Practice - Basic Principles of Division: Repeated Subtraction
Practice Questions
Test your understanding with targeted questions
What is the dividend in the expression N = Q × D + R?
💡 Hint: Refer back to the key equation we discussed.
In the restoring division algorithm, what happens if a trial subtraction yields a negative result?
💡 Hint: Think about what happens in manual long division.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary principle of division in binary?
💡 Hint: Think about how you might manually divide using subtraction.
In the non-restoring division algorithm, what do we do if the remainder is negative?
💡 Hint: Recall the key difference between restoring and non-restoring methods.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
You have a dividend of 28 and a divisor of 5. Use both the restoring and non-restoring algorithms to compute the quotient and remainder. Show each step.
💡 Hint: Remember to carefully track each subtraction and check your remainder!
Critically analyze an application where restoring division may be preferable to non-restoring division despite the latter's efficiency. Provide your reasoning.
💡 Hint: Think about when clarity outweighs speed.
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Reference links
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