What is the 2’s complement representation and how it works? What are the advantages?
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What is the 2’s complement representation and how it works? What are the advantages?
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- Describe the concept of one's complement representation for signed integers in binary. How does it differ from two's complement, and what are its advantages and disadvantages?How does an ALU manage negative numbers, especially in the context of two's complement representation?How are the unsigned binary representations different from one another (apart from underscores)?
- Describe the concept of two's complement representation for signed integers in binary. How does it allow for the representation of negative numbers, and what is the significance of this representation?How do the unsigned binary representations differ (ignoring the underscores)?For the next four parts of this question, create a table of answers with (a)-(b) across the top and the samples (123, 123, 140, -140) down the left side. • Write the integer 123 (decimal) in binary using (a) unsigned binary, (b) two's complement, and (c) one's complement representation. If it is not possible, mark it so. • Write the integer -123 (decimal) in binary using (a) unsigned binary, (b) two's complement, and (c) one's complement representation. If it is not possible, mark it so. • Write the integer 140 (decimal) in binary using (a) unsigned binary, (b) two's complement, and (c) one's complement representation. If it is not possible, mark it so. • Write the integer -140 (decimal) in binary using (a) unsigned binary, (b) two's complement, and (c) one's complement representation. If it is not possible, mark it so. For the exceptional cases, explain why these answers are not possible.
- What is priority inversion, and how does it work?What is two's complement representation, and how is it used to represent negative integers in binary?I want the values of numbers from positive 1 to 15 and from negative 1 to negative 15 in Signed Magnitude, Signed-2's Complement, and Signed-1's Complement representations, like this image.
- How are complement systems comparable to the odometer on a bicycle?Explain the term masking. How is it useful for data representation? Explain the concept using an example For a floating-point format with a k -bit exponent and an n -bit fraction, give a formula for the smallest positive integer that cannot be represented exactly (because it would require an n + 1 –bit fraction to be exact).Explain the concept of two's complement representation for signed integers in binary. How does it handle positive and negative numbers, and why is it widely used in computer systems?