Practice Repeated Subtract And Left-shift Algorithm (3.6.2) - Digital Arithmetic - Part B
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Repeated Subtract and Left-Shift Algorithm

Practice - Repeated Subtract and Left-Shift Algorithm

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What do we call the number being divided in a division operation?

💡 Hint: Think of the number you have before the division.

Question 2 Easy

What do we record if we cannot subtract without borrowing?

💡 Hint: Recall the behavior of digits in traditional subtraction.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the first step in the repeated subtract and left-shift algorithm?

Subtract the divisor from the dividend.
Append the next MSB.
Record the final result.

💡 Hint: Think of how you start any division.

Question 2

In the case of needing to borrow, what do you write in the quotient?

True
False

💡 Hint: Remember how subtraction works with larger and smaller numbers.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Perform the division of 111001 by 101, using the repeated subtract and left-shift algorithm. Document your steps.

💡 Hint: Take each bit into account, and keep track of your steps thoroughly.

Challenge 2 Hard

Discuss an extension of the repeated subtract and left-shift algorithm for division of negative binary numbers.

💡 Hint: Remember how negative handling works in binary.

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