let m be a positive integer with n bit binary representation an-1 an-2 ... a1a0 with an-1=1 what are the smallest and largest values that m could have

Answers

Answer 1

Answer:

Explanation:

From the given information:

[tex]a_{n-1} , a_{n-2}...a_o[/tex] in binary is:

[tex]a_{n-1}\times 2^{n-1} + a_{n-2}}\times 2^{n-2}+ ...+a_o[/tex]

So, the largest number posses all [tex]a_{n-1} , a_{n-2}...a_o[/tex]  nonzero, however, the smallest number has [tex]a_{n-2} , a_{n-3}...a_o[/tex] all zero.

The largest = 11111. . .1 in n times and the smallest = 1000. . .0 in n -1 times

i.e.

[tex](11111111...1)_2 = ( 1 \times 2^{n-1} + 1\times 2^{n-2} + ... + 1 )_{10}[/tex]

[tex]= \dfrac{1(2^n-1)}{2-1}[/tex]

[tex]\mathbf{=2^n -1}[/tex]

[tex](1000...0)_2 = (1 \times 2^{n-1} + 0 \times 2^{n-2} + 0 \times 2^{n-3} + ... + 0)_{10}[/tex]

[tex]\mathbf {= 2 ^{n-1}}[/tex]

Hence, the smallest value is [tex]\mathbf{2^{n-1}}[/tex] and the largest value is [tex]\mathbf{2^{n}-1}[/tex]


Related Questions


What are the two basic functions (methods) used in classical encryption algorithms?

Answers

Substitution and transposition

substitution and transport

During TCP/IP communications between two network hosts, information is encapsulated on the sending host and decapsulated on the receiving host using the OSI model. Match the information format with the appropriate layer of the OSI model.

a. Packets
b. Segments
c. Bits
d. Frames

1. Session Layer
2. Transport Layer
3. Network Layer
4. Data Link Layer
5. Physical Layer

Answers

Answer:

a. Packets - Network layer

b. Segments - Transport layer

c. Bits - Physical layer

d. Frames - Data link layer

Explanation:

When TCP/IP protocols are used for communication between two network hosts, there is a process of coding and decoding also called encapsulation and decapsulation.

This ensures the information is not accessible by other parties except the two hosts involved.

Operating Systems Interconnected model (OSI) is used to standardise communication in a computing system.

There are 7 layers used in the OSI model:

1. Session Layer

2. Transport Layer

3. Network Layer

4. Data Link Layer

5. Physical Layer

6. Presentation layer

7. Application layer

The information formats given are matched as

a. Packets - Network layer

b. Segments - Transport layer

c. Bits - Physical layer

d. Frames - Data link layer

Consider the following method.


public int locate(String str, String oneLetter)

{
int j = 0;
while(j < str.length() && str.substring(j, j+1).compareTo*oneLetter < 0)
{
j++;
}
return j;
}

Which of the following must be true when the while loop terminates?

a. j == str.length()
b. str.substring(j, j+1) >= 0
c. j <= str.length() || str.substring(j, j+1).compareTo(oneLetter) > 0
d. j == str.length() || str.substring(j, j+1).compareTo(oneLetter) >= 0
e. j == str.length() && str.substring(j, j+1).compareTo(oneLetter) >= 0

Answers

Answer:

All

Explanation:

From the available options given in the question, once the while loop terminates any of the provided answers could be correct. This is because the arguments passed to the while loop indicate two different argument which both have to be true in order for the loop to continue. All of the provided options have either one or both of the arguments as false which would break the while loop. Even options a. and b. are included because both would indicate a false statement.

PLEASE HELP
This graph shows the efficiencies of two different algorithms that solve the same problem. Which of the following is most efficient?

Answers

Answer:

D is correct

Explanation:

Think of it by plugging in values. Clearly the exponential version, according the graph, is more efficient with lower values. But then it can be seen that eventually, the linear will become more efficient as the exponential equation skyrockets. D is the answer.

