Convert following infix expressions into postfix and prefix expression. 108 1) a+b+c+d*e/f/g*h^i 2) p*q+r*s+t/u*v+w. Give step by step solution
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Convert following infix expressions into postfix and prefix expression.
108
1) a+b+c+d*e/f/g*h^i
2) p*q+r*s+t/u*v+w. Give step by step solution
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- (Computation) Among other applications, Pascal’s triangle (see Figure 7.22) provides a means of determining the number of possible combinations of n things taken r at a time. For example, the number of possible combinations of five people (n = 5) taken two at a time (r=2)is10. Each row of the triangle begins and ends with 1. Every other element in a row is the sum of the element directly above it with the element to the left of the one above it. That is, element[n][r]=element[n1][r]+element[n1][r1] Using this information, write and test a C++ program to create the first 11 rows of a twodimensional array representing Pascal’s triangle. For any given value of n less than 11 and r less than or equal to n, the program should display the correct element. Use your program to determine in how many ways a committee of 8 can be selected from a group of 10 people(Practice) State whether the following are valid function names and if so, whether they’re mnemonic names that convey some idea of the function’s purpose. If they are invalid names, state why. powerdensity m1234 newamp 1234 abcd total tangent absval computed b34a 34ab volts$ a2B3 while minVal sine $sine cosine speed netdistance sum return stack(Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.
- (Practice) For the following correct algebraic expressions and corresponding incorrect C++ expressions, find the errors and write corrected C++ expressions: Algebra C++ Expression a.(2)(3)+(4)(5)(2)(3)+(4)(5) b. 6+1826+18/2 c. 4.512.23.1S4.5/12.23.1 d. 4.6(3.0+14.9)4.6(3.0+14.9) e. (12.1+18.9)(15.33.8)(12.1+18.9)(15.33.8)(Data processing) Write C++ code sections to make the following decisions: a. Ask for two integer temperatures. If their values are equal, display the temperature; otherwise, do nothing. b. Ask for character values letter1 and letter2, representing uppercase letters of the alphabet, and display them in alphabetical order. c. Ask for three integer values, num1, num2, and num3, and display them in decreasing order.(Conversion) a. Write a C++ program to convert meters to feet. The program should request the starting meter value, the number of conversions to be made, and the increment between metric values. The display should have appropriate headings and list the meters and the corresponding feet value. If the number of iterations is greater than 10, have your program substitute a default increment of 10. Use the relationship that 1 meter = 3.281 feet. b. Run the program written in Exercise 6a on a computer. Verify that your program begins at the correct starting meter value and contains the exact number of conversions specified in your input data. c. Modify the program written in Exercise 6a to request the starting meter value, the ending meter value, and the increment. Instead of the condition checking for a fixed count, the condition checks for the ending meter value. If the number of iterations is greater than 20, have your program substitute a default increment of (ending value - starting value) / 19.
- 4. Repeat Programming Exercise 3 by declaring numl, num2, and num3, and average of type double. Store 75.35 into numl, -35.56 into num2, and 15.76 into num3.(Program) Using the at() function, write a C++ program that reads in a string by using getline() and then displays the string in reverse order. (Hint: After the string has been entered and saved, retrieve and display characters, starting from the end of the string.)Write C+ + statement(s) to do the following: (1, 2) Declare an array alpha of 50 components of type int. Initialize each component of alpha to -1. Output the value of the first component of the array alpha. Set the value of the 25th component of the array alpha to 62. Set the value of the 10th component of alpha to three times the value of the 50th component of alpha plus 10. Use a for loop to output the value of a component of alpha if its index is a multiple of 2 or 3. Output the value of the last component of alpha. Output the value of the alpha so that 15 components per line are printed. i. Use a for loop to increment every other element (the even indexed elements). j. Create a new array, diffAlpha, whose elements are the differences between consecutive elements in alpha. What is the size of dif fAlpha?
- (Numerical) Using the srand() and rand() C++ library functions, fill an array of 1000 floating-point numbers with random numbers that have been scaled to the range 1 to 100. Then determine and display the number of random numbers having values between 1 and 50 and the number having values greater than 50. What do you expect the output counts to be?A(n) __________ is an array of characters.Redo Programming Exercise 8 using dowhile loops.
