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Questions and Answers
Which operation is used to convert a positive binary number into a negative binary number with equivalent negative value?
Which operation is used to convert a positive binary number into a negative binary number with equivalent negative value?
- Two's complement (correct)
- Multiplication
- Addition
- Subtraction
What is the purpose of using two's complement in computer science?
What is the purpose of using two's complement in computer science?
- To represent positive integers only
- To represent both positive and negative integers (correct)
- To represent zero only
- To represent negative integers only
How is the sign of a binary number determined in two's complement representation?
How is the sign of a binary number determined in two's complement representation?
- By the middle bit
- By the most significant bit (correct)
- By the average of all bits
- By the least significant bit
What is the first step in achieving two's complement?
What is the first step in achieving two's complement?
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What will happen if overflow is not accounted for when performing two's complement?
What will happen if overflow is not accounted for when performing two's complement?
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Study Notes
Two's Complement Representation
- Converting a positive binary number into a negative binary number with equivalent negative value is done by using the two's complement operation.
- The purpose of using two's complement in computer science is to simplify the subtraction operation and to enable the representation of negative numbers.
Determining the Sign of a Binary Number
- In two's complement representation, the sign of a binary number is determined by the most significant bit (MSB).
- If the MSB is 0, the number is positive; if the MSB is 1, the number is negative.
Achieving Two's Complement
- The first step in achieving two's complement is to find the one's complement of the binary number.
- Then, add 1 to the result to get the two's complement.
Handling Overflow
- If overflow is not accounted for when performing two's complement, it can lead to incorrect results and errors.
- Therefore, it is essential to detect and handle overflow when performing two's complement operations.
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