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
Read Chapter 2 in your text before attempting this project. An employee is paid at a rate of $16.78 per hour for the first 40 hours worked in a week. Any hours over that are paid at the overtime rate of one-and-one-half times that. From the worker's gross pay, 6% is withheld for Social Security tax, 14% is withheld for federal income tax, 5% is withheld for state income tax and $10 per week is withheld for union dues. If the worker has three or more dependents, then an additional $35 is withheld to cover the extra cost of health insurance beyond what the employer pays. Write a program that will read in the number of hours worked in a week and the number of dependents as input and will then output the worker's gross pay, each withholding amount, and the net take-home pay for the week.
Answer:
Answered below
Explanation:
#Answer is written in Python programming language
hrs = int(input("Enter hours worked for the week: "))
dep = int(input ("Enter number of dependants: "))
pay = 16.78
ovpay = pay * 1.5
if hrs <= 40:
wage = hrs * pay
else:
wage = hrs * ovpay
ss = wage * 0.06
fedtax = wage * 0.14
statetax = wage * 0.05
dues = 10
if dep >= 3:
ins = 35
net_pay = wage - ss - fedtax - statetax - dues - ins
print(wage)
print ( ss, fedtax, statetax, dues, ins)
print (net_pay)
What is media framing?
Answer:
media frame all news items by specific values, facts, and other considerations, and endowing them with greater apparent for making related judgments
Explanation:
Write a method that extracts the dollars and cents from an amount of money given as a floating-point value. For example, an amount 2.95 yields values 2 and 95 for the dollars the cents. You may assume that the input is always a valid non-negative monetary amount.
Answer:
The method in C++ is as follows:
void dollarextract(double money){
int dollar = int (money);
int cent = (money - dollar) * 100;
cout<<dollar<<" dollar "<<cent<<" cent";
}
Explanation:
This defines the method
void dollarextract(double money){
This gets the dollar part of the amount
int dollar = int (money);
This gets the cent part of the amount
int cent = (money - dollar) * 100;
This prints the amount in dollars and cent
cout<<dollar<<" dollar "<<cent<<" cent";
}
To call the method from main, use:
dollarextract(2.95);
The above will return 2 dollar 95 cent
Write a function that receives three StaticArrays where the elements are already i n sorted order and returns a new Static Array only with those elements that appear i n all three i nput arrays. Original arrays should not be modified. If there are no elements that appear i n all three i nput arrays, return a Static Array with a single None element i n i t.
Answer:
Explanation:
The following code is written in Python. It is a function that takes the three arrays as parameters. It loops over the first array comparing to see if a number exists in the other arrays. If it finds a number in all three arrays it adds it to an array called same_elements. Finally, it prints the array.
def has_same_elements(arr1, arr2, arr3):
same_elements = []
for num1 in arr1:
if (num1 in arr2) and (num1 in arr3):
same_elements.append(num1)
else:
continue
print(same_elements)
Which of the statements below are true? Which are false?
a. In polling, I/O devices set flags that must be periodically checked by the CPU.
b. When using interrupts, the CPU interrupts I/O devices when an I/O event happens.
c. The overhead of polling depends on the polling frequency.
d. Polling is often a viable option for slow and asynchronous devices.
e. Synchronous I/O cannot be done with interrupts.
f. User processes are always blocked during asynchronous I/O operations.
g. Traps are software-generated interrupts.
h. System-calls can be implemented using either traps or polling.
i. DMA usually improves the overall system performance.
j. DMA is necessary for asynchronous I/O transfers
Answer:
a. True
b. False
c. False
d. True
e. True
f. True
g. False
h. True
i. False
j. False
Explanation:
Polling is a technique in which users are connect externally and programs are run by synchronization activity. The users are allowed to set flags for devices which are periodically checked. The end user can implement system calls using the polling technique.
In CengageNOWv2, you may move, re-size, and rearrange panels in those assignments that use multiple panels.
Answer:
true
Explanation:
trust me lol, I promise it's correct.
importance of spread sheets
Answer:
Spreadsheets are an essential business and accounting tool. They can vary in complexity and can be used for various reasons, but their primary purpose is to organize and categorize data into a logical format. Once this data is entered into the spreadsheet, you can use it to help organize and grow your business.
Explanation:
What are the two basic functions (methods) used in classical encryption algorithms?
substitution and transport
In the ( ) Model, each in a network can act as a server for all the other computers sharing files and acsess to devices
A host server
B client server
C peer to peer
Answer:
C peer to peer
Explanation:
A peer to peer is a computer network in a distributed architecture that performs various tasks and workload amount themselves. Peers are both suppliers and consumers of resources. Peers do similar things while sharing resources, which enables them to engages in greater tasks.Answer:
C. Peer-to-peer
Explanation:
On Edge, it states, "In a peer-to-peer model, each computer in a network can act as a server for all the other computers, sharing files and access to devices."
I hope this helped!
Good luck <3
PLEASE HELP
This graph shows the efficiencies of two different algorithms that solve the same problem. Which of the following is most efficient?
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.
udsvb kbfnsdkmlfkmbn mk,dsldkfjvcxkm ,./ss.dskmcb nmld;s,fknvjf
Answer:
not sure what language it is
Explanation:
Your class is in groups, working on a sets worksheet. Your classmate suggests that if the union of two non-empty sets is the empty set, then the sets must be disjoint. What would you say to explain how this statement is false, and how would you help correct them
Answer:
The answer is "[tex]\bold{A \cap\ B=\phi}[/tex]"
Explanation:
let
[tex]A=\{1,2,3\}\\\\B=\{4,5,6\}[/tex]
A and B are disjoint sets and they are not an empty set then:
[tex]A\cup\ B=\{1,2,3,4,5,6\} \\\\A\cup\ B\neq 0[/tex]
therefore if the intersection of the two non-empty sets is the empty set then its disjoint set, which is equal to [tex]\bold{A \cap\ B=\phi}[/tex].
Assume that you are working with spreadsheets, word processing documents, presentation slides, images, and sound files for a school project. You stored all your files in a folder named “untitled” on your laptop. Now, you cannot locate a particular document in this folder and you realize that you need to organize your files properly.
Write down the steps that you will take to organize your files.
Answer:
See explanation below.
Explanation:
File organization is very important especially when one is working with numerous files from different applications.
When you are working with spreadsheets, word processing documents, presentation slides, images and sound files, it is important to create folders and sub-folders to make locating your files a lot easier.
Make sure you have all your files saved with names that are relevant to your school project.Create a sub-folder to store all spreadsheets files, create a sub-folder to store all word processing files, create a sub-folder to store all presentation slides and create another folder to store images and sound files. You do this to make it easy for you to locate whichever file you want. You create the sub-folder by right clicking on your documents section and clicking on new folder. Type in the name of the folder and save.After creating sub-folders, create a general folder for all your folders by using the same method in step 3. Copy all your sub-folders into this major folder. You can name this folder the name of your school project.This way, you never have to look for any files for your school project.
Read three integers from user input without a prompt. Then, print the product of those integers. Ex: If input is 2 3 5, output is 30. Note: Our system will run your program several times, automatically providing different input values each time, to ensure your program works for any input values. See How to Use zyBooks for info on how our automated program grader works.
Answer:
Explanation:
The following code is written in Java and simply grabs the three inputs and saves them into three separate variables. Then it multiplies those variables together and saves the product in a variable called product. Finally, printing out the value of product to the screen.
import java.util.Scanner;
public class Main{
public static void main(String[] args){
Scanner in = new Scanner(System.in);
int num1 = in.nextInt();
int num2 = in.nextInt();
int num3 = in.nextInt();
int product = num1 * num2 * num3;
System.out.println(product);
}
}
Answer: Python
Explanation:
num1 = int(input())
num2 = int(input())
num3 = int(input())
product = num1 * num2 * num3
print(product)
Create a file named homework_instructions.txt using VI editor and type in it all the submission instructions from page1 of this document. Save the file in a directory named homeworks that you would have created. Set the permissions for this file such that only you can edit the file while anybody can only read. Find and list (on the command prompt) all the statements that contain the word POINTS. Submit your answer as a description of what you did in a sequential manner
Answer:
mkdir homeworks // make a new directory called homeworks.
touch homework_instructions.txt //create a file called homework_instruction
sudo -i // login as root user with password.
chmod u+rwx homework_instructions.txt // allow user access all permissions
chmod go-wx homework_instructions.txt // remove write and execute permissions for group and others if present
chmod go+r homework_instructions.txt // adds read permission to group and others if absent.
grep POINTS homework_instructions.txt | ls -n
Explanation:
The Linux commands above first create a directory and create and save the homework_instructions.txt file in it. The sudo or su command is used to login as a root user to the system to access administrative privileges.
The user permission is configured to read, write and execute the text file while the group and others are only configured to read the file.
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
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
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
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"); }
Help need right now pls
Read the following Python code:
yards - 26
hexadecimalYards = hex (yards)
print (hexadecimalYards)
Which of the following is the correct output? (5 points)
A. 0b1a
B. 0d1a
C. 0h1a
D. 0x1a
Answer:
d. 0x1a
Explanation:
Write a method named removeRange that accepts an ArrayList of integers and two integer values min and max as parameters and removes all elements values in the range min through max (inclusive). For example, if an ArrayList named list stores [7, 9, 4, 2, 7, 7, 5, 3, 5, 1, 7, 8, 6, 7], the call of removeRange(list, 5, 7); should change the list to store [9, 4, 2, 3, 1, 8
Answer:
Answered below
Explanation:
public ArrayList<Integer> removeRange(ArrayList<Integer> X, int min, int max){
int i; int j;
//Variable to hold new list without elements in //given range.
ArrayList<Integer> newList = new ArrayList<Integer>();
//Nested loops to compare list elements to //range elements.
if(max >= min){
for( i = 0; i < x.length; I++){
for(j = min; j <= max; j++){
if( x [i] != j){
newList.add( x[i] );
}
}
}
return newList;
}
}
Write a function called is_present that takes in two parameters: an integer and a list of integers (NOTE that the first parameter should be the integer and the second parameter should be the list) and returns True if the integer is present in the list and returns False if the integer is not present in the list. You can pick everything about the parameter name and how you write the body of the function, but it must be called is_present. The code challenge will call your is_present function with many inputs and check that it behaves correctly on all of them. The code to read in the inputs from the user and to print the output is already written in the backend. Your task is to only write the is_present function.
Answer:
The function in python is as follows
def is_present(num,list):
stat = False
if num in list:
stat = True
return bool(stat)
Explanation:
This defines the function
def is_present(num,list):
This initializes a boolean variable to false
stat = False
If the integer number is present in the list
if num in list:
This boolean variable is updated to true
stat = True
This returns true or false
return bool(stat)
Please help! I don’t know the answer to it :( it’s Fashion marketing
Answer:
I believe the answer should be C)
Sorry if it’s wrong,but hope it helps
A customer comes into a grocery store and buys 8 items. Write a PYTHON program that prompts the user for the name of the item AND the price of each item, and then simply displays whatever the user typed in on the screen nicely formatted. Some example input might be: Apples 2.10 Hamburger 3.25 Milk 3.49 Sugar 1.99 Bread 1.76 Deli Turkey 7.99 Pickles 3.42 Butter 2.79 Remember - you will be outputting to the screen - so do a screen capture to turn in your output. Also turn in your PYTHON program code.
Answer:
name = []
price = []
for i in range(0,8):
item_name = input('name of item')
item_price = input('price of item')
name.append(item_name)
price.append(item_price)
for i in range(0, 8):
print(name[i], '_____', price[i])
Explanation:
Python code
Using the snippet Given :
Apples 2.10
Hamburger 3.25
Milk 3.49
Sugar 1.99
Bread 1.76
Deli Turkey 7.99
Pickles 3.42
Butter 2.79
name = []
price = []
#name and price are two empty lists
for i in range(0,8):
#Allows users to enter 8 different item and price choices
item_name = input('name of item')
item_price = input('price of item')
#user inputs the various item names and prices
#appends each input to the empty list
name.append(item_name)
price.append(item_price)
for i in range(0, 8):
print(name[i], '_____', price[i])
# this prints the name and prices of each item from the list.
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
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.
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
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;
}
Instructions
An object's momentum is its mass multiplied by its velocity. Write a program that accepts an object's mass (in kilograms) and velocity (in meters per second) as inputs, and then outputs its momentum. Below is an example of the progam input and output:
Mass: 5
Velocity: 2.5
The object's momentum is 12.5
Answer:
mass = float(input("Mass: "))
velocity = float(input("Velocity: "))
momentum = mass * velocity
print("The object's momentum is ", momentum)
Explanation:
*The code is in Python.
Ask the user to enter the mass and velocity. Since both of the values could be decimal numbers, cast them as float
Calculate the momentum using given information, multiply mass by velocity
Print the momentum as example output
Python (and most programming languages) start counting with 0.
True
False
Answer:
yes its true :)
Explanation:
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);
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.
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:
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);
}
}
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
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]
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