1.2.7 Tracing algorithms:

• What are the three primary components of an algorithm?

  Input, process, output
• Algorithms can perform complex tasks by breaking them down into simple, step-by-step instructions.


  True
• What is the output of an algorithm?

  The result produced by processing
• To trace an algorithm, you must start with the input values
• In the algorithm to find the maximum of two numbers, what is the value of 'max' if x is 5 and y is 10?

  10
• What is the purpose of tracing an algorithm?

  To understand its behavior
• During tracing, you must keep track of intermediate values and variable changes
• Steps to trace a simple algorithm

  1️⃣ Start with input values

  2️⃣ Execute each step in order

  3️⃣ Keep track of intermediate values

  4️⃣ Observe the final output
• Tracing an algorithm step-by-step helps identify errors in its logic.

  True
• Match the data type with its description:

  Integer ↔️ Whole numbers

  Float ↔️ Decimal numbers

  String ↔️ Text data

  Boolean ↔️ Logical values
• What value does the variable 'total' have after line 1 in the algorithm?

  15
• The output of the algorithm is 'Less than or equal to 15
• Understanding variables and data types is crucial for tracing algorithms effectively.


  True
• The data type for storing text is called a string
• Trace the execution of the following algorithm:

  1️⃣ x = 5, y = 10

  2️⃣ total = x + y = 5 + 10 = 15

  3️⃣ total > 15 is false

  4️⃣ output = "Less than or equal to 15"

  5️⃣ Output output
• The process component of an algorithm transforms the input data.
• What is the purpose of an assignment command in an algorithm?

  Store or update a value
• The process in an algorithm refers to the steps taken to transform the input
• Match the algorithm command with its description:

  Assignments ↔️ Store or update variable values

  Conditionals ↔️ Make decisions based on conditions

  Loops ↔️ Repeat a set of instructions
• Tracing an algorithm involves executing each step sequentially to understand its behavior and identify errors.


  True
• Steps to trace the algorithm to find the maximum of two numbers:

  1️⃣ Input x = 5, y = 10

  2️⃣ If x > y then

  3️⃣ max = x

  4️⃣ Else max = y

  5️⃣ Output max
• During tracing, intermediate values and variable changes must be tracked
• When tracing an algorithm, you should start with the input values.


  True
• What is the final step in tracing an algorithm?

  Observe the final output
• What output does the algorithm produce when x = 5 and y = 10?

  10
• What is the purpose of variables in algorithms?

  To store data
• In algorithms, variables can be assigned new values, updated, or used in calculations
• The condition 'total > 15' in the algorithm is false when total = 15.


  True
• What is the final output of the algorithm if x = 5 and y = 10?

  Less than or equal to 15
• What is an example of an integer data type?

  $x =$$5$
• A boolean variable can store true or false values.


  True
• What are the three key components of an algorithm?

  Input, process, output
• The output of an algorithm is always the final step in the process.

  True
• Conditionals in algorithms are used to make decisions based on conditions
• What is the purpose of tracing an algorithm?

  Identify errors and ensure correct behavior
• During tracing, it is important to keep track of intermediate values and variable changes
• What is the purpose of tracing an algorithm?

  Understand its behavior
• The final output of an algorithm is observed during tracing.


  True
• Why is tracing an algorithm useful for identifying errors?

  Ensures correct behavior
• What are variables used for in algorithms?

  Store and manipulate data