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Imagine a RGB image of size 100 X 100. The number of integers that would be stored in the memory would be.

Question

Imagine a RGB image of size 100 X 100.

The number of integers that would be stored in the memory would be.

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Solution

1. ### Break Down the Problem

To determine the number of integers stored in memory for a RGB image of size 100 x 100, we must consider:

  • The dimensions of the image.
  • The color model used (RGB).
  • The number of bytes for each color channel.

2. ### Relevant Concepts

  1. Each pixel in an RGB image has three color channels: Red, Green, and Blue.
  2. Each color channel typically requires one byte (or 8 bits), which can store integer values from 0 to 255.
  3. The total number of pixels in the image can be calculated as the width multiplied by the height.

3. ### Analysis and Detail

  1. Calculate the total number of pixels: Total Pixels=Width×Height=100×100=10,000 \text{Total Pixels} = \text{Width} \times \text{Height} = 100 \times 100 = 10,000

  2. Calculate the total number of integers (for each RGB channel): Each pixel has 3 channels, so the total integers stored will be: Total Integers=Total Pixels×3=10,000×3=30,000 \text{Total Integers} = \text{Total Pixels} \times 3 = 10,000 \times 3 = 30,000

4. ### Verify and Summarize

Thus, the total number of integers that would be stored in memory for a 100 x 100 RGB image is 30,000.

Final Answer

The number of integers that would be stored in the memory for a RGB image of size 100 x 100 is 30,000.

This problem has been solved

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