C101 Homework 1 Due 13014 Write An Algorithm For The Followi

C101 Homework 1 Due 13014write An Algorithm For The Following

Write an algorithm for the following problems. (You do not need to write a program for these problems yet). The algorithm can just be hand written, but make sure it is readable and if multiple pages make sure to staple them together.

Problems:

1. Calculate the volume in cubic feet of a rectangular solid given its height, width, and length. Inputs: Height, Width, Length. Output: Volume = Length × Width × Height.
2. Given the radius (R) of a circle, calculate the area (A) and circumference (C). Formulas: A = πR², C = 2πR.
3. Ask the user to enter an integer. If the number is between 1 and 100 (inclusive), display "Good Input"; otherwise, display "Bad Input".
4. Convert a total number of days into years and days remaining. For example, 1254 days equals 3 years and 159 days. Assume 365 days in a year. Use division and modulo operators.
5. Prompt the user to enter a number and determine if it is negative or positive, displaying the appropriate message. Continue prompting until the user enters zero, at which point the loop ends.
6. Allow the user to enter weights of multiple people, maintaining a running total of all weights and counting the number of entries. When the user enters a weight less than or equal to zero, stop and display the average weight of all entered people.

Paper For Above instruction

This document outlines the algorithms required to solve several programming problems involving basic input/output operations, mathematical calculations, and control flow. These problems serve as foundational exercises to develop logical thinking and program structuring skills in programming beginners. The algorithms are described in a step-by-step manner, suitable for manual implementation or translation into programming code in the future.

1. Calculating the Volume of a Rectangular Solid

The first problem involves calculating the volume of a rectangular solid, which is a three-dimensional object with measurable height, width, and length. The algorithm begins by prompting the user to input the height, width, and length of the solid. These inputs should be stored in corresponding variables. To find the volume, the algorithm multiplies these three values: volume = length × width × height. The result is then displayed. This simple calculation emphasizes the importance of correctly accepting input values and performing basic arithmetic operations.

2. Computing Area and Circumference of a Circle

The second problem requires calculating the area and circumference of a circle given its radius (R). The algorithm starts by prompting the user to input the radius. The area is calculated using the formula A = πR², where π (pi) is approximately 3.1416. The circumference is calculated via C = 2πR. Both calculations involve multiplication and utilize the value of pi, which should be defined as a constant for accuracy and clarity. After computing, display the results for both area and circumference to the user.

3. Validating User Input Within a Range

In the third problem, the user is asked to enter an integer. The algorithm checks whether this number falls within the range of 1 to 100, inclusive. If it does, the program outputs "Good Input"; otherwise, it outputs "Bad Input". This control flow involves a simple if-else statement. The process may be performed once or within a loop if repeated validation is desired.

4. Converting Days to Years and Days

The fourth problem involves converting a total number of days into years and remaining days. The user inputs the total number of days. The algorithm calculates the years by dividing the total days by 365 using integer division (// in some languages). The remaining days are obtained using the modulo operator (%). The program then displays the result in a formatted string such as "X years and Y days". This task demonstrates the use of division and modulus operators to decompose a total into component parts.

5. Determining if a Number is Positive or Negative

This problem involves repeatedly prompting the user for a number and displaying whether the number is positive or negative. When the user enters zero, the loop terminates. The algorithm begins with a loop that continues until zero is entered. Inside the loop, after accepting input, it checks whether the number is greater than zero, less than zero, or equal to zero. Based on the comparison, it displays the respective message. This approach uses control flow statements to implement repetitive checking based on user input.

6. Calculating Average Weight of People

The sixth problem prompts the user to enter the weight of each person iteratively. With each entry, the total weight is accumulated, and a counter tracks the number of people entered. The process repeats until the user enters a weight less than or equal to zero, indicating no more entries. At this point, the algorithm calculates the average weight by dividing the total weight by the number of entries. The result is then displayed to the user. Proper handling of zero or negative input prevents erroneous calculations and signals the end of data entry.

Conclusion

These algorithms, although simple in nature, provide a comprehensive foundation for understanding input handling, mathematical calculations, control structures, and output formatting in programming. They serve as vital stepping stones toward developing more complex software applications. Correct implementation of these algorithms in actual code will reinforce logical thinking and problem-solving skills essential for programming proficiency.

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