Dubling Method

The doubling method is primarily used for?.

• a) Finding the square root of a number.

• b) Solving linear equations.

• c) Efficiently calculating powers of 2.

• d) Determining prime numbers.

The doubling method always results in an exact answer, with no rounding errors. True or false.

• TRUE

• FALSE

3.In the doubling method, each iteration involves multiplying the previous result by ___.

• 3

• 6

• 2

• 5

Which of the following is NOT a typical application of the doubling method?

• a) Calculating Fibonacci numbers.

• b) Exponentiation.

• c) Finding the greatest common divisor.

The doubling method is generally more efficient than iterative addition for calculating large powers. (True/False)

• TRUE

• FALSE

Fill in the Blank:

To calculate 28 using the doubling method, you would perform ___ doublings.

• 4 dumbling

• 2 dumbling

• 1 dumbling

• 3 dumbling

What is the time complexity of the doubling method for calculating xn where n is the exponent?

• a) O(n)

• b) O(log n)

• c) O(n2)

• d) O(1)

 What is the primary operation repeated in the doubling method?

• a) Addition

• b) Subtraction

• c) Multiplication

• d) Division

 If you want to calculate 58 using the doubling method, how many multiplications would you perform (not including the initial multiplication by 1)?

• a) 8

• b) 4

• c) 3

• d) 1

The doubling method is closely related to which mathematical concept?

• a) Euclidean algorithm

• b) Binary representation

• c) Prime factorization

• d) Taylor series expansion