Question: Evaluate the following signed binary numbers. (3 marks each) a) 0 1 0 0 0 1 0 0 + 0 1 1 0 1 1

Evaluate the following signed binary numbers. (3 marks each) a) 0 1 0 0 0 1 0 0 + 0 1 1 0 1 1 0 0 b) 0 1 1 1 0 1 1 0 - 0 0 1 1 1 1 0 1 c) 1 1 0 1 1 1 0 0 - 0 0 1 0 1 1 1 0

2.Solve.(2 marks each) a) A459

4CF6 b) 8B3

6C4

5. .Which of the following is a negation for "Jim is inside and Jan is at the pool?" Explain. (2 marks) (a) Jim is inside or Jan is not at the pool. (b) Jim is inside or Jan is at the pool. (c) Jim is not inside or Jan is at the pool. (d) Jim is not inside and Jan is not at the pool. (e) Jim is not inside or Jan is not at the pool. 6. Find the truth value of each of the expressions below, using the truth values shown. Show all your steps. (2 marks) ~( ) ~( + ) , = 1, = 0, = 1 7. Using the Identities and Laws of Boolean Algebra, simplify the following expressions. List the specific law used for every simplification. (2 marks each) a. ~(~ + ~) + b. ~ + + + 8. Evaluate using the equivalent binary numbers: (-6) - 5 (2 marks)

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