Please give me a divide and conquer algorithm that has runtime better than O(n^2) along with justification. Also please do a runtime analysis on this algorithm.
Please DONT copy and paste other's solution.THANKS
Homework Answers
3)
//Divide and conquer
convertToBinary(base10)
if (base10 == 0)
binary = 0
else
binary = decimal % 2 + 10 * (convertToBinary(basel0 / 2)//everytime
dividing number by 2
//runs is O(logn) where n is base10 number
//complexity is logn because we every time divide n by 2, means n
is reduced to half
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Please help me with this divide and conquer question.
Please show your work.
NOTES: The multiplication we covered in class are
grade-school and Karatsuba multiplication algorithm.
3. Give the best algorithm you can to convert an n digit number base 10 into binary. Here, we are counting operations on single digits as single steps, not arithmetic operations. You can use any of the multiplication algorithms we described in class.)
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Please tell me whether my answers are correct or not. If not
please tell me why and give me a guide to solving the problem
correctly. Thanks!
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