Practice Repeated Left-shift And Add Algorithm (3.5.1) - Digital Arithmetic - Part B
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Repeated Left-Shift and Add Algorithm

Practice - Repeated Left-Shift and Add Algorithm

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the first step when utilizing the repeated left-shift and add algorithm?

💡 Hint: Think about where binary numbers begin.

Question 2 Easy

Define what a partial product is.

💡 Hint: Consider how you break down a multiplication problem.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the first partial product represent when using the repeated left-shift and add algorithm?

It represents a zero input.
It is the original multiplicand.
It's the binary equivalent of zero.

💡 Hint: Think about when we need to multiply by the multiplicand.

Question 2

True or False: The left-shift action on the multiplicand is only needed when we see a '1' in the multiplier.

True
False

💡 Hint: Consider how the products are formed.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Multiply (1101) by (1010) using the left-shift and add method. Show step-by-step.

💡 Hint: Write each shift clearly.

Challenge 2 Hard

Explain how the algorithm handles the case when the multiplier has mixed signs and what impact that has on the product.

💡 Hint: Recall how multiplication works with positives and negatives.

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