1. What is complement number representation?

Ans. Complement number representation is a method used in computer systems to represent negative numbers. It involves representing the negative value of a number by taking the complement of its positive value. This helps in simplifying arithmetic operations and storage of negative numbers in the system.

2. How does complement number representation work?

Ans. In complement number representation, the most common method used is the two's complement. To obtain the two's complement of a number, the bits are inverted (1s become 0s and 0s become 1s) and then 1 is added to the result. This representation ensures that the addition and subtraction of numbers, regardless of their sign, can be performed using the same hardware.

3. Why is complement number representation useful in computer systems?

Ans. Complement number representation is useful in computer systems because it simplifies arithmetic operations involving negative numbers. By using the two's complement method, addition and subtraction of numbers can be performed using the same hardware circuits, reducing complexity and saving resources. It also allows for efficient storage of negative numbers in memory.

4. Can complement number representation be used for floating-point numbers?

Ans. Complement number representation is primarily used for representing integers in computer systems. Floating-point numbers, on the other hand, require a different representation scheme such as the IEEE 754 standard. Complement number representation is not directly applicable to floating-point numbers due to their complex structure and requirements for precise representation of fractional parts.

5. Are there any limitations or drawbacks to complement number representation?

Ans. While complement number representation has many advantages, it does have some limitations and drawbacks. One limitation is that the range of representable numbers is asymmetrical, with one less negative number compared to positive numbers. Another drawback is that the two's complement representation does not have a unique representation for zero. Additionally, overflow and underflow conditions can occur if the result of an arithmetic operation exceeds the range of representable numbers.

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