Binary Subtraction using Two’s Complement (4 marks)
Subtract the binary number 0010 from 1100 using the two’s complement method. Show your working and final answer.
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Binary Numbers
Overflow and Underflow (3 marks)
Explain what is meant by ‘overflow’ and ‘underflow’ in the context of binary arithmetic.
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Arithmetic Shift Functions (3 marks)
(a) Describe an arithmetic shift right operation and its effect on the binary number 10110010. (b) If this operation is performed twice on the original number, what is the resulting binary number?
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Binary Arithmetic (2 marks)
Perform the following binary addition: 1101 + 0110. Show your working and state if there is an overflow.
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Conversion between Counting Systems (3 marks)
Convert the hexadecimal number 5A to binary and denary. Show your workings.
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Two’s Complement and Sign and Magnitude (2 marks)
(a) Represent the denary number -18 in an 8-bit binary using two’s complement. (b) Represent the same number using sign and magnitude representation.
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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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