(Numerical Data Representation) How many bits per word are required to represent the following positive decimal integers: a.0 through 100b.0 through 255c.0 through 256d.0 through 10,000,000

Answers

Answer 1

Answer:

a. 7 bits

b. 8 bits

c. 9 bits

d. 24 bits

Explanation:

Required

Number of bits per word

The formula to get the number of bits per word is:

[tex]2^n = N[/tex]

Where

n = bits

N = numbers

Solving (a) 0 to 100

There are 101 digits between 0 and 100 (inclusive)

So:

[tex]N = 101[/tex]

Substitute 101 for N in [tex]2^n = N[/tex]

[tex]2^n = 101[/tex]

101 can not be expressed as an exponent of 2.

So, we substitute 101 for the closest number greater than 101 that can be expressed as an exponent of 2.

So:

[tex]2^n = 128[/tex]

Express 128 as an exponent of 2

[tex]2^n = 2^7[/tex]

Apply law of indices

[tex]n = 7[/tex]

Hence, 7 bits are required

Solving (b): 0 through 255

There are 256 digits between 0 and 255 (inclusive)

So:

[tex]N = 256[/tex]

Substitute 256 for N in [tex]2^n = N[/tex]

[tex]2^n = 256[/tex]

Express 256 as an exponent of 2

[tex]2^n = 2^8[/tex]

Apply law of indices

[tex]n = 8[/tex]

Hence, 8 bits are required

Solving (c): 0 through 256

There are 257 digits between 0 and 256 (inclusive)

So:

[tex]N = 257[/tex]

Substitute 257 for N in [tex]2^n = N[/tex]

[tex]2^n = 257[/tex]

257 can not be expressed as an exponent of 2.

So, we substitute 257 for the closest number greater than 101 that can be expressed as an exponent of 2.

So:

[tex]2^n = 512[/tex]

Express 512 as an exponent of 2

[tex]2^n = 2^9[/tex]

Apply law of indices

[tex]n = 9[/tex]

Hence, 9 bits are required

Solving (d): 0 through 10000000

There are 10000001 digits between 0 and 10000000 (inclusive)

So:

[tex]N = 10000000[/tex]

Substitute 10000000 for N in [tex]2^n = N[/tex]

[tex]2^n = 10000000[/tex]

10000000 can not be expressed as an exponent of 2.

So, we substitute 10000000 for the closest number greater than 101 that can be expressed as an exponent of 2.

So:

[tex]2^n = 16777216[/tex]

Express 16777216  as an exponent of 2

[tex]2^n = 2^{24[/tex]

Apply law of indices

[tex]n = 24[/tex]

Hence, 24 bits are required


Related Questions

How will Excel summarize the data to create PivotTables? summarize by row but not by column summarize by column but not by row summarize by individual cells summarize by row and by column

Answers

Answer:

D. summarize by row and by column

Answer:

D.

Explanation:

g Write a program that allows a user to input any text in your program. Using the tools that we have discussed, your program should output how many unique words were in the input and then output how many words were unique.

Answers

Answer:

Explanation:

The following function/program is written in Java. It asks the user for a sentence as an input and then splits that sentence into an array of words. Then it creates an arrayList for all of the unique words, comparing each word in the sentence with all of those in the ArrayList. If a word is found in the ArrayList it cancels the loop and moves on the next word in the sentence. Finally, it counts all of the unique words in the ArrayList and prints that total to the screen.

public static void uniqueWords() {

       Scanner in = new Scanner(System.in);

       System.out.println("Enter a sentence:");

       String sentence = in.nextLine();

       String words[] = sentence.split(" ");

       ArrayList<String> uniqueWords = new ArrayList<>();

       for (int x = 0; x < words.length; x++) {

           boolean exists = false;

           for (int i = 0; i < uniqueWords.size(); i++) {

               if (words[x].equals(uniqueWords.get(i))) {

                   exists = true;

                   break;

               }

           }

           if (exists == false) {

               uniqueWords.add(words[x]);

           }

       }

       System.out.println(uniqueWords.size());

   }

Which view displays the records in columns and rows like excel worksheet​

Answers

Answer:

Datasheet View

Explanation:

Chapter 1

A B

Database Template A preformatted database designed for a specific purpose.

