In an embedded computing system the negative numbers are stored in ?2s complement form1s complement form4s complement form8s complement formNone of the above
Question
In an embedded computing system the negative numbers are stored in ?
- 2's complement
- 1's complement
- 4's complement
- 8's complement
- None of the above
Solution
Break Down the Problem
- Identify the formats for storing negative numbers in embedded systems.
- Evaluate the provided options: 2's complement, 1's complement, 4's complement, 8's complement, and none of the above.
Relevant Concepts
- 2's Complement: The most common way to represent negative numbers in binary. To find the 2's complement of a number, invert all the bits (0s to 1s and 1s to 0s) and then add 1 to the least significant bit.
- 1's Complement: Another method which involves inverting the bits, but it does not include the addition of 1.
- 4's Complement & 8's Complement: These are less common and not typically used in computer systems.
Analysis and Detail
- In embedded systems, the 2's complement method eliminates ambiguity and makes arithmetical operations easier since it allows for a seamless combination of positive and negative numbers.
- The 1's complement can lead to two representations of zero (positive and negative), which is not efficient.
- 4's complement and 8's complement don't conventionally exist in standard binary representation, making them irrelevant in this context.
Verify and Summarize
- After analyzing the available formats:
- 1's Complement is less efficient due to the double representation of zero.
- 4's Complement and 8's Complement are not standard.
- 2's Complement is the preferred representation due to its simplicity and efficiency.
Final Answer
Negative numbers are stored in 2's complement form in embedded computing systems.
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