes
In larger units
- 5,292,000 / 1024 = 5,167.97 KB
- 5,292,000 / (1024 x 1024) = 5.05 MB
Check in one line: 44,100 x 8 x 2 x 60 / 8 = 5,292,000 bytes.
The file size is 5,292,000 bytes (about 5.05 MB). A WAV file would also have a small header (about 44 bytes), which is ignored here.
✓ Answer checked by Claude Opus 5.5 (high effort)
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