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Questions and Answers
Which of the following best describes sign-and-magnitude representation?
Which of the following is true about storing an integer larger than the memory location can hold?
What is the range of unsigned integers in sign-and-magnitude representation?
How is +28 stored in an 8-bit memory location using sign-and-magnitude representation?
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How is -28 stored in an 8-bit memory location using sign-and-magnitude representation?
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What are the two sub-ranges that the available range for unsigned integers is divided into in sign-and-magnitude representation?
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How is the sign of an integer determined in sign-and-magnitude representation?
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In Example 3.4, how is +28 stored in an 8-bit memory location using sign-and-magnitude representation?
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In Example 3.5, how is -28 stored in an 8-bit memory location using sign-and-magnitude representation?
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What happens if we try to store an integer larger than 24 - 1 in a memory location that can only hold four bits?
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Study Notes
Integer Overflow
- An integer larger than 15 cannot be stored in a 4-bit memory location.
- Overflow occurs when trying to exceed the maximum limit of a specific bit representation.
Sign-and-Magnitude Representation
- Divides the range for unsigned integers (0 to 2^n − 1) into two equal sub-ranges: positive and negative integers.
- Positive integers are represented in the first half, while negative integers occupy the second half.
Bit Significance
- The leftmost bit (most significant bit) indicates the sign of the integer.
- A 0 signifies a positive integer.
- A 1 signifies a negative integer.
Example of Storing +28
- Convert +28 to 7-bit binary representation.
- Set the leftmost bit to 0 to denote a positive integer.
- Store the resulting 8-bit number.
Example of Storing -28
- Convert -28 to 7-bit binary representation.
- Set the leftmost bit to 1 to denote a negative integer.
- Store the resulting 8-bit number.
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Description
Quiz: Understanding Overflow in Unsigned Integers and Sign-and-Magnitude Representation Test your knowledge on overflow in unsigned integers and the sign-and-magnitude representation method. Learn about the consequences of storing large integers in limited memory locations and the range of values that can be represented.
