the number of colors of the graphic image has been changed from 16 to 65536. How many times has the information size of the graphic file increased?
Answers & Comments
niavi
Hello! I can answer this for your 39 points activity! All we need to know that the number of colors in a graphic image directly affects its file size.
Assuming that the size of the graphic file remains the same, increasing the number of colors from 16 to 65536 means that each pixel now requires more bits to represent the additional colors.
The increase in bits per pixel can be calculated by taking the logarithm base 2 of the new color depth compared to the old color depth:
log2(65536/16) = log2(4096) = 12
This means that each pixel now requires 12 additional bits to represent the increased color depth.
To calculate how many times the information size of the graphic file has increased, we can use the formula:
New file size / old file size = (new width x new height x new bits per pixel) / (old width x old height x old bits per pixel)
Assuming that the width and height of the graphic image remain the same, the formula simplifies to:
New bits per pixel / old bits per pixel = (new file size / old file size)
Solving for the new file size, we get:
New file size = (new bits per pixel / old bits per pixel) x old file size New file size = (16 + 12) / 16 x old file size
New file size = 1.75 x old file size
Therefore, the information size of the graphic file has increased by 1.75 times or 175%.
You may copy my explanation to gather more scores for your project. Good luck!
Answers & Comments
Assuming that the size of the graphic file remains the same, increasing the number of colors from 16 to 65536 means that each pixel now requires more bits to represent the additional colors.
The increase in bits per pixel can be calculated by taking the logarithm base 2 of the new color depth compared to the old color depth:
log2(65536/16) = log2(4096) = 12
This means that each pixel now requires 12 additional bits to represent the increased color depth.
To calculate how many times the information size of the graphic file has increased, we can use the formula:
New file size / old file size = (new width x new height x new bits per pixel) / (old width x old height x old bits per pixel)
Assuming that the width and height of the graphic image remain the same, the formula simplifies to:
New bits per pixel / old bits per pixel = (new file size / old file size)
Solving for the new file size, we get:
New file size = (new bits per pixel / old bits per pixel) x old file size
New file size = (16 + 12) / 16 x old file size
New file size = 1.75 x old file size
Therefore, the information size of the graphic file has increased by 1.75 times or 175%.
You may copy my explanation to gather more scores for your project. Good luck!