Questions and Answers
What is the main difference between signed and unsigned binary numbers?
Signed binary numbers can represent both positive and negative values, while unsigned binary numbers can only represent positive values.
What does the sign bit in signed binary numbers indicate?
Unsigned binary numbers can represent negative values.
False
What is the unique characteristic of unsigned binary numbers?
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The range of unsigned binary numbers starts from 0 to ________.
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How many unique representations of zero are possible in signed magnitude form?
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The signed binary numbers are represented in three ways: Sign-Magnitude form, 1's Complement, and ________.
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What is the binary representation of the decimal number 102?
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Study Notes
Signed and Unsigned Binary Numbers
- Integer variables can be represented as signed or unsigned binary numbers.
- Signed numbers utilize a sign flag to distinguish between positive and negative values.
- Unsigned numbers do not have a sign flag, allowing only non-negative values.
Binary Numbers Representation
- Computers operate using binary language (0s and 1s) for numeric representation.
- Positive numbers can be represented in both signed and unsigned formats.
- Negative numbers are restricted to signed representation.
Unsigned Numbers
- Unsigned numbers are always positive since they lack any sign indicator.
- The default representation of decimal numbers is positive; each digit is assumed to have a positive sign.
- Zero (0) is considered an unsigned binary number and is always positive.
- Unsigned binary numbers uniquely represent values, leading to an unambiguous representation technique.
- The range for unsigned binary numbers is from 0 to (2^n - 1).
- Example of converting decimal 102 to unsigned binary yields (1100110_2) (7-bit magnitude).
Signed Numbers
- Signed numbers include a sign bit for identifying positive or negative integers.
- The signed binary representation combines both the sign bit and the number’s magnitude.
- Negative decimal numbers are represented with a corresponding symbol preceding the binary code.
- Signed numbers can be represented in three primary forms:
- Sign-Magnitude form: Represents numbers with a sign bit for indication.
- 1's Complement: Inverts all bits to represent negative values; ambiguous representation of zero exists.
- 2's Complement: Adds one to the 1's complement, providing a clear distinction between positive and negative zero, avoiding ambiguity.
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Description
This quiz covers the concepts of signed and unsigned binary numbers, focusing on how integer variables are represented in computer systems. It explains the differences between signed numbers, which include a sign flag, and unsigned numbers, which only accommodate positive values. Test your understanding of these foundational concepts in binary representation.