Consider the definition of the Person class below. The class uses the instance variable adult to indicate whether a person is an adult or not.

public class Person
{
private String name;
private int age;
private boolean adult;
public Person (String n, int a)
{

name = n;
age = a;
if (age >= 18)
{
adult = true;
}
else
{
adult = false;
}
}
}

Which of the following statements will create a Person object that represents an adult person?

a. Person p = new Person ("Homer", "adult");
b. Person p = new Person ("Homer", 23);
c. Person p = new Person ("Homer", "23");
d. Person p = new Person ("Homer", true);
e. Person p = new Person ("Homer", 17);

Answers

Answer:

b. Person p = new Person ("Homer", 23);

Explanation:

The statement that will create an object that represents an adult person would be the following

Person p = new Person ("Homer", 23);

This statement creates a Person object by called the Person class and saving it into a variable called p. The Person method is called in this object and passed a string that represents the adult's name and the age of the adult. Since the age is greater than 18, the method will return that adult = true.

The other options are either not passing the correct second argument (needs to be an int) or is passing an int that is lower than 18 meaning that the method will state that the individual is not an adult.

most of the answers for this test is wrong.

Answers

Answer: C, Showing professional behavior.

Explanation:

In what way can an employee demonstrate commitment?

Answers

Answer:

Come to work on time ready to work. Always work above and beyond. ... Come to work on time, follow all rules, do not talk about people, and be positive get along with coworkers.

Explanation:

An employee can demonstrate commitment to their job and organization in several ways.

First and foremost, they show dedication and enthusiasm by consistently meeting deadlines, going above and beyond to achieve goals, and taking ownership of their responsibilities.

Being punctual and reliable also reflects commitment. Employees who actively participate in team efforts, support colleagues, and offer innovative ideas exhibit their dedication to the company's success.

Demonstrating a willingness to learn and grow by seeking additional training or taking on new challenges further showcases commitment.

Ultimately, a committed employee is driven by a genuine passion for their work, a strong work ethic, and a sense of loyalty to their organization's mission and values.

Know more about employee commitment:

https://brainly.com/question/34152205

#SPJ6

What is the relationship between an object and class in an OOP program?


The object contains classes.

The object and class are the same thing.

The object is used to create a class.

The object in a program is called a class.

Answers

Answer:

D. The object in a program is called a class.

Explanation:

Java is a object oriented and class-based programming language. It was developed by Sun Microsystems on the 23rd of May, 1995. Java was designed by a software engineer called James Gosling and it is originally owned by Oracle.

In object-oriented programming (OOP) language, an object class represents the superclass of every other classes when using a programming language such as Java. The superclass is more or less like a general class in an inheritance hierarchy. Thus, a subclass can inherit the variables or methods of the superclass.

Basically, all instance variables that have been used or declared in any superclass would be present in its subclass object.

Hence, the relationship between an object and class in an OOP program is that the object in a program is called a class.

For example, if you declare a class named dog, the objects would include barking, color, size, breed, age, etc. because they are an instance of a class and as such would execute a method defined in the class.

You can expect to see

Answers

Answer:

what?ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

D

Explanation:

You can expect to see ________.

A. STOP signs or traffic lights on limited access highways

B. only traffic lights on limited access highways

C. only STOP signs on limited access highways

D. no STOP signs or traffic lights on limited access highways

b) Develop a truth table for expression AB+ C.

Answers

It will become c-ab :)

Mark is a stockbroker in New York City. He recently asked you to develop a program for his company. He is looking for a program that will calculate how much each person will pay for stocks. The amount that the user will pay is based on:


The number of stocks the Person wants * The current stock price * 20% commission rate.


He hopes that the program will show the customer’s name, the Stock name, and the final cost.


The Program will need to do the following:


Take in the customer’s name.

Take in the stock name.

Take in the number of stocks the customer wants to buy.

Take in the current stock price.

Calculate and display the amount that each user will pay.

A good example of output would be:

May Lou
you wish to buy stocks from APPL
the final cost is $2698.90

Answers

ok sorry i cant help u with this

The Clean Air Act Amendments of 1990 prohibit service-related releases of all ____________. A) GasB) OzoneC) MercuryD) Refrigerants

Answers

Answer:

D. Refrigerants

Explanation:

In the United States of America, the agency which was established by US Congress and saddled with the responsibility of overseeing all aspects of pollution, environmental clean up, pesticide use, contamination, and hazardous waste spills is the Environmental Protection Agency (EPA). Also, EPA research solutions, policy development, and enforcement of regulations through the resource Conservation and Recovery Act .

The Clean Air Act Amendments of 1990 prohibit service-related releases of all refrigerants such as R-12 and R-134a. This ban became effective on the 1st of January, 1993.

Refrigerants refers to any chemical substance that undergoes a phase change (liquid and gas) so as to enable the cooling and freezing of materials. They are typically used in air conditioners, refrigerators, water dispensers, etc.

Answer:

D

Explanation:

What is media framing?

Answers

Answer:

media frame all news items by specific values, facts, and other considerations, and endowing them with greater apparent for making related judgments

Explanation:

Consider the following method.
public static int getValue(int[] data, int j, int k)
{
return data[j] data[k];
}
Which of the following code segments, when appearing in another method in the same class as getValue, will print the value 70?
a. int arr = {40, 30, 20, 10, 0);
System.out.println(getValue(arr, 1, 2));
b. int[] arr = {40, 30, 20, 10, 0);
System.out.println(getValue(arr, 1, 2));
c. int[] arr = {50, 40, 30, 20, 10};
System.out.println(getValue(arr, 1, 2));
d. int arr = {40, 30, 20, 10, 0};
System.out.println(getValue(arr, 2, 1));
e. int arr = {50, 40, 30, 20, 10};
System.out.println(getValue(arr, 2, 1));

Answers

Answer:

int[] arr = {50, 40, 30, 20, 10};

System.out.println(getValue(arr, 1, 2));

Explanation:

I found the answer using somebody's quizlet.

The code segment which appears in another method in the same class as getValue will print the value 70 as follows:

int[] arr = {50, 40, 30, 20, 10};

       System.out.println(getValue(arr, 1, 2));

Thus, the correct option for this question is C.

What is a Code segment?

A code segment may be defined as one of the sections or part of a computer's program in an object file or in memory, which significantly contains executable instructions. It is also known as the text segment of a programming language.

A process of code segment that is an executable portion of computer memory allocated to a particular process. The process of Code Segment includes the implementation of Verification in order to compare a process code segment to some expected value.

Therefore, the correct option for this question is C.

To learn more about Code segments, refer to the link:

https://brainly.com/question/25781514

#SPJ5

The Fast as Light Shipping company charges the following rates. Weight of the item being sent Rate per 100 Miles shipped 2kg or less. $0.25 Over than 2 kg but not more than 10 kg $0.30 Over 10 kg but not more than 20 kg. $0.45 Over 20 kg, but less than 50kg. $1.75 Write a program that asks for the weight of the package, and the distance to be sent. And then displays the charge.

Answers

Answer:

weight = float(input("Enter the weight of the package: "))

distance = float(input("Enter the distance to be sent: "))

weight_charge = 0

if weight <= 2:

   weight_charge = 0.25

elif 2 < weight <= 10:

   weight_charge = 0.3

elif 10 < weight <= 20:

   weight_charge = 0.45

elif 20 < weight <= 50:

   weight_charge = 1.75

if int(distance / 100) == distance / 100:

  d = int(distance / 100)

else:

   d = int(distance / 100) + 1

   

total_charge = d * weight_charge

print("The charge is $", total_charge)

Explanation:

*The code is in Python.

Ask the user to enter the weight and distance

Check the weight to calculate the weight_cost for 100 miles. If it is smaller than or equal to 2, set the weight_charge as 0.25. If it is greater than 2 and smaller than or equal to 10, set the weight_charge as 0.3. If it is greater than 10 and smaller than or equal to 20, set the weight_charge as 0.45. If it is greater than 20 and smaller than or equal to 50, set the weight_charge as 1.75

Since those charges are per 100 miles, you need to consider the distance to find the total_charge. If the int(distance / 100) is equal to (distance / 100), you set the d as int(distance / 100). Otherwise, you set the d as int(distance / 100) + 1. For example, if the distance is 400 miles, you need to multiply the weight_charge by 4, int(400/100) = 4. However, if the distance is 410, you get the int(400/100) = 4, and then add 1 to the d for the extra 10 miles.

Calculate the total_charge, multiply d by weight_charge

Print the total_charge

Write a program that prompts the user to enter a fraction in the following format (x/y). You may assume that the user will input numbers and a slash, but your program should deal with spaces. Use String methods to parse out the numerator and denominator (e.g. indexOf(), trim(), substring() etc.) Once you have the numerator and denominator, your program will determine whether the number is a proper fraction or an improper fraction. If it is a proper fraction, display the number. If not, reduce it to a mixed fraction or to an integer (see sample output below).

Answers

Answer:

fraction = input("enter fraction x/y: ")

if len(fraction) == 3:

   if fraction[1] == "/":

       try:

           num = int(fraction[0])

           den = int(fraction[2])

           if num < den:

               print(f"{num}/{den} is a proper fraction")

           else:

               if num% den == 0

                   print(f"{num}/{den} is an improper fraction and can be reduced to {num/den}")

               else:

                   print(f"{num}/{den} is an improper fraction and can be reduced to {num//den} + {num - (den * (num//den))}/{den}")

       except ValueError:

           print("numerator and denominator must be integer numbers")

Explanation:

The try and except statement of the python program is used to catch value error of the input fraction of values that are not number digits. The program converts the numerator and denominator string values to integers and checks for the larger value of both.

The program prints the fraction as a proper fraction if the numerator is lesser and improper if not.

when you look directly at a camera lens, it may seen like there is only one lens, but entering light actually passes through a series of lenses, or_____, that bend the light and send it on its way to be focused on the film or digital. chip

Frame
Optics
Flash
SD cARD

Answers

Answer:

The answer should be optics...

Explanation:

If aa person is known to have look at a camera lens straight and light passes via a number of lenses, or Optics.

What is Optics?

This is known to be an aspect  of physics that looks at the attributes and properties of light, such as its relationship with matter, etc.

Therefore,  If a person is known to have look at a camera lens straight and light passes via a number of lenses, or Optics.

Learn more about Optics from

https://brainly.com/question/18300677

#SPJ9

Python (and most programming languages) start counting with 0.
True
False

Answers

True....................

Answer:

yes its true  :)

Explanation:

Consider an entity set Person, with attributes social security number (ssn), name, nickname, address, and date of birth(dob). Assume that the following business rules hold: (1) no two persons have the same ssn; (2) no two persons have he same combination of name, address and dob. Further, assume that all persons have an ssn, a name and a dob, but that some persons might not have a nickname nor an address.
A) List all candidate keys and all their corresponding superkeys for this relation.
B) Write an appropriate create table statement that defines this entity set.

Answers

Answer:

[tex]\pi[/tex]

Explanation:

Write a program, named NumDaysLastNameFirstName.java, which prompts the user to enter a number for the month and a number for the year. Using the information entered by the user and selection statements, display how many days are in the month. Note: In the name of the file, LastName should be replaced with your last name and FirstName should be replaced with your first name. When you run your program, it should look similar to this:

Answers

Answer:

Explanation:

The following code is written in Java and uses Switch statements to connect the month to the correct number of days. It uses the year value to calculate the number of days only for February since it is the only month that actually changes. Finally, the number of days is printed to the screen.

import java.util.Scanner;

public class NumDaysPerezGabriel {

   public static void main(String args[]) {

       int totalDays = 0;

       Scanner in = new Scanner(System.in);

       System.out.println("Enter number for month (Ex: 01 for January or 02 for February): ");

       int month = in.nextInt();

       System.out.println("Enter 4 digit number for year: ");

       int year = in.nextInt();

       switch (month) {

           case 1:

               totalDays = 31;

               break;

           case 2:

               if ((year % 400 == 0) || ((year % 4 == 0) && (year % 100 != 0))) {

                   totalDays = 29;

               } else {

                   totalDays = 28;

               }

               break;

           case 3:

               totalDays = 31;

               break;

           case 4:

               totalDays = 30;

               break;

           case 5:

               totalDays = 31;

               break;

           case 6:

               totalDays = 30;

               break;

           case 7:

               totalDays = 31;

               break;

           case 8:

               totalDays = 31;

               break;

           case 9:

               totalDays = 30;

               break;

           case 10:

               totalDays = 31;

               break;

           case 11:

               totalDays = 30;

               break;

           case 12:

               totalDays = 31;

       }

       System.out.println("There are a total of " + totalDays + " in that month for the year " + year);

   }

}

In this programming assignment, you will write a simple program in C that outputs one string. This assignment is mainly to help you get accustomed to submitting your programming assignments here in zyBooks. Write a C program using vim that does the following. Ask for an integer input from the user. Do not print any prompt for input. If the number is divisible by 3, print the message CS If the number is divisible by 5, print the message 1714 If the number is divisible by both 3

Answers

Answer:

In C:

#include <stdio.h>

int main() {

   int mynum;

   scanf("%d", &mynum);

   if(mynum%3 == 0 && mynum%5 != 0){

       printf("CS");    }

   else if(mynum%5 == 0 && mynum%3 != 0){

       printf("1714");    }

   else if(mynum%3 == 0 && mynum%5 == 0){

       printf("CS1714");    }

   else    {

       printf("ERROR");   }

   return 0;

}

Explanation:

This declares mynum as integer

   int mynum;

This gets user input

   scanf("%d", &mynum);

This condition checks if mynum is divided by 3. It prints CS, if true

   if(mynum%3 == 0 && mynum%5 != 0){

       printf("CS");    }

This condition checks if mynum is divided by 5. It prints 1714, if true

   else if(mynum%5 == 0 && mynum%3 != 0){

       printf("1714");    }

This condition checks if mynum is divided by 3 and 5. It prints CS1714, if true

   else if(mynum%3 == 0 && mynum%5 == 0){

       printf("CS1714");    }

This condition checks if num cannot be divided by 3 and 5. It prints ERROR, if true

   else    {

       printf("ERROR");    }

You've created a new programming language, and now you've decided to add hashmap support to it. Actually you are quite disappointed that in common programming languages it's impossible to add a number to all hashmap keys, or all its values. So you've decided to take matters into your own hands and implement your own hashmap in your new language that has the following operations:
insert x y - insert an object with key x and value y.
get x - return the value of an object with key x.
addToKey x - add x to all keys in map.
addToValue y - add y to all values in map.
To test out your new hashmap, you have a list of queries in the form of two arrays: queryTypes contains the names of the methods to be called (eg: insert, get, etc), and queries contains the arguments for those methods (the x and y values).
Your task is to implement this hashmap, apply the given queries, and to find the sum of all the results for get operations.
Example
For queryType = ["insert", "insert", "addToValue", "addToKey", "get"] and query = [[1, 2], [2, 3], [2], [1], [3]], the output should be hashMap(queryType, query) = 5.
The hashmap looks like this after each query:
1 query: {1: 2}
2 query: {1: 2, 2: 3}
3 query: {1: 4, 2: 5}
4 query: {2: 4, 3: 5}
5 query: answer is 5
The result of the last get query for 3 is 5 in the resulting hashmap.
For queryType = ["insert", "addToValue", "get", "insert", "addToKey", "addToValue", "get"] and query = [[1, 2], [2], [1], [2, 3], [1], [-1], [3]], the output should be hashMap(queryType, query) = 6.
The hashmap looks like this after each query:
1 query: {1: 2}
2 query: {1: 4}
3 query: answer is 4
4 query: {1: 4, 2: 3}
5 query: {2: 4, 3: 3}
6 query: {2: 3, 3: 2}
7 query: answer is 2
The sum of the results for all the get queries is equal to 4 + 2 = 6.
Input/Output
[execution time limit] 4 seconds (py3)
[input] array.string queryType
Array of query types. It is guaranteed that each queryType[i] is either "addToKey", "addToValue", "get", or "insert".
Guaranteed constraints:
1 ≤ queryType.length ≤ 105.
[input] array.array.integer query
Array of queries, where each query is represented either by two numbers for insert query or by one number for other queries. It is guaranteed that during all queries all keys and values are in the range [-109, 109].
Guaranteed constraints:
query.length = queryType.length,
1 ≤ query[i].length ≤ 2.
[output] integer64
The sum of the results for all get queries.
[Python3] Syntax Tips
# Prints help message to the console
# Returns a string
def helloWorld(name):
print("This prints to the console when you Run Tests")
return "Hello, " + name

Answers

Answer:

Attached please find my solution in JAVA

Explanation:

long hashMap(String[] queryType, int[][] query) {

       long sum = 0;

       Integer currKey = 0;

       Integer currValue = 0;

       Map<Integer, Integer> values = new HashMap<>();

       for (int i = 0; i < queryType.length; i++) {

           String currQuery = queryType[i];

           switch (currQuery) {

           case "insert":

               HashMap<Integer, Integer> copiedValues = new HashMap<>();

               if (currKey != 0 || currValue != 0) {

                   Set<Integer> keys = values.keySet();

                   for (Integer key : keys) {

                       copiedValues.put(key + currKey, values.get(key) + currValue);

                   }

                   values.clear();

                   values.putAll(copiedValues);

                   currValue = 0;

                   currKey = 0;

               }

               values.put(query[i][0], query[i][1]);

               break;

           case "addToValue":

               currValue += values.isEmpty() ? 0 : query[i][0];

               break;

           case "addToKey":

               currKey += values.isEmpty() ? 0 : query[i][0];

               break;

           case "get":

               copiedValues = new HashMap<>();

               if (currKey != 0 || currValue != 0) {

                   Set<Integer> keys = values.keySet();

                   for (Integer key : keys) {

                       copiedValues.put(key + currKey, values.get(key) + currValue);

                   }

                   values.clear();

                   values.putAll(copiedValues);

                   currValue = 0;

                   currKey = 0;

               }

               sum += values.get(query[i][0]);

           }

       }

       return sum;

   }

what if an html code became cracked and formed a bug how can i repair that

Answers

I suggest you look up a video for it ofc
Other Questions
Help please will mark brainlist!!! Plz help fast! If an earthquake that started on land moves to the ocean what would happen to its speed? i need step by step help pls someone help me and quick! Type the missing number in this sequence:1, 2, 5, 10, , 26, 37, 50 Olympic games, the poems of Homer, and Hellenistic culture are associated with which ancient civilization? How do you define health? Suppose restaurant A's chicken salad contains 6more grams of fat than restaurant B's chicken salad. Find the number of grams of fat in each salad if there are 56grams of fat in the two salads by solving the equation x plus (x plus 6 )equals 56,where xrepresents the number of fat grams in the restaurant B's chicken salad and x plus 6represents the number of fat grams in restaurant A's chicken salad. 5. To take care of ourselves, we must...a. mimic the people around us.b. avoid unsafe situations at all costs.c. pay attention to the signals our bodies send.d. ask our caretakers to make sure we make good choices. A line passes through the points (4, -1) and (2,3). What is the slope of the line? Black skin color is dominant to pink skin color in pigs. Two heterozygous black pigs are crossed. a. What is the probability that their offspring will have pink skin? b. What is the probability that the first and second off- spring will have black skin? c. If these pigs produce a total of three piglets, what is the probability that two will be pink and one will be black? How has Europe changed in the last 100 years? 8=2/5cHelp me Im single ready to mingle Please help its past due rn and I have no clue what the answer is!Based on the map, a Pennsylvania State Senate candidate who believes inexpanding social welfare programs and protecting the environment would bemost likely to succeed in which region? what is concord and the meaning of concord pre- Before Question 1 What word would I get if I added the base word "create" to the suffix -tion? (turning the verb into a noun) Find the solution of the system of equations.4x 2y = -6x + 4y = -24 Drag each statement to the correct category to show whether it impacts the quality or quantity of water. Statements may be used once or not at all. What is the percent of change? Round to the nearest whole percent if necessary. Is the percent of change an increase or decrease? 100 to 150 Siyoni, Adam and Ben share some money in the ratio 5:3:4 In total, Adam and Ben receive $84 Work out how much they cach get. (help me ill give brainliest!) There are many important laws and theories in science. Which of the following is a law of scienco?A living thing is made of at least one cell.An atom is made of electrons orbiting a nucleus.Gravity will pull two objects toward each other.Natural selection will change species to fit their environments.