Datasheet View The Access view that displays data organized in columns and rows similar to an Excel worksheet.

You are a network technician for a small network. Your ITAdmin workstation just stopped communicating with all other computers in the network. You need to diagnose and fix the problem. The following IP addresses are used in this lab:

Location Computer Name IP Address
Networking Closet CorpServer 172.25.10.10
Office 1 Office 1 172.25.10.60
Office 2 Office 2 172.25.10.61
Support Office Support 172.25.10.62
IT Administration ITAdmin 172.25.10.63
Executive Office Exec 172.25.10.64

Answers

Answer:

Ping the other workstations from the IT Admin workstation to confirm that connection has been lost, check the status of the network interface card in the workstation with command ifconfig in the terminal, then reset the connection using ifdown and ifup commands. If the problem is not resolved, check the cable connection.

Explanation:

Ping is an ICMP echo message sent by a network host to another to check for connectivity. If they are connected, the other workstation responds with an ICMP response message.

The ifconfig in Linux systems displays the network adapters and their individual IP configurations. If there is no connection even after the network is reset, then the cable connectors could be the problem.

How would you open the web browser in Linux and still have access to the Linux terminal?

Answers

Answer:

Use the command "sensible-browser" I could be wrong I have not used linux in some time.

Explanation:

explain the relevancy of computers in today's global society​

Answers

Computers in today’s society connect different backgrounds of people and cultures with access to extensive information throughout the internet. With this, the relevancy of a computer is extremely common due to the ability and access to information the device holds.

Match the IP Protections Patent, Copyright and Trademark into the following cases:

a. books, poems
b. music, movies, paintings
c. company logo
d. software
e. combinations of materials to make drugs

Answers

Answer:

A) copyright

B) copyright

C)Trade mark

D) copyright

E)Patent

Explanation:

Patent can be regarded as a form of intellectual property which helps the owner of an invention to others to sell or use the invention for some period of time. Example of this is a patent that protect microwave oven.

trademark is form of intellectual property, this could be inform of symbols, words that differentiate the product of a party from another. Example of this is a bite of apple that represents apple products.

Copyright can be regarded as a legal right given to those that owns a intellectual property which gives him/her right to copy and exclude others from reaping from where they did not sow. The owner get exclusive right to reproduce the copy.

Below is the match of the intellectual property with the examples.

a. books, poems<> Copyright

b. music, movies, paintings<> Copyright

c. company logo<> Trademark

d. software<>Copyright

e. combinations of materials to make drugs<> patent

Consumers who pay more than the minimum payment on credit cards...
are crazy, why pay more than you need to?
O pay less interest in the long run.
O see their credit scores decrease.
are able to buy more things.

Answers

Pay less interest in the long run

Consider the classes Food, Cheese, and Velveeta where Cheese is a subclass of Food and Velveeta is a subclass of Cheese. State which of the following lines of code are legal.

Cheese c =new Food( );
Velveeta v =new Food( );
Cheese c =new Velveeta( );
Food f =new Velveeta( );
Food f =new Cheese( );

Answers

Answer:

Cheese c =new Velveeta( );

Food f =new Velveeta( );

Food f =new Cheese( );

Explanation:

The super-class is the parent class from which features and attributes are inherited from while the subclass or the child class is the class inheriting from the super or parent class.

In Java, the object instance of a class is created with the syntax;

class_name instance_name = new class_name();

Food is the super or parent class of Cheese (which makes Cheese its subclass) and Cheese is the parent class of Velveeta. The extends keyword is used to denote inheritance.

True or False: The major advantage of Arrays over ArrayLists in Java is the fact that while ArrayLists are fixed in size, an Array can increase or decrease in size as needed.

Answers

Answer:

False

Explanation:

It's the other way round actually. Arraylists do not have fixed size and can increase or decrease in size as needed. On the other hand, Arrays are fixed from when they are declared; they have a particular size that number of elements cannot go beyond.

An arraylist in Java is a class that is part of a Java collection framework(java.util) that can have variable sizes and only store objects, not primitive data like strings or integers. An array is a data structure in Java and can store both primitive data and objects, while having a fixed size at declaration.

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