Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > In sign-magnitude numbersa)ms bit always 1b)m...
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In sign-magnitude numbers
- a)ms bit always 1
- b)ms bit 0 stands for the positive numbers
- c)ms bit 0 stands for the negative numbers
- d)ms bit 1 stand for the positive numbers
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
In sign-magnitude numbersa)ms bit always 1b)ms bit 0 stands for the po...
Signed magnitude representation uses the most significant bit (MSB) a sign bit.
- If the sign bit is ‘0’ then the number is positive.
- If the sign bit is ‘1’ then the number is negative.
The remaining bits represent the magnitude of the binary number.
Example:
Example:
- 1000101 represents a negative number as the MSB bit is '1'
- 0101001 represents a positive number as the MSB bit is '0'
Important Point:
- 1’s complement representation: It is a representation of a binary number obtained by toggling all bits in it i.e. transforming the 0 bit to 1 and the 1 bit to 0.
- 2’s complement representation: It is obtained by simply adding 1 to the 1’s complement of that binary number.
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In sign-magnitude numbersa)ms bit always 1b)ms bit 0 stands for the po...
Understanding Sign-Magnitude Representation
Sign-magnitude is a method used to represent signed integers in binary form. The main idea is to use one bit (the most significant bit, or MSB) to indicate the sign of the number, while the remaining bits represent the magnitude.
Sign Bit Functionality
- The MSB (Most Significant Bit) determines the sign:
- If the MSB is 0, the number is positive.
- If the MSB is 1, the number is negative.
Correct Answer Explanation
- The correct answer is option B: "MS bit 0 stands for the positive numbers".
- This means that the presence of a 0 in the MSB signifies a positive magnitude, while a 1 signifies a negative magnitude.
Example of Sign-Magnitude Representation
- For a 4-bit sign-magnitude representation:
- 0001 represents +1 (MSB is 0, indicating positive).
- 1001 represents -1 (MSB is 1, indicating negative).
Summary of Key Points
- MSB = 0: Positive Numbers
- MSB = 1: Negative Numbers
- This representation allows for easy identification of the sign, making it a straightforward method for representing signed integers.
Understanding this system is crucial for computer science applications, especially in areas dealing with binary arithmetic and data representation.
Sign-magnitude is a method used to represent signed integers in binary form. The main idea is to use one bit (the most significant bit, or MSB) to indicate the sign of the number, while the remaining bits represent the magnitude.
Sign Bit Functionality
- The MSB (Most Significant Bit) determines the sign:
- If the MSB is 0, the number is positive.
- If the MSB is 1, the number is negative.
Correct Answer Explanation
- The correct answer is option B: "MS bit 0 stands for the positive numbers".
- This means that the presence of a 0 in the MSB signifies a positive magnitude, while a 1 signifies a negative magnitude.
Example of Sign-Magnitude Representation
- For a 4-bit sign-magnitude representation:
- 0001 represents +1 (MSB is 0, indicating positive).
- 1001 represents -1 (MSB is 1, indicating negative).
Summary of Key Points
- MSB = 0: Positive Numbers
- MSB = 1: Negative Numbers
- This representation allows for easy identification of the sign, making it a straightforward method for representing signed integers.
Understanding this system is crucial for computer science applications, especially in areas dealing with binary arithmetic and data representation.
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In sign-magnitude numbersa)ms bit always 1b)ms bit 0 stands for the positive numbersc)ms bit 0 stands for the negative numbersd)ms bit 1 stand for the positive numbersCorrect answer is option 'B'. Can you explain this answer?
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