Question

For Questions 1-4, assume you have 5 bits available:

1. For (positive) integers: What is the maximum range? (Show work) (3 points)

2. Using Sign Magnitude: a). For integers: What is your maximum (positive) and minimum (negative) range? (2 points) b). Draw a table mapping each integer value to the corresponding binary value. (5 points) c). Does Sign Magnitude suffice to map the result of binary mathematical operations to the corresponding result of decimal integer mathematical operations? Explain your answer and give examples. (3 points).

3. Using One's Compliment: a). For integers: What is your maximum (positive) and minimum (negative) range? (2 points) b). Draw a table mapping each integer value to the corresponding binary value. (5 points) c). Does One's Compliment suffice to map the result of binary mathematical operations to the corresponding result of decimal integer mathematical operations? Explain your answer and give examples. (9 points) 4. Using Two's Compliment: a). For integers: What is your maximum (positive) and minimum (negative) range? (2 points) b). Draw a table mapping each integer value to the corresponding binary value. (5 points) c). Does Two's Compliment suffice to map the result of binary mathematical operations to the corresponding result of decimal integer mathematical operations? Explain your answer and give examples. (3 points).

Answer 1