Question: 24. Consider the following classical recursive algorithm for computing the factorial n! of a non-negative integer n: FACTORIAL(n): if n=0 else return 1 return

24. Consider the following classical recursive algorithm for computing the factorial n! of a non-negative integer n: FACTORIAL(n): if n=0 else return 1 return n FACTORIAL (n - 1) (a) How many multiplications does this algorithm perform? (b) How many bits are required to write n! in binary? Express your answer in the form (f(n)), for some familiar function f(n). [Hint: (n/2)/2 < n!

Step by Step Solution

★★★★★

3.56 Rating (146 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The algorithm performs n multiplications b To write n in binary we ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!

five steps are invloved in defining a project what is first

Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

Is informing the consumer about any toxic substances used in the manufacture of a product sufficient to produce an efficient level of toxic substance use for that product? Why or why not?

A certain part is routed through six machines in a batch production plant. The setup and operation times for each machine are given in the table below. The batch size is 100 and the average non...

Discuss the use of the Gantt Chart for scheduling purposes.

Explain the goal of behavior therapy.

A restaurant bakes its own bread for $ 152 per unit (100 loaves), including fixed costs of $ 39 per unit. A proposal is offered to purchase bread from an outside source for $ 105 per unit, plus $ 12...

What are the primary elements and totals found on a multi-step income statement? Why are these important?

Fairview Corporation, a manufacturer of mobile phones, sold one hundred units of its deluxe phones to one of its best retail customers. Fairview's total selling price of the one hundred phones was...

Causes of discrepancies between actual inventories and recorded inventories EXCLUDE A. non-receipt of goods in time to store. B. errors of incorrect recording and calculation. C. under or over issues...

Prepare a Life Cycle Assessment of returnable and non-returnable glass bottles used for the production of soda. The bottles have a capacity of 300 mL. A returnable bottle has a mass of 250 g and...

Consider the design of an engineered wetland amended with limestone to treat acidic drainage from a coal mine. For the purposes of this problem, we will focus on the total dissolved solids (TDS) of...

Hudson Jewelers' current layout displays jewelry designs from the CAD system on a screen in the front of the store. However, customers have little privacy when designing jewelry there. What are the...

You deposit $A today in a fund paying interest at j4 = 6%. You plan to make quarterly withdrawals for 5 years (for a total of 20 withdrawals), with the first deposit made 1 year from now. The first...

2. Titanic Corporation has three investment centre as below: Centre Nike Pine Feira (RM) (RM) (RM) Sales Operating income Average operating assets 4,000,000 6,000,000 3,500,000 4,000,000 6,000,000...

Required information Exercise 13-10 Analyzing efficiency and profitability LO P3 [The following information applies to the questions displayed below.) Simon Company's year-end balance sheets follow....

The nitrogen atoms in N2 participate in multiple bonding, whereas those in hydrazine, N2H4, do not. (a) Draw Lewis structures for both molecules. (b) What is the hybridization of the nitrogen atoms...

The first nine digits of the ISBN-10 of the European version of the fifth edition of this book are 0-07-119881. What is the check digit for that book?

Show that x2 + 4x + 17 is O(x3) but that x3 is not O(x2 + 4x + 17).

Determine whether the graph shown has directed or undirected edges, whether it has multiple edges, and whether it has one or more loops. Use your answers to determine the type of graph in Table 1...

Simplify the following radicals: (a) 169x68 (b) 81x2426 (c) 108x3y5 (d) 450x4y526

Simplify the following radicals: (d) (a) 32 605 (b) 7.63 (e) 753 (c) 243 (f) 2886

Estimate the following using a calculator: (a) 65 (f) 2197 (b) 37 (c) 8-4 (d) 12-6 (g) 50,625 (h) 7840.5 (e) 784 (i) 50,6250.25