Representing images, sound and other data：練習問題

A digital sound recording is made with a sample resolution of 16 bits and a sampling rate of 44,100 Hz. If the recording lasts for 10 seconds and is recorded in mono, which of the following expressions correctly calculates the storage requirement in bytes?

An image is 800 pixels wide and 600 pixels high. It is stored using a colour depth of 24 bits. Assuming no metadata is included, what is the total storage requirement in MiB (Mebibytes)? Give your answer to two decimal places.

A bitmapped image has a colour depth of 8 bits and dimensions of 100 by 50 pixels. Calculate the minimum storage required for the image data in bytes, ignoring metadata.

Briefly explain the principle of Run Length Encoding (RLE) as a method of lossless data compression.

Describe how a Digital-to-Analogue Converter (DAC) converts a series of binary values into a continuous sound wave.

A 15-second digital sound recording is made using a sampling rate of 44.1 kHz and a sample resolution of 24 bits. The recording is stereo (2 channels).

a) Calculate the total number of samples taken during the recording.
b) Calculate the total size of the uncompressed audio file in mebibytes (MiB). Round your answer to two decimal places.
c) Briefly describe the effect of the Nyquist Theorem on the choice of the sampling rate.

A 10-second mono audio recording is made with a sampling rate of 44,100 Hz and a sample resolution of 16 bits.

(a) Calculate the total size of the uncompressed file in bytes. (2 points)
(b) Describe the effect of the Nyquist Theorem on the choice of the 44,100 Hz sampling rate. (2 points)
(c) Explain how a Digital-to-Analogue Converter (DAC) is used to play this sound. (2 points)