Why Hex? (2 marks)
Explain why hexadecimal notation is often used in computing instead of binary or decimal notation.
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2.1 Binary
Hexadecimal to Binary (1 mark)
The hexadecimal number 2E is to be converted into a binary number. Provide the binary equivalent of 2E.
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Binary to Hexadecimal (2 marks)
Given the binary number 11100101, convert it to its hexadecimal equivalent.
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Arithmetic Shift (5 marks)
Perform an arithmetic shift to the left by 3 positions on the binary number 01010101 for a signed 8-bit binary representation. Explain the difference between an arithmetic shift and a logical shift in this context.
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Logical Shift (4 marks)
Apply a logical shift to the right by 2 positions on the binary number 10110011. State the result and explain the effect of this operation.
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Adding Binary Patterns (3 marks)
Add the following two binary numbers: 11001010 and 01110101.
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Converting Two’s Complement (3 marks)
The binary number 10101010 is an 8-bit two’s complement binary number. What is the decimal equivalent?
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Importance of Overflow (4 marks)
Explain the process and importance of overflow in the context of unsigned and signed integers.
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Conversion between Denary and 8-bit Binary Numbers (1 mark)
Convert the denary number 156 to an 8-bit binary number.
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Conversion from Binary to Denary (2 marks)
Convert the 8-bit binary number 11100101 to a denary number.
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