第 1 題
1 分Which of the following represents the denary value 43 in 8-bit binary?
GCE O-Level · Computing (7155)
Data Representation：練習題
5 條多項選擇題即時批改，另有 5 條文字題附完整解題步驟，全部圍繞「Data Representation」。
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第 2 題
1 分A specialized digital sensor uses a 6-bit two's complement system to represent temperature readings. What is the denary value of the largest positive integer that can be represented in this system?
第 3 題
1 分Consider an 8-bit two's complement system. What is the result of the binary addition \(01011010 + 11010011\) in denary?
第 4 題
1 分What is the denary equivalent of the 8-bit unsigned binary number 01011010?
第 5 題
1 分Perform the binary addition: \(01101100 + 00111010\). What is the result in denary?
第 6 題
2 分State the hexadecimal representation of the denary number 255 and explain how you arrived at the answer.
先自己寫一次答案，再對照解題步驟。
第 7 題
4 分Identify the 8-bit two's complement binary representation for the denary value \(-128\). Justify your answer briefly.
先自己寫一次答案，再對照解題步驟。
第 8 題
5 分A digital system uses 8-bit two's complement. If the binary value is \(1000\,0101_2\), determine its denary value by showing the weight assigned to the Most Significant Bit (MSB).
先自己寫一次答案，再對照解題步驟。
第 9 題
3 分Explain how computers use 8-bit extended ASCII to represent the English word "CODE". Your explanation should include:
(a) The process of how each character is stored as a bit pattern.
(b) Why 8 bits are sufficient for the extended ASCII character set compared to standard ASCII.
先自己寫一次答案，再對照解題步驟。
第 10 題
5 分Binary representation of signed and unsigned integers is essential for computer processing.
(a) State the maximum positive denary value that can be represented in an 8-bit two's complement binary system.
(b) Determine the 8-bit two's complement representation of the denary number \(-45\). Show your steps.
(c) Using 8-bit two's complement binary addition, add the binary value of \(-45\) from part (b) to the binary value of \(-20\) (given as \(11101100_2\)). State the resulting 8-bit binary value and whether an arithmetic overflow occurs.
先自己寫一次答案，再對照解題步驟。
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