how to calculate the file size of an image file and a sound file

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Computer Science 2210

how to calculate the file size of an image file and a sound file

how to calculate the file size of an image file and a sound file

Image File Size Calculation

To calculate the file size of an image file, you'll need to know the image resolution and the color depth. Here's how you do it:

  1. Image Resolution: This is the total number of pixels in the image, calculated as width × height.

    Example: If the image resolution is 1920x1080 pixels, the total number of pixels is: 1920 times 1080 = 2,073,600 pixels. 

  2. Color Depth: This indicates the number of bits used to represent each pixel. Common color depths include 8-bit (256 colors), 16-bit (65,536 colors), and 24-bit (16.7 million colors).

  3. Calculation: Multiply the total number of pixels by the color depth (in bits) and then convert bits to bytes (1 byte = 8 bits).

    Example: If the color depth is 24-bit, the file size in bits is: 2,073,600  {pixels} times 24 {bits/pixel} = 49,766,400 {bits}

    Convert bits to bytes: 49,766,400 {bits} / 8 = 6,220,800 bytes

    Convert bytes to kilobytes (KB) (1 KB = 1024 bytes): 6,220,800 bytes / 1024 = 6075 KB

    Convert kilobytes to megabytes (MB) (1 MB = 1024 KB): 6075 KB / 1024 = 5.93 MB

So, the file size of the image is approximately 5.93 MB.

 

Sound File Size Calculation

To calculate the file size of a sound file, you'll need to know the sound sample rate, resolution, and length of the track. Here's how you do it:

  1. Sample Rate: This is the number of samples taken per second, measured in Hertz (Hz). Common sample rates include 44.1 kHz (CD quality) and 48 kHz.

  2. Resolution (Bit Depth): This is the number of bits used to represent each sample. Common bit depths include 16-bit and 24-bit.

  3. Length of Track: This is the duration of the audio, measured in seconds.

  4. Channels: Number of audio channels (e.g., 1 for mono, 2 for stereo).

  5. Calculation: Multiply the sample rate by the resolution (in bits), the length of the track (in seconds), and the number of channels. Then convert bits to bytes.

    Example: If the sample rate is 44.1 kHz, the resolution is 16-bit, the track length is 180 seconds (3 minutes), and it's stereo (2 channels), the file size in bits is: 44,100 {samples/second} times 16 {bits/sample} times 180 {seconds} times 2 {channels} = 254,016,000 bits 

    Convert bits to bytes: 254,016,000 bits / 8 = 31,752,000 bytes

    Convert bytes to kilobytes (KB) (1 KB = 1024 bytes): 31,752,000 bytes / 1024 = 31,031.25 KB

    Convert kilobytes to megabytes (MB) (1 MB = 1024 KB): 31,031.25 KB / 1024 = 30.31 MB

So, the file size of the sound file is approximately 30.31 MB.

 

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