Describe the concept of fixed-point and floating-point representations of numbers in computer systems. How do these representations impact numerical precision and performance?
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Describe the concept of fixed-point and floating-point representations of numbers in computer systems. How do these representations impact numerical precision and performance?
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- How do computers store and perform arithmetic operations with integers? Explain the limitations of integer representation in computer systems.What is "Approximation Error" in floating-point representation? Why is it happening?Describe the concept of fixed-point and floating-point representations of numbers in computer systems. How do these representations impact numerical precision, and when is each used?
- Discuss the concept of signed and unsigned integers in programming languages. How are these representations used, and what are their implications for memory storage?How are float numbers represented in computer systems? What is the main difference between the multiple representations, and how do you know whether to utilise one over the other?Explain why hexadecimal notation is favored in computer and programming.
- Explain the concept of signed magnitude representation for integers in computer systems. How does it handle positive and negative numbers?How does the choice of numerical precision (e.g., floating-point vs. fixed-point arithmetic) affect bounded summation calculations in numerical computing?What is a floating point representation
- What exactly does "widen conversion" entail when it comes to the field of computer science?Describe the concept of integer overflow and underflow in computer arithmetic. What can happen when these conditions occur, and how can programmers handle them?Define and discuss the concept of binary representation in computer systems.