1. What are the minimum and maximum values of the carry digit in base 10? 2. How

Question

1. What are the minimum and maximum values of the carry digit in base 10?

2. How does the maximum value of the carry digit vary in different bases?

3. What are the inputs and outputs of a full adder?

4. Which logical operations are used for a full adder in base 2?

5. How is a modulus similar to a base?

6. Describe a radix complement. (If x has radix complement y, what does that mean?)

7. Give the formula for a radix complement of x.

8. In complement arithmetic, why is adding the complement equivalent to subtracting?

9. In complement arithmetic, how many cycle positions are assigned negative values?

10. In 2’s complement arithmetic, how is arithmetic negation related to logical negation?

11. In 2’s complement arithmetic, what is the effective place value of the top bit?

12. Why does sign extension work?

13. When does addcc set the overflow bit, and why?

14. Which SPARC instruction is a full adder in base 232?

15. Why doesn’t subccc need two carry bits?

Explanation / Answer

Answer for Question 3:
Full Adder have three inputs(A, B, Carry Bit) and two outputs (S, Carry Out)

Answer for Question 4:
Full Adder will perform XOR, AND and OR operations with Base2

Answer for Question 5:
Modulus is absolute value. base is the number of unique digits, including zero, used to represent numbers in a positional numeral system.

Answer for Question 6:
Radix Complement means consider 2's complement of given Base 2 number..
It means converts the given binary string top two's complement form.

Answer for Question 7:

http://osp.mans.edu.eg/cs212/CS212_chapter_1_notes.pdf

Answer for Question 8:

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