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.