Information representation：練習題

When encoding sound digitally, what is the most likely result of increasing the sampling rate?

A graphics designer is choosing between a vector graphic and a bitmapped image for a project. Which of the following statements correctly identifies a unique property of vector graphics representation?

A computer system uses 10-bit two’s complement to represent integers. A calculation is performed to subtract \( Y \) from \( X \) (i.e., \( X - Y \)), where \( X = 256_{10} \) and \( Y = -256_{10} \).

Which statement correctly identifies the outcome of this operation and the state of the processor's overflow flag?

Which of the following statements correctly describes a key difference between the ASCII character set and the Unicode character set?

Unicode was developed to overcome the limitations of the original ASCII character set. Which of the following best describes the technical characteristic of Unicode that allows it to represent a significantly larger range of characters and symbols from global languages?

Describe what is meant by overflow and explain why it might occur when a computer system performs addition on two \( 8 \text{-bit} \) unsigned binary integers.

Explain one practical application of Binary Coded Decimal (BCD) and describe why it is used instead of pure binary for that specific purpose.

Explain how Run-Length Encoding (RLE) can be used to compress a bitmapped image and identify the characteristics of an image that would result in a very low compression ratio using this method.

(a) Perform the following binary addition for two 8-bit unsigned integers. Show your working.
\( 10110011 + 01101010 \)
(b) Explain why an overflow error occurs in this specific calculation and how it would be detected by a processor.
(c) State the largest denary value that can be represented in an 8-bit unsigned binary register and the largest denary value for an 8-bit two's complement signed register.

A 1-byte register contains the binary value \( 01101100 \).
(a) Show the 8-bit binary result of performing a logical shift right by 2 places on the value in the register.
(b) Describe the mathematical effect of a logical shift right by \( n \) places on an unsigned binary integer.
(c) A programmer needs to check if the bit at position 2 (the third bit from the right) is set to 1. Explain how bit masking using the AND operator and a specific bit mask can be used to isolate this bit.