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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is Booth's algorithm used for?
💡 Hint: Think about the operations it simplifies.
Question 2
Easy
Which representation does Booth's algorithm work directly with?
💡 Hint: Remember how signed numbers are handled.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
Booth's algorithm is mainly used for:
- Addition of numbers
- Multiplication of signed numbers
- Logical operations
💡 Hint: Consider the arithmetic operation it simplifies.
Question 2
True or False: Booth's algorithm requires separate handling for negative numbers.
- True
- False
💡 Hint: Think about how the algorithm deals with the two's complement.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Use Booth's algorithm to multiply -5 (represented as 1011 in 4-bits) by 3 (represented as 0011). Show each step and the final product.
💡 Hint: Write each operation step by step, maintaining track of the product.
Question 2
Evaluate the performance of Booth's algorithm versus classical multiplication by applying it to the numbers: 7 and -4, denoting the efficiency gained in operations.
💡 Hint: Compare operation counts and consider the efficiency gained through bit pair reduction.
Challenge and get performance evaluation