Answer:
i) The sampling resolution determines the number of bits used to represent each sample of the sound wave. The higher the sampling resolution, the more accurately the stored digitized sound will represent the original sound. This is because higher resolution allows for more fine-grained distinctions between sound wave amplitudes. However, increasing the sampling resolution also increases the size of the file, as more bits are needed to store the additional information.
ii) For a 16-color bitmap image, each pixel can be encoded using 4 bits (2^4 = 16). This means that 4 bits are required to represent the color of one pixel in the image.
iii) To calculate the size of the image file in gibibytes, we need to know the total number of pixels in the image and the size of each pixel in bits.
The image is 16384 pixels wide and 512 pixels high, so the total number of pixels is:
16384 x 512 = 8,388,608
If the image is saved as a 256-color bitmap image, each pixel can be encoded using 8 bits (2^8 = 256). Therefore, the size of each pixel in bits is 8.
To calculate the size of the image file in bits, we multiply the total number of pixels by the size of each pixel in bits:
8,388,608 x 8 = 67,108,864
To convert this to gibibytes, we divide by 2^30 (the number of bytes in a gibibyte):
67,108,864 / 2^30 = 0.0625 gibibytes
Therefore, the size of the image file is 0.0625 gibibytes (or approximately 64 megabytes).