To sample a black and white image that is 4" by 6" for a good digital approximation using a pixelation widget, you would:

• Divide the image into a grid of small, uniformly sized square samples (pixels). Each pixel represents a small area of the image and is assigned either black or white based on the average color in that area

• Choosing the sample size (pixel size) is crucial:
  • Smaller sample squares mean more pixels, resulting in a higher sampling rate and a finer, more detailed digital representation of the image.
  • Larger sample squares mean fewer pixels, which reduces detail and may cause the digital image to look blocky or lose important features

• For a 4" by 6" image, a practical approach might be to divide it into a grid of 24 or more squares (for example, 4 rows by 6 columns or finer), depending on the desired resolution and the capabilities of your display or processing system

• The decision on sample size affects the digital representation:
  • Smaller pixels capture more detail and produce a clearer image but require more data and processing power.
  • Larger pixels reduce data size but degrade image quality and accuracy

In summary, to provide a good digital approximation, you should choose a sample size small enough to capture the important details of the image, balancing resolution and data size. This involves breaking the 4" by 6" image into many small squares, sampling each, and representing each with a black or white pixel in the digital image