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2 votes
calculate the size of a video file in terms of gb if each frame comprises of 512x512 pixels with 6 bits assigned per pixel with a frame rate of 24 fps and lasts for 30 minutes.

User Qazi Ammar
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8.4k points

2 Answers

4 votes

Answer:

8.4 gigabytes

Step-by-step explanation:

To calculate the size of a video file in terms of gigabytes (GB), you need to consider several factors: frame size, color depth, frame rate, and video duration.

Frame Size: Each frame comprises 512x512 pixels.

Color Depth: Each pixel uses 6 bits.

Frame Rate: The video has a frame rate of 24 frames per second (fps).

Video Duration: The video lasts for 30 minutes, which is equivalent to 1800 seconds (30 minutes x 60 seconds/minute).

Now, let's calculate the size of the video file:

Step 1: Calculate the size of one frame in bits.

Size of one frame (in bits) = Frame width x Frame height x Color depth

Size of one frame = 512 x 512 x 6 bits

Size of one frame = 1,572,864 bits

Step 2: Calculate the size of one second of video.

Size of one second (in bits) = Size of one frame x Frame rate

Size of one second = 1,572,864 bits/frame x 24 frames/second

Size of one second = 37,345,536 bits/second

Step 3: Calculate the size of the entire 30-minute video in bits.

Size of the entire video (in bits) = Size of one second x Video duration

Size of the entire video = 37,345,536 bits/second x 1800 seconds

Size of the entire video = 67,221,964,800 bits

Step 4: Convert the total size to gigabytes (GB).

1 gigabyte (GB) = 8,000,000,000 bits

Size of the video (in GB) = Size of the entire video (in bits) / 8,000,000,000 bits/GB

Size of the video = 67,221,964,800 bits / 8,000,000,000 bits/GB

Size of the video ≈ 8.4 GB

So, the size of the video file is approximately 8.4 gigabytes.

5 votes

If each frame comprises of 512x512 pixels with 6 bits assigned per pixel, and the video has a frame rate of 24 fps, and lasts for 30 minutes, the size of the video file would be approximately 7.90 GB.

User Ryan Tate
by
7.8k points
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