Virtual Labs

1. What is the first step when adding two large numbers stored as strings?

a: Convert to integers Explanation

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b: Add from the left Explanation

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c: Align the digits from the right Explanation

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d: Ignore carry over Explanation

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2. In binary search for square root, what condition determines if you search the left half?

a: If mid*mid < N Explanation

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b: If mid*mid > N Explanation

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c: If mid = N Explanation

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d: If mid is odd Explanation

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3. What is the result of adding 12345678901234567890 and 98765432109876543210 as strings?

a: 111111111101111111100 Explanation

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b: 11111111101111111110 Explanation

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c: 110000000011000000100 Explanation

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d: 111111111011111111100 Explanation

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4. Why is floating-point precision important in square root calculation?

a: To make the code shorter Explanation

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b: To ensure the answer is accurate to the required decimal places Explanation

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c: To avoid using loops Explanation

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d: To use more memory Explanation

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5. Which of the following is the best way to handle carry over in large number addition?

a: Ignore carry over Explanation

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b: Add all digits and divide by 10 Explanation

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c: Subtract carry from the result Explanation

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d: Add corresponding digits and keep track of carry Explanation

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6. What is the main advantage of using binary search for square root over trial division?

a: It is easier to implement Explanation

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b: It is much faster for large N Explanation

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c: It always gives an exact answer Explanation

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d: It uses less memory Explanation

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7. Which application relies heavily on large number arithmetic?

a: Sorting small arrays Explanation

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b: Printing numbers Explanation

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c: Cryptography Explanation

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d: Finding minimum value Explanation

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8. What is a limitation of using strings for arithmetic operations?

a: Slower performance compared to integers Explanation

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b: Unlimited speed Explanation

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c: No need for carry over Explanation

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d: Automatic error correction Explanation

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9. Which of the following is true about the result of binary search for square root?

a: It is accurate up to the required decimal places Explanation

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b: It is always an integer Explanation

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c: It is always exact Explanation

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d: It cannot be used for large N Explanation

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10. What is the main reason to analyze the efficiency of arithmetic algorithms?

a: To ensure they work quickly for large inputs Explanation

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b: To make the code longer Explanation

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c: To use more memory Explanation

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d: To avoid using arithmetic Explanation

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Advanced Arithmetic