Practice Multiplication (9.3.2) - Principles of Computer Arithmetic in System Design
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Multiplication

Practice - Multiplication

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Explain the shift-and-add multiplication method.

💡 Hint: Think of how you handle multiplication by hand, but with binary digits.

Question 2 Easy

What is the purpose of Booth’s Algorithm?

💡 Hint: Consider the operations it performs on pairs of bits.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the main function of the shift-and-add algorithm?

To divide numbers
To perform binary multiplication
To compare two numbers

💡 Hint: Think about the type of arithmetic operation it conducts.

Question 2

True or False: Booth’s Algorithm only works with positive numbers.

True
False

💡 Hint: Remember its function in signed multiplications.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using Booth's Algorithm, multiply -5 (two's complement: 1011) by 3 (0011) and illustrate the steps needed for this multiplication.

💡 Hint: Keep track of negative representation and how each bit affects the total.

Challenge 2 Hard

Design a simple array multiplier for 4-bit numbers and demonstrate how it processes an example multiplication, say 1011 and 1101.

💡 Hint: Draw the grid and track the bits flowing through all adders.

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