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- Name the four ways in which signed integers can be represented indigital computers, and explain the differences.Is the set of all real numbers whose decimal expansions are computed by a machine countable? Give a justification as to why.What is decimal and binary numbers . How to convert decimal to binary numbers and vice versa .Give an example .
- Why cannot decimal 0.2 be represented exactly by a finite number of bits?Explain the concept of signed magnitude representation for integers in computer systems. How does it handle positive and negative numbers?Introduce the concept of prime numbers within the set of integers and discuss their properties and significance in number theory.
- Peano numbers are a representation of base 2 with the digits 0 and 1. True FalseWhat is the relationship between a radix or base and the number of symbols in a positional number system?Provide a step-by-step explanation of how to perform addition and subtraction with integers, considering both positive and negative numbers.
- The inherent irrationality of all complex numbers makes it difficult for digital computers to do floating-point arithmetic without making frequent mistakes. Explain?Explore the mathematical properties of Lucas numbers and their connections to Fibonacci numbers. How do Lucas numbers appear in various mathematical contexts?sum of numbers or