**Question 1**

Let A be a 4x4 matrix composed of all 0s.

Let B be a 4x4 matrix composed of all 1s.

1. A NAND B = all 0s.

2. A XOR B = all 1s.

3. The first nine digits of a book's ISBN-10 identifier is 0-441-27206. The tenth digit (the check digit) is 5.

4. The binary search algorithm has a smaller "Big(O)" notation than the linear search algorithm and is, therefore, the more efficient algorithm.

5. Given:

Matrix A is of the form 5 x 4

Matrix B is of the form 4 x 2

Matrix C is of the form 2 x 5

B x C x A has the form 5 x 5.

6. A Tautology is always true except when null sets are involved.

7. Given: A = {0,4,6,9,10} and B = {0,6,7,9,12}.

The Cartesian Product of A and B contains 25 valid elements since {0,0}, the NULL SET, is included in the total.

8. The cardinality of the power set {NULL, a, {NULL}, {{NULL}}} is 3. Note: {NULL} indicates the null (empty) set.

9. The matrix MEET is functionally the same as a matrix AND.

10. Using Relations f and g, it is possible that that fog = gof in most cases.

12. Using Set Identities, we can deduce that:

NOT A AND B = A OR NOT B.

13. Log(Base10)100 = 2; log 100(Base2) = 9.96

14. To be invertible, the involved functions must map one-to-one and onto.

PART B

SHOW ALL WORK (within reason) in intermediate steps. Solutions without intermediate work will be graded as zero.

Clearly identify each answer.

1. Define A*B where:

A = | 3 -3 6 | B = | 6 1 |

| 0 4 2 | | 0 -5 |

| 0 3 |

2. Given A and B

A = | 1 0 1 | B = | 1 1 0 |

| 1 1 0 | | 0 1 1 |

| 0 1 0 | | 1 1 0 |

Determine:

A). A MEET B

B). A JOIN B

3. Given A = -2*x^3 - 5x where x = (-0.3, 0, 0.3, 1.4). Determine:

a. CEILING A

b. FLOOR A

4. Define the "Big O" function of:

F(x) = 4x*log(x^2 + 7) + 5*[(4 + x^5) * log(x^7)+ 12]

5. Define the value of:

a) SIGMA (2*i)

where i has the range i = 0 to 3.

b) PI (k + 4)

where k has the range k = 0 to 3.

6. Define the values in the double sigma expression:

SIGMA1 SIGMA2 (3*i*j)

where SIGMA1 has the range of j= 0 to 3, and

where SIGMA2 has the range of i= 1 to 3.

7. Let A = (a,b,c,e,f,g,k) and B = (a,b,c,e,h,i,j). Determine:

a) A INT B

b) B - A

c) A - B

8. Let g be a function from the set G = {1,2,3,...34,35,36). Let f be a function from the set F = {1,2,3,...34,35,36}. Set G and F contain 36 identical elements (a - z and 0 - 9). A partial representation of the G and F relationships are:

g(1) = 26, g(2) = 17, g(3) = 22, and

f(6) = 1, f(9) = 3, f(11) = 2.

Assume a 1:1 and onto relationship. Determine:

a. fog

b. gof

9. Given f(w) = 2, f(x) = 5, f(y) = 2, f(z) = 3. What is the inverse function of 5? That is, f-1(5) = ?

10. Assume that the Basis Step for the sum of the first n ODD Integers is n^2. Develop a table of at least six examples to show this assumption seems to be true. Hint: Follow the process used in previous ECRs.

11. Assume n is a very large value. List the following elements in ascending order:

{(n log n^2), 2^n, log 20, 120, log 10, (n^2 log n^2) }

12. Define the value of:

PI SIGMA 3*k*j

where SIGMA has the range k =0 to 4, and where PI has the range j = 0 to 3.

A.What is the best order to form the product ABCD if A, B, C and D are matrices with dimensions 15 x 25, 25 x 30, 30 x 20, and 20 x 15, respectively. Show your work! Limit your answer to the four alternatives listed below:

a) [( A * B ) * C ] * D

b) (A * B ) * ( C * D )

c) A * [ B * (C * D ) ]

d) [( C * D) * A ] * B

B.

Solve for Computer Time Used when:

Problem size: n = 10^2

Bit operations used: n^3 log n

Processor speed: 10^10 operations/sec

## Define a suitable functional unitDefine a suitable functional unit for a comparative study between two different types of paint. |

## Prepare a proposal to deploy windows serverPrepare a proposal to deploy Windows Server onto an existing network based on the provided scenario. |

## Ict governanceICT is defined as the term of Information and communication technologies, it is diverse set of technical tools and resources used by the government agencies to communicate and produce, circulate, store, and manage all information. |

## Mathematics in computingBinary search tree, and postorder and preorder traversal Determine the shortest path in Graph |

## What is the protocol overheadWhat are the advantages of using a compiled language over an interpreted one? Under what circumstances would you select to use an interpreted language? |

## Define open and closed loop control systemsDefine open and closed loop cotrol systems.Explain difference between time varying and time invariant control system wth suitable example. |

## Write a recursive implementation of euclids algorithmWrite a recursive implementation of Euclids algorithm |

## Implementation of memory managementPaper describes about memory management. How memory is used in executing programs and its critical support for applications. |

## Implementation of memory managementAssignment covers the following eight topics and explore the implementation of memory management, processes and threads. |

## Write a procedure that produces independent stack objectsWrite a procedure (make-stack) that produces independent stack objects, using a message-passing style, e.g. |

## Realize business and organizational data storageRealize business and organizational data storage and fast access times are much more important than they have ever been. Compare and contrast magnetic tapes, magnetic disks, optical discs |

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd