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Find out why the following program does not work: $$ \begin{aligned} &C=A+B \\ &A=3 \\ &B=2 \\ &\text { print } C \end{aligned} $$

Short Answer

Expert verified
The program fails because it tries to calculate \( C \) before initializing \( A \) and \( B \).

Step by step solution

01

Analyze the Code Structure

Review the order of statements provided in the program to understand the sequence of operations. The statements are in this order: calculate \( C = A + B \), set \( A = 3 \), set \( B = 2 \), then print \( C \).
02

Identify the Initialization Problem

Note that the program tries to calculate \( C = A + B \) before \( A \) and \( B \) are assigned values. This results in \( C \) being calculated with undefined values for \( A \) and \( B \), leading to errors or unexpected results.
03

Rearrange the Statements

To fix the program, assign values to \( A \) and \( B \) before calculating \( C \). The correct order should be: 1) \( A = 3 \), 2) \( B = 2 \), 3) \( C = A + B \), and 4) print \( C \).
04

Verify the Solution

After rearranging the statements, verify by recalculating \( C \) with correct values for \( A \) and \( B \). In this corrected scenario, \( C = 3 + 2 = 5 \). The program should now print 5.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Variable Initialization
Initializing variables means assigning them a value before using them in your program. In programming, if you try to use a variable that hasn't been given a value, you'll end up with errors. This is because the computer won't know what value to use for that variable.

For example, in the program you're working with, you started by trying to calculate \( C = A + B \) without setting any values for \( A \) and \( B \). This means \( A \) and \( B \) were not initialized yet. Always remember to initialize variables first by giving them a specific value, like setting \( A = 3 \) and \( B = 2 \).
  • Step 1: Always declare your variables at the start.
  • Step 2: Assign them values before you use them to perform operations.
Initializing properly ensures your program runs smoothly and reduces unexpected behavior.
The Importance of Program Logic
Program logic refers to the sequence in which operations are executed in your code. Ensuring that this sequence is logical and accurate is essential to achieving the desired output.

In our example, the logical issue stems from the fact that calculations need to happen after variables are initialized. Initially, the logic was flawed because you were trying to add \( A \)and \( B \)before they were defined. Fixing the sequence to be:
  • First, set \( A = 3 \) .
  • Then, set \( B = 2 \) .
  • Next, compute \( C = A + B \) .
  • Finally, print \( C \)
This ensures the program now follows a logical, step-by-step flow, resulting in the correct value of 5 printed on the screen.
Effective Debugging Techniques
Debugging is the process of identifying and rectifying errors within your code. It's like being a detective for programming mishaps!

When debugging, you can use various techniques to find out where things go wrong. A common and effective method is to:
  • Read your code carefully and understand the logic flow.
  • Check if the values of variables are set before they are used.
  • Use print statements to check the values of variables at different points during your program’s execution.
  • Analyze any error messages provided by the interpreter.
By applying these techniques, as in our exercise, you can quickly detect that \( A and B \) weren’t initialized when \( C = A + B \)is computed. Debugging helped lead to the necessary corrections.
Correcting Syntax Errors
Syntax errors occur when your code doesn’t follow the proper structure or rules of the programming language you’re using. These are often easy to fix, but they can prevent your code from running correctly.

For instance, if you misspell a keyword, forget a colon at the end of a statement in Python, or improperly use operators or parentheses, you'll face syntax errors. In your given example, there were no explicit syntax errors except for the logical misplacement of the statements.
  • Pay attention to Python’s indentation (although not relevant to this specific example, it's usually crucial).
  • Ensure that mathematical operations are performed on properly initialized variables.
  • Consider logical errors as another form of syntax oversight since they disrupt the intended syntax flow.
By aligning statements correctly and using proper syntax, you avoid errors. This helps ensure your program executes cleanly and as expected.

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Most popular questions from this chapter

Make a program where you set a length given in meters and then compute and write out the corresponding length measured in inches, in feet, in yards, and in miles. Use that one inch is \(2.54 \mathrm{~cm}\), one foot is 12 inches, one yard is 3 feet, and one British mile is 1760 yards. As a verification, a length of 640 meters corresponds to \(25196.85\) inches, \(2099.74\) feet, \(699.91\) yards, or \(0.3977\) miles. Name of program file: length_conversion.py.

The bell-shaped Gaussian function, $$ f(x)=\frac{1}{\sqrt{2 \pi} s} \exp \left[-\frac{1}{2}\left(\frac{x-m}{s}\right)^{2}\right] $$ is one of the most widely used functions in science and technology \(^{32}\). The parameters \(m\) and \(s\) are real numbers, where \(s\) must be greater than zero. Make a program for evaluating this function when \(m=0, s=2\), and \(x=1\). Verify the program's result by comparing with hand calculations on a calculator. Name of program file: Gaussian_function1.py.

Let \(p\) be a bank's interest rate in percent per year. An initial amount \(A\) has then grown to $$ A\left(1+\frac{p}{100}\right)^{n} $$ after \(n\) years. Make a program for computing how much money 1000 euros have grown to after three years with \(5 \%\) interest rate. Name of program file: interest_rate.py.

Some versions of our program for calculating the formula (1.2) are listed below. Determine which versions that will not work correctly and explain why in each case. $$ \begin{array}{llll} \mathrm{C}=21 ; & \mathrm{F}=9 / 5 * \mathrm{C}+32 ; & & \text { print } \mathrm{F} \\ \mathrm{C}=21.0 ; & \mathrm{F}=(9 / 5) * \mathrm{C}+32 ; & & \text { print } \mathrm{F} \\ \mathrm{C}=21.0 ; & \mathrm{F}=9 * \mathrm{C} / 5+32 ; & & \text { print } \mathrm{F} \\ \mathrm{C}=21.0 ; & \mathrm{F}=9 . *(\mathrm{C} / 5 \cdot 0)+32 ; & & \text { print } \mathrm{F} \\ \mathrm{C}=21.0 ; & \mathrm{F}=9.0 * \mathrm{C} / 5 \cdot 0+32 ; & & \text { print } \mathrm{F} \\ \mathrm{C}=21 ; & \mathrm{F}=9 * \mathrm{C} / 5+32 ; & & \text { print } \mathrm{F} \\ \mathrm{C}=21.0 ; & \mathrm{F}=(1 / 5) * 9 * \mathrm{C}+32 ; & & \text { print } \mathrm{F} \\ \mathrm{C}=21 ; & \mathrm{F}=(1 . / 5) * 9 * \mathrm{C}+32 ; & & \text { print } \mathrm{F} \end{array} $$

The drag force, due to air resistance, on an object can be expressed as $$ F_{d}=\frac{1}{2} C_{D} \varrho A V^{2} $$ where \(\varrho\) is the density of the air, \(V\) is the velocity of the object, \(A\) is the cross-sectional area (normal to the velocity direction), and \(C_{D}\) is the drag coefficient, which depends heavily on the shape of the object and the roughness of the surface. The gravity force on an object with mass \(m\) is \(F_{g}=m g\), where \(g=9.81 \mathrm{~ms}^{-2}\). We can use the formulas for \(F_{d}\) and \(F_{g}\) to study the importance of air resistance versus gravity when kicking a football. The density of air is \(\varrho=1.2 \mathrm{~kg} \mathrm{~m}^{-3}\). We have \(A=\pi a^{2}\) for any ball with radius \(a\). For a football \(a=11 \mathrm{~cm}\). The mass of a football is \(0.43 \mathrm{~kg}, C_{D}\) can be taken as \(0.2\). Make a program that computes the drag force and the gravity force on a football. Write out the forces with one decimal in units of Newton \(\left(\mathrm{N}=\mathrm{kg} \mathrm{m} / \mathrm{s}^{2}\right)\). Also print the ratio of the drag force and the gravity force. Define \(C_{D}, \varrho, A, V, m, g, F_{d}\), and \(F_{g}\) as variables, and put a comment with the corresponding unit. Use the program to calculate the forces on the ball for a hard kick, \(V=120 \mathrm{~km} / \mathrm{h}\) and for a soft kick, \(V=10 \mathrm{~km} / \mathrm{h}\) (it is easy to mix inconsistent units, so make sure you compute with \(V\) expressed in \(\mathrm{m} / \mathrm{s}\) ). Name of program file: kick.py.

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