Question

A software developer is using a microphone and a sound editing app to

collect and edit sounds for his new game.
When collecting sounds, the software developer can decide on the sampling
resolution he wishes to use.

ii) Describe how sampling resolution will affect how accurate the
stored digitised sound will be.
b) The software developer will include images in his new game.
i
ii) The software developer is using 16-colour bit-map images.
State the number of bits required to encode data for one pixel of his
image.
iii) One of the images is 16384 pixels wide and 512 pixels high.
The developer decides to save it as a 256-colour bit-map image.
Calculate the size of the image file in gibibytes.

Answer 1

ii) Sampling resolution is the number of bits used to represent each sample of the analog sound wave. Higher sampling resolution means that each sample can be represented with more bits, which results in a more accurate representation of the original sound. This is because higher resolution provides more levels of amplitude that can be represented, resulting in a more faithful reproduction of the original sound wave.

b)

i) The number of bits required to encode data for one pixel of a 16-color bitmap image is 4 bits.

ii) The size of the image file can be calculated as follows:

Number of pixels in the image = 16384 x 512 = 8388608

Number of bits required to encode one pixel in a 256-color bitmap image = 8 bits

Total number of bits required to encode the image = 8388608 x 8 = 67108864 bits

Convert bits to gibibytes:

1 gibibyte = 2^30 bytes

1 byte = 8 bits

Therefore,

67108864 bits = 8388608 bytes = 8.192 megabytes (MB)

1 MB = 2^20 bytes = 0.0009765625 gibibytes

Therefore,

8.192 MB = 0.0078125 gibibytes

Hence, the size of the image file is approximately 0.0078125 gibibytes